\ Wn»s* S>V‘ UNITED STATES DEPARTMENT OF COMMERCE • Charles Sawyer, Secretary NATIONAL BUREAU OF STANDARDS • E. U. Condon, Director Tables of the Binomial Probability Distribution National Bureau of Standards Applied Mathematics Series • 6 Issued January 27, 1950 UNITED STATES GOVERNMENT PRINTING OFFICE, WASHINGTON : 1949 FOR SALE BY THE SUPERINTENDENT OF DOCUMENTS, U. S. GOVERNMENT PRINTING OFFICE, WASHINGTON 25, D. C. PRICE $2.50 (Buckram) The present tables were prepared for limited distribution in mimeographed form by a branch of the Department of the Army just after the close of World War II. The present edition consists of a photographic reproduction of the mimeographed tables, after some rearrangement of columns and the deletion of columns of zeros, with the addition of a foreword and a new introduction. The Statistical Engineering Laboratory of the National Bureau of Standards handled the details of preparing these tables for publication in their present form. II Contents S K). 1 U * 35a, Page Foreword_ iv Introduction_ y The binomial probability distribution_ v Scope of the tables_ v Method of preparation_ vi Interpolation_ vn Applications_ vm Other tables_vm References_ x Table 1. Individual terms (j^p T q n ~ r _ 1 [£> = .01(.01).50; q=l—p ; n=2(l)49; r=0(l)n— 1; 7D] n /n\ Table 2. Partial sums s \p s q n ~ s _ 197 [p=.01(.01).50; q—l—p; n=2(l)49; r = 1 (l)r^; 7D] [A list of the Mathematical Tables issued by the National Bureau of Standards is given at the end of this volume.] * hi Foreword The two most important discrete probability distributions, both in the theory of probability and in its applications, are (1) the binomial (or Bernoulli) distribution, which gives the probability of 0, 1, 2, . . . , n occurrences in n independent trials of an event whose probability of occurrence in any single trial is p, and (2) the Poisson dis¬ tribution, which is its limiting form when n ->°°, p—»0, and np tends to a finite limit. Tables of the latter that are adequate for most purposes have been available for some time, e. g., the tables of H. E. Soper, and of Lucy Whitaker, published in Biometrika, 10 (1914), and reprinted in Tables for Statisticians and Biometricians, Part I (Edited by Karl Pearson, Biometric Laboratory, University College, London, 1st ed., 1914; 2d ed., 1924; 3d ed., 1930), the table in T. C. Fry, Probability and Its Engineering Uses (D. Van Nostrand Co., Inc., New York, N. Y., 1928), and the tables of E. C. Molina, Poisson's Exponential Binomial Limit (D. Van Nostrand Co., Inc., New York, N. Y., 1942). On the other hand, there is no published table of the binomial distri¬ bution as such, which is both convenient to use and of sufficient scope, accuracy, and detail for many of the varied practical applications of this distribution, particularly in the biological sciences and engineering. Cumulative sums of terms of the binomial distribution can be obtained directly from Tables of the Incomplete Beta-Function (Edited by Karl Pearson, Biometrika Office, University College, London, 1934), but, owing to the conflict between the nota¬ tion of the tables and that commonly used for the binomial distribution, the extraction of a binomial probability from the tables is particularly difficult on each new occasion, and even for continual use requires patience and care. Table 2 of the present volume, which gives cumulative sums, was prepared from Pearson’s tables in this way, and table 1, which gives individual terms, was then obtained by differencing; and both tables were so constructed by personnel of the Department of the Army and issued in mimeo¬ graphed form for limited distribution. In view of the increasing need by the Statistical Engineering Laboratory, and in response to numerous requests from both within and without the Government for wider availability of tables of these types, permission was obtained to reproduce them. The present edition consists of a photographic reproduction of the mimeographed edi¬ tion, after some rearrangement of columns and deletion of columns of zeros, and the addition of a new introduction. Considering the nature and number of steps involved, it cannot be hoped that no errors remain. The undersigned will appreciate notification of such errors as may be found by users of these tables, so that a list of errata may be issued in due course. Churchill Eisenhart. Statistical Engineering Laboratory, National Bureau of Standards, Washington. March 1949. IV Introduction The Binomial Probability Distribution If the probability of occurrence of an event E (“success”) in any single trial is p, 0r|n,p}=S p s q n ~*-. (2) for r=0,l,2, . . . , n. Since the expression on the right-hand side of (1) is the (r-\-l)—th term in the binomial expansion of (q-{-p) n , the number of successes, s, is said to be distributed in accordance with the binomial probability distribution; or simply, the binomial distribution, for short; sometimes called the Bernoulli distribution, in recognition of the great Swiss mathematician James Bernoulli (1654-1705), eldest of eight Bernoullis that distinguished themselves in mathematics, who first investigated it in detail in his Ars Conjectandi, published posthumously in Basle in 1713 under the editorship of his nephew Nicholas Bernoulli (1695- 1726). It is also called the point binomial, since a variable so distributed can assume only integer values from 0 to n, and in consequence the probabilities are concentrated at “points”. Scope of the Tables In table 1 the values of the individual terms p T q n T of the binomial expansion (qAp) n are tabulated to 7D, for p = .01(.01).50; q=l — p; 71=2(1)49; r=0(l)n— 1. In view of equation (1), these terms furnish values of the probability, Prob{s = 7'| n,p), of exactly r suc¬ cesses in n independent trials for 2<.50, can be read directly from table 2—see below. If the value of Prob{s = Hn,^} is desired for a value of p greater than 0.50, this may be read from table 1, for 2r|n,p}, of at least r successes in n independent trials, when the probability of success in any single trial, p, is 0.50 or less, for 2<7?<49 and l 0 |w, 2 >}, equals unity, of course, for all values of n and p, since q=\ — p. If the value of Prob{s>r|n,p} is desired for a value of p greater than 0.50, it may be read from table 2, for 2r\n,p} = ^j p s q n * = P '~ V ’ f ° r f = n ~ S ’ = 1— X) (Hf) P ,f q' n f > for p' =q and q'=p f=n—T+l\J/ (4) 1—Prob {j>n—r-\-\\n,p'} t which states simply that the probability of r or more “successes” is one minus the probability of r— 1 or fewer “successes,” which latter is in turn the same as the probability of n— (r— \)—n— r+1 or more “failures”. In other words, to obtain the probability of at least r “successes”, find the probability of at least n — r+1 “failures”, and subtract this from unity. The entries given in table 2 are accurate to 7D as tabulated, that is, are in error by no more than ±0.5 in the seventh decimal place, apart from such errors as may have entered in their preparation for publication. A minus ( —) or a comma (,) following an entry that ends in ia 5, or in a 5 followed by zero(s), signifies that the true value is less than or exceeds the tabular value, respectively. The entries given in table 1 were obtained by differencing the values tabulated in table 2, and may, therefore, be incorrect by one unit in the seventh decimal place. Method of Preparation These tables were prepared, with the aid of the identity 1 Z)( „ )p s q n s —(h - =I p (r,n-r+ 1), (5) ,=rV 7 I t r ~ l (i -ty~ T dt from Pearson’s Tables of the Incomplete Beta-Function [l], 2 where values of the incomplete beta-function ratio, I p (u, v), are tabulated to 7D for u and v equal to .5(.5)11 (1)50, u>v, ^ = .01(.01)1.00. 3 Since values of I p (u, v) are tabulated for u>v only, values of Prob{s>r|n,^} can be read directly from Pear- 1 Deming [2J notes that the result contained in this identity was first found by Thomas Bayes, Phil. Trans. Roy. Soc. (London) 53, 396 (1763), who used it as a means of evaluating the integral (in the numerator of the fraction) by summing terms of the binomial expansion; and that Laplace later, Thiorie analytique, p. 151 (1823), derived the same result with the opposite purpose, viz, to sum terms of the binomial expansion. 3 Figures in brackets indicate the literature references given on p. X. 3 Pearson’s notation is /*(p, q), so that in terms of (5) his “x” corresponds to our “p”, his “p” to our “r”; and his “q" to our “n— r+1”. Clearly the Identity (5) is, under these circumstances, a bit troublesome to use—and you simply must “mind your p’s and q’s” if you are to get anything like the right answer. VI son’s tables with the aid of (5) only when r>n— r-f- 1, that is, when r>(n-f l)/2. In view of (4), the right-hand side of (5) can, however, be evaluated from I p (r,n— r+l) = l — I X - v (n— r+l,r) (6) when r< (rc+1)/2. Hence, all of the entries in table 2 can be read directly from the appropriate columns of Pearson’s tables [1]. The procedure employed was as follows: By means of (5) and (6), values of the partial sums that comprise table 2 were obtained from Pearson’s tables [1] and punched into IBM cards, from which the differences that comprise the entries of table 1 were computed, punched, and printed by punched-card equipment. These differences were then scrutinized for indications of possible errors, and necessary corrections made. The cards were then rearranged and mimeograph stencils for tables 1 and 2 were cut by punched-card equipment. These operations were carried out by personnel of the Department of the Army and a mimeographed edition of the tables was produced, for limited distribution, just after the close of World War II. 4 Tables 1 and 2 of the present edition are photographic reproductions of the corresponding mimeo¬ graphed tables prepared by the Department of the Army, after deletion of columns of zeros and some rearrangement of the columns, to effect economies and conformity with the format of the Applied Mathe¬ matics Series. The details of preparing these tables for publication in their present form were handled by the Statistical Engineering Laboratory of the National Bureau of Standards. 5 In the course of rearranging the columns, a few errors were noted and corrected. Interpolation The character of the interpolation to be employed fcr int rpolating p-wise in these tables must be determined by the computer in the light of the accuracy required for the interpolated value and the behavior of (differences of) the tabulated function in the neighborhood concerned. The governing prin¬ ciple is that the effect of the neglected differences must be negligible in comparison with the working unit. Since the maximum effect of second differences, attained when interpolating midway between two values of the argument, is one-sixteenth of the double second difference (i. e., Ao+Ai). second differences may be neglected, and linear or two-point interpolation employed, when the double second difference is less than eight units in the decimal place to which accuracy is desired. Similarly, third differences less than about 60 may be neglected, and fourth differences are negligible when the double fourth difference (i. e., Ao' -t-A)') does not exceed 40 and so forth. 6 Persons who prefer to use Lagrangian interpolation, either to avoid the computation of differences or for other reasons may find the following rule helpful in connection with the present tables: If accuracy to 5D or less is desired, evaluate the interpolate by both 2-point and 4-point Lagrangian interpolation, and accept the higher-point interpolate as accurate, -provided the two interpolates differ by no more than a few units in the last decimal place to be retained. If 6 or 7D accuracy is desired, proceed in similar fashion using both 4-point and 6-point Lagrangian interpolation. This rule will generally yield the accuracy desired unless both p and r are near zero and n is near its upper limit. Alternatively, when more assurance regarding the accuracy attained is important, it may be preferable to use two odd-point Lagrangian interpolations of the same degree based on grids that are displaced by one interval of the argument, requiring the two interpolates to agree exactly in the last decimal place to be retained. A 4 Miss Betty Elsen, Miss Amy Norman, and Miss Bonnie Thomas of the Department of the Army are due grateful acknowledgment for the conscientious manner in which they performed the tedious and painstaking task of checking these tables at various stages in their preparation. 5 This assignment was carried out principally by Lola S. Doming and Celia S. Martin, to whom grateful acknowledgment is due for the courage with which they undertook the work and the resourcefulness and persistence of effort that made possible its completion within the brief period of time available. • The “differences” here considered are central diffei /-i fo fi / 2 An elementary and practical guide to interpolation, with convenient tables and formulas, is provided by the reprint [3] of selected pages from the Nautical Almanac for 1937. es, thus a; M a; yi VII concise table of 4-point Lagrangian interpolation coefficients to 5D is given (table XX) in [3]; fuller tables of Lagrangian coefficients for 3-, 4-, 6-, and 8-point interpolation are given in [4]; and a still more complete set of these coefficients for 3-point to 11-point interpolation is [5]. In connection with the application of the preceding rules it should be noted that the implied accuracy of the interpolated value may be illusory if the value of the argument, p, for which an interpolated value is sought is itself only approximate. Thus, if in some particular problem “p = 0.125” means p = 1/8 exactly, the foregoing rules apply; but, if “p = 0.125” means y? = 0.125 ±Ap, there is an uncertainty in the “corresponding” value of Prob {s = r|n,p}, or of Prob {s>r|a,/>}, resulting from the uncertainty, A p, in the value of p, that is unrelated to the accuracy of the tabular entries and that imposes a limit on the accuracy of the interpolation warranted. Accordingly, in such cases the implicit uncertainty in the value of an individual term, should be determined approximately from the expression: 7 8 iq(n i) (r i>_ 0r (n-l) the uncertainty in a jwrtial sum, from A [l?( as a guide to the accuracy of interpolation to be undertaken. In practice, however, it will usually be adequate to determine “on the spot” the difference, Ap) — f(p), of the tabulated function corresponding to the tabular interval of the argument, Ap=.01, and to use [/(p + .01)— f(p)]/.01 to 2 or 3 significant figures as a working approximation to the coefficient of A p on the right-hand side of the appropriate one of these expressions. Applications The following example illustrates the use of tables 1 and 2. Example. A sample of 10 items is taken at random from an infinite population containing 8 percent defective items. What is the probability that the sample contains (1) exactly two defectives, (2) at least two defectives, (3) not more than two defectives, (4) less than two defectives? Solutions. Since the sampling is “at random from an infinite population”, this may be taken to mean that the drawings are independent and that the probability is 0.08 of obtaining a defective item in any single drawing. For n,= 10 and p = 0.08, (1) Table 1 gives, in the column headed “w=10 r— 2” and the row for p=. 08, Prob{s = 2| 10,0.08} = .1478071, as required; (2) Table 2 gives, in the column headed “n= 10 r— 2” and the row for p=.08, Prob{s>2 110,0.08} = . 1878825, as required; (3) Table 2 gives, in the column headed “?< = 10 r=3” and the row for p=.08, Prob{s>3 110,0.08} = .0400754 so that Prob{s<2| 10,0.08}= 1-.0400754 = .9599246 s ; (4) Prob{s<2| 10,0.08} = l-Prob{s>2| 10,0.08} = !-.1878825 = .8121175. Other Tables Other tables of the binomial distribution known to personnel of the Statistical Engineering Labora¬ tory of the National Bureau of Standards are: (a) Ballistic Research Laboratory, Aberdeen Proving Ground, Maryland. Table of Prob(s=.01(.01).50; n=l(l)150; r=0(l)n; 7D. 7 It may be noted that the expression within the brackets on the right-hand side may be obtained from the difference of successive terms, i. e., those in (r—1) and r, corresponding to (n—1). 8 This figure may be verified by adding the entries for r=0,l,2 corresponding to n=10 and p=.08 given in table 1, thus .4343885+ .3777290+. 1478071=.9599246. VIII As the present volume went to press, it was learned that computations for this table, which is being computed ab initio, have just been completed. No part of this table has been published as yet. The custodian of this table is Col. Leslie E. Simon, Director of the Ballistic Research Laboratory. (b) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual terms—see equation (1)—and of cumulative terms in the form given by equation (7), for />=.01 (.01).50; 77=50(5)100; r=0(l)n; 6D. It is understood that this table is to be published shortly by D. Van Nostrand Co., Inc., New York. Mr. Harry G. Romig is the present custodian of this table. (c) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual terms as defined by equation (1), of cumulative sums as defined by equation (7), and of the complemen¬ tary sums as given by equation (2) with r replaced by r-\- 1, for p= .001 (.001).010(.005).10(.01).51, .60, .75, .90; ti= 1 (1)28; r=0(l)n; 6D. Mr. Harry G. Romig is the present custodian of this table. (d) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual terms—see equation (1)—and of cumulative terms in the form given by equation (7), for 77= 1/2, 1/3, 9 1/5, 1/10, 1/20; 77=1(1)100; r=0(l)n; 8D. 77=1/10; n= 105(5)200(10)500; t*=0(1)t7; 7D. 27=1/20; 71=101(1)121; 7-=0(l)n; 8D Mr. Roger I. Wilkinson is the present custodian of this table. (e) National Bureau of Standards. A table giving the cumulative sums in the form given by equa¬ tion (7), for 2 ? = .01(.01).10(.10).50; 77=5(1)10(5)30(10)50; r= 1 ( 1 ) 77 — 1; 6D. This table was computed ab initio by the Computation Laboratory (formerly, The Mathematical Tables Project) during World War II, as a project of the Applied Mathematics Panel, Office of Scientific Research and Development. (f) F. M. Durham, J. H. Gaddum, and J. E. Marchal, Reports on biological standards. IX. Toxicity tests for novarsenobenzene (neosalvarsan), Privy Council, (British) Medical Research Council, Special Report Series 218 (1929). Tables of the cumulative sums in the form given by equation (7), for 2 ?= .025(.025). 10(.05).90(.025).975; 77=5,10,15,20,30; r= 1 ( 1 ) 77 - 1; 4D. These brief tables are reproduced, as Appendix III, in J. H. Burn, Biological standardization (Oxford University Press, 1937). (g) Charles D. Ferris, Tables of binomial probabilities, Ballistic Research Laboratory (Aberdeen Proving Ground, Md.), Mem. Rep. No. 309 (1944). These tables give individual terms—see equa¬ tion (1)—and cumulative sums in the form given by equation (7), for p=.05, ,10(.01).25(.02 or .03).50; 71=60,75,90,100,150,200,250,300; 7 = 0 ( 1 ) 77 ; 3 or 4D. (h) B. L. Warwick, Probability tables for Mendelian ratios with small numbers, Texas Agric. Exp. Sta. Bui. 463 (1932). 8 Complete to n=84; currently being extended to n = 100. IX (i) Wisconsin Agricultural Experiment Station (Madison, Wisconsin). A table giving cumulative sums in the form given by equation (7), for p=.01(.01).50, 1/25G, 1/64, 1/16, 1/8, 3/16, 1/3, 7/16; »=1(1)25; r=0(l)n; 7D. The Station Biometrician is the custodian of this table. (j) Naval Gun Factory (Washington 25, D. C.). Naval Ordnance Laboratory Memorandum 9064 (1947). Table of individual terms—see equation (1), for p = .01, .05(.05).50; n = 3(l) 12,15,16,18,20,24,25,30,36,40,48,50,60,70,72,80,90,120,150; r=0(l)»; 4 D. Table of cumulative terms in form given by equation (7), for p = .01 , ,05(.05).50; n=3(l) 12,15,16,18,20,24,25,30,40,50,60; r=0(l)n; 4D. (k) Computing Service, University of Wisconsin (Madison, Wisconsin). A table of individual terms—see equation (1), for p=.5(.l).9, 1/3, 1/4, 1/5, 1/6:71=10(5)30(10)50 and 12, 16, 24; r=0(l)»; 4D. Professor K. J. Arnold is the custodian of this table. References [1J Karl Pearson (Editor), Tables of the incomplete beta-function (Biometrika Office, University College, London, 1934). [2] W. Edwards Deming, The gamma and beta functions (Graduate School, U. S. Dept. Agric., 1946). [3] Interpolation and allied tables. (Reprinted from the Nautical Almanac for 1937; His Majesty’s Stationery Office, London, 1936). [4] Truman Lee Kelley, The Kelley statistical tables (1st edition, The Macmillan Company, New York, 1938; 2d edition, Harvard University Press, Cambridge, 1948). [5] National Bureau of Standards, Tables of the Lagrangian interpolation coefficients (Columbia University Press, 1944). X Table 1 Individual Terms P =.oi(.on.5o q = l-p n = 2(1)49 r = 0(l)n — 1 1 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P Q p n= 2 r- 1 n® 2 r- 0 n- 3 r- 2 n= 3 r= 1 n= 3 r=0 n= 4 r= J P .01 .0198000 .9801000 .0002970 .0294030 .9702990 .0000040 .01 .02 .0592000 .9604000 .0011760 .0576240 .9411920 .0000313 .02 .03 .0582000 .9409000 .0026190 .0846810 .9126730 .0001048 • 03 .04 .0768000 .9216000 .0046080 .1105920 .8847360 .0002457 .04 .05 .0950000 .9025000 .0071250 .1353750 .8573750 .0004750 .05 .06 .1128000 .8836OOO .0101520 .1590480 .8305840 .0008121 .06 .07 .1302000 .8649000 .OI367I0 .1816290 .8043570 .0012760 .07 .08 .1472000 .8464000 .0176640 .2031360 .7786880 .0018841 .08 .09 .I638OOO .8281000 .0221130 .2235870 .7535710 .0026536 .09 .10 .1800000 .8100000 .0270000 .2430000 .7290000 .0016000 .10 .11 .1958000 .7921000 .0323070 .2613930 .7049690 .0047384 .11 .12 .2112000 .7744000 .0380160 .2787840 .6814720 .0060825 .12 .15 .2262000 .7569000 .0441090 .2951910 .6585030 .0076456 .13 .14 .2408000 .7396000 .0505680 .3106320 .6360560 .0094393 .14 .15 .2550000 .7225000 .0573750 .3251250 .6141250 .0114750 • 15 .16 .2688000 .7056OOO .0645120 .3386880 .5927040 .0137625 . 16 .17 .2822000 .6889000 .0719610 .3513390 .5717870 .0163112 .17 .18 .2952000 .6724000 .0797040 .3630960 .5513680 .0191289 . 18 .19 .3078000 .6561000 .0877230 .3739770 .5314410 .0222232 .19 .20 .3200000 .6400000 .0960000 .3840000 .5120000 .0256000 .20 .21 .3318000 .6241000 .1045170 .3931830 .4930390 .0292648 .21 .22 .3432000 .6084000 .1132560 .4015440 .4745520 .0332217 .22 • 23 .3542000 .5929000 .1221990 .4091010 .4565330 .0374744 .23 .24 .3648000 .5776000 .1313280 .4158720 .4389760 .0420249 .24 .25 .3750000 .5625000 .1406250 .4218750 .4218750 .0468750 • 25 .26 .3848000 .5476000 .1500720 .4271280 .4052240 .0520249 . 26 .27 .3942000 .5329000 .1596510 .4316490 .3890170 .0574744 • 27 .28 .4032000 .5184000 .1693440 .4354560 .3732480 .0632217 .28 .29 .4118000 .5041000 .1791350 .4385670 •3579110 .0692648 • 29 .30 .4200000 .4900000 .1890000 .4410000 .3430000 .0756000 .30 .51 .4278000 .4761000 .1989270 .4427730 .3285090 .0822232 • 31 .52 .4352000 .4624000 .2088960 .4439040 .'3144320 .0891289 • 32 .55 .4422000 .4489000 .2188890 .4444110 .3007630 .0963112 • 33 .54 .4488000 .4356000 .2288880 .4443120 .2874960 .1037625 • 34 • 55 .4550000 .4225000 .2388750 .4436250 .2746250 .1114749 • 35 • 56 .4608000 .4096000 .2488320 .4423680 .2621440 .1194393 • 36 .57 .4662000 .3969000 .2587410 .4405590 .2500470 .1276456 .58 .4712000 .3844000 .2685840 . 4382160 .2383280 .1360825 .38 • 59 .4758000 .3721000 .2783430 .4353570 .2269810 .1447384 .40 .4800000 .36OOOOO .2880000 .4320000 .2160000 .1536000 .40 • 4 Jl .4838000 .3481000 .2975370 .4281630 .2053790 .1626536 .41 .42 .4872000 .3364000 .3069360 .4238640 .1951120 .1718841 .42 la -v .4902000 .3249000 .3161790 .4191210 .1851930 .1812760 .43 la It .44 .4928000 .3136000 .3252480 .4139520 .1756160 .1908121 .44 • ^5 .4950000 .3025000 .3341250 .4083750 .1663750 .2004750 •45 1. ^ . 46 .4968000 .2916000 .3427920 .4024080 .1574640 .2102457 .46 .47 1 . Ci .4982000 .2809000 .3512310 .3960690 .1488770 .2201048 .47 1, Q .48 .4992000 .2704000 .3594240 .3893760 .1406080 .2300313 . 4o .^9 .4998000 .2601000 .3673530 .3823470 .1326510 .2400040 • 49 • 50 .5000000 .2500000 .3750000 .3750000 .1250000 .2500000 • 50 2 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n- 4 r= 2 n- 4 r= 1 n~ 4 r* 0 n= 5 r= 4 n- 5 r= 3 n= 5 r= 2 P .01 .0005880 .0388120 .9605960 .0000000 .0000099 .0009702 .01 .02 .0023050 .0752953 .9223682 .0000008 .0000768 .0037648 .02 .03 .0050808 .1095208 .8852928 .0000040 .0002540 .0082141 .03 .04 .0088474 .1415577 .8493466 .0000123 .0005898 .0141558 .04 .05 .0135376 . .1714750 .8145062 .0000297 .0011281 .0214344 .05 .06 .0190858 .1993401 .7807490 .0000609 .0019086 .0299010 .06 .07 .0254280 .2252200 .7480520 .0001116 .0029666 .0394135 .07 .08 .0325018 .2491801 .7163930 .0001884 .0043336 .0498360 .08 .09 .0402456 .2712856 .6857496 .0002985 .0060369 .0610392 .09 .10 .0486000 .2916000 .6561000 .0004500 .0081000 .0729000 .10 .11 .0575064 .3101864 .6274224 .0006515 .0105429 .0853012 .11 .12 .0669082 .3271065 .5996954 .0009124 .0133816 .0981320 .12 .13 .0767496 .3424216 .5728976 .0012424 .0166291 .1112870 .13 .14 .0869770 .3561913 .5470082 .0016519 .0202946 .1246670 .14 .13 .0975376 .3684750 .5220062 .0021516 .0243844 .1381781 .15 .16 .1083802 .3793305 .4978714 .0027525 .0.289013 .1517323 .16 .17 .1194552 .3888152 .4745832 .0034661 .0338457 .1652464 .17 .18 .1307146 .3969849 .4521218 .0043040 .0392143 .1786433 .18 .19 .1421112 .4038952 .4304672 .0052780 .0450019 .1918502 .19 .20 .1536000 .4096000 .4096000 .0064000 .0512000 .2048000 .20 .21 .1651368 .4141528 .3895008 .0076820 .0577979 .2174302 .21 .22 .1766794 .4176057 .3701506 .0091359 .0647825 .2296831 .22 .23 .1881864 .4200104 .3515304 .0107739 .0721382 .2415059 *23 .24 .1996186 .4214169 .3336218 .0126075 .0798474 .2528502 .24 • 25 .2109376 .4218750 .3164062 .0146484 .0878906 .2636719 .25 .26 .2221066 .4214329 .2998658 .0169081 .0962462 .2739314 ,26 .27 .2330904 .4201384 .2839824 .0193976 .1048907 .2835934 .27 .28 .2438554 .4180377 .2687386 .0221277 .1137991 .2926265 .28 .29 .2543688 .4151768 .2541168 .0251085 .1229449 .3010032 .29 .30 ..2646000 .4116000 .2401000 .0283500 .1323000 .3087000 .30 .31 ..2745192 .4073512 .2266712 .0318615 .1418349 .3156972 .31 .32 .2840986 .4024729 .2138138 .0356516 .1515193 .3219783 .32 .33 .2933112 .3970072 .2015112 .0397284 .1613212 .3275309 .33 .34 .3021322 .3909945 .1897474 .0440991 .1712083 .3323453 .34 .35 .3105376 .384*1750 .1785062 .0487703 .1811469 .3364156 • 35 • 36 .3185050 .3774873 .1677722 .0537477 .1911030 .3397386 .36 •37 .3260136 .3700696 .1575296 .0590361 .2010417 .3423144 •37 .38 .3330442 .3622585 .1477634 .0646392 .2109280 .3441456 .38 .39 .3395784 .3540904 .1384584 .0705600 .2207260 .3452381 •? 9 .40 .3456OOO .3456OOO .1296000 .0768000 .2304000 .3456000 .40 .41 .3510936 .3368216 .1211736 .0833600 .2399140 .3452421 .41 .42 .3560458 .3277881 .1131650 .0902392 .2492320 .3441776 .42 •J? .3604440 .3185320 .1055600 .0974359 .2583182 .3424219 .43 .44 .3642778 .3090841 .0983450 .1049467 .2671370 .3399926 .44 .45 .3675376 .2994749 .0915063 .1127672 .2756531 .3369094 • 45 .46 .3702154 .2897337 .0850306 .1208913 .2838318 •5521958 .46 .47 .3723048 .2798888 .0789048 .1293115 .2916389 .3288692 .47 .48 .3738010 .2699673 .0731162 .1380188 .2990408 .3239608 .48 .49 .3747000 .2599960 .0676520 .1470025 .3060050 .3184951 .49 • 50 .3750000 .2500000 .0625000 .1562500 .3125000 .3125OOO • 50 3 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n= 5 r- 1 n= 5 r- 0 n= 6 r= 5 .01 .0480299 .9509900 .0000000 .02 .0922368 .9039208 .0000000 .03 .1327939 .8587340 .0000001 .04 .1698693 .8I53727 .0000006 .05 .2036266 .7737809 .0000018 .06 .2342247 .7339040 .0000044 .07 .2618182 .6956884 .0000094 .08 .2865572 .6590815 .0000181 .09 .3085874 .6240321 .0000323 .10 .3280500 .5904900 .0000640 .11 .3450824 .5584059 .0000860 .12 .3598172 .5277319 .0001314 .13 .3723835 .4984209 .0001938 .14 .3829057 .4704270 .0002775 .15 .3915047 .4437053 .0003873 .16 .3982971 .4182119 .0005285 .17 .4033957 .3939041 .0007071 .18 .4069096 .3707398 .0009297 .19 .4089439 .3486784 .0012034 .20 .4096000 .3276800 .0015360 .21 .4089759 .3077056 .0019358 .22 .4071657 .2887174 .0024119 .23 .4042600 .2706784 .0029736 .24 .4003461 .2535525 .0036310 .25 .3955078 .2373047 .0043946 .26 .3898255 .2219007 .0052753 .27 .3833762 .2073072 .0062848 .28 .3762339 .1934918 .0074349 .29 .3684694 .1804229 .0087378 .30 .3601500 .1680700 .0102060 .31 .3513404 .1564031 .OH8525 .32 .3421020 .1453934 .0136903 .33 •3324935 .1350125 .0157324 .34 .3225705 .1252353 .0179924 • 35 .3123859 .1160291 .0204835 .36 .3019899 .1073742 .0232190 .2914297 .0992437 .0262120 ,38 .2807504 .0916133 .0294755 .39 .2699939 .0844596 .0330221 . 40 .2592000 .0777600 .0368640 . **1 .2484059 .0714924 .0410131 . 42 | t -» .2376464 .0656357 .0454806 .43 la 1. .2269540 .0601692 .0502769 . 44 .2163589 .0550732 .0554119 .45 ii r .2058891 .0503284 .0608942 . 46 .1955703 .0459165 .0667320 .47 1 . O .1854264 .0418195 .0729317 .48 .1754788 .0380204 .0794988 .49 .1657474 .0345025 .0864374 • 30 .1562500 .0312500 .0937500 n- 6 r- .OOOOOOl .0000023 .0000115 .0000354 .0000846 .0001718 .0003115 .0005200 .0008149 .0012150 .0017395 .0024087 .0032427 .0042619 .0054865 .0069363 .0086307 .0105879 .0128256 .0153600 .0182064 .0213782 .0248877 .0287450 .0329590 .0375361 .0424808 .0477956 .0534810 .0595350 .0659532 .0727292 .0798540 .0873162 .0951021 .1031956 .1115782 .120^290 .1291247 .1382400 .1475471 .1570162 .1666152 ..1763104 .1860659 .1958439 .2056054 .2153094 .2249137 .2343750 .0000195 .0001506 .0004928 .0011324 .0021434 .0035881 .0055179 .0079737 .0109871 .0145800 .0187663 .0235516 .0289346 .0349068 .0414534 .0485543 .0561838 .0643115 .0729030 .0819200 .0913207 .1010606 .1110927 .1213681 .1318359 .1424443 .1531404 .1638708 .1745819 .1852200 .1957323 .2060661 .2161704 .2259949 .2354909 .2446118 .2533126 .2615506 .2692857 .2764800 .2830985 .2891091 .2944828 .2991935 .3032184 .3065383 .3091371 .3110024 .3121252 .3125000 .0014408 .0055342 .0119515 .0203844 ..03054*10 .0421605 .0549818 .0687738 .0833186 .0984150 .1138772 .1295342 .1452296 .1608204 .1761771 .1911826 .2057318 .2197312 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .2330980 .2457600 .2576547 .2687293 .2789394 .2882492 .2966309 .3040639 .3105348 .3160366 .3205683 .3241350 .3267465 .3284180 .3291685 .3290219 .3280053 .3261491 .3234871 .3200555 .3158929 .3110400 .3055393 .2994345 .2927707 .2855937 .2779503 .2698870 .2614511 .2526894 .2436487 .2343750 .19 .20 .21 .22 .23 .24 .25 ,26 .29 • 30 -31 .32 ,33 .34 .35 • 36 •37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 • 50 4 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n= 6 r= 1 n- 6 r= 0 n* 7 r= 6 n= 7 r= 5 n= 7 r= 4 n* 7 r-3 P .01 .0570 595 .9414801 .0000000 .0000000 .0000003 .0000337 .01 .02 .1084705 .885842^ .0000000 .0000001 .0000052 .0002583 .02 .03 .1545721 .8329720 .0000000 .0000005 .0000259 .OOO8366 .03 .04 .1956894 .7827578 .0000000 .0000020 ,0000793 .0019025 .04 .05 .2321343 .7350919 .0000001 .0000059 .0001876 .0035634 .05 .06 .2642054 .6898698 .0000003 .0000144 .0003768 .0059025 .06 .07 .2921891 .6469902 .0000008 .0000305 .0006759 .0089804 .07 . 08 .3163591 .6063550 .0000017 .0000583 .0011163 .0.128377 .08 .09 .3369773 .5678693 .0000034 .0001027 .0017305 .0174969 .09 .10 .3542940 .3314410 .0000063 .0001701 .0025515 .6229635 .10 .11 .3685479 .4969813 .0000110 .0002679 .0036125 .0292285 .11 .12 .3799670 .4644041 .0000184 .0004046 .0049459 .0362695 .12 .13 .3887683 .4336262 .0000294 .0005902 .0065826 .0440530 .15 .14 .3951587 .4045672 •0000453 .0008353 .0085522 .0525346 .14 .15 •3993348 .3771495 .0000678 .0011521 .0108816 .0616620 .15 .16 .4014835 .3512980 .0000986 .OOI5538 .0135952 .0713748 .16 .17 .4017821 .3269404 .0001402 .0020541 .0167147 .0816070 .17 .18 .4003990 .3040067 .0001953 .0026681 .0202581 .0922871 .18 .19 .3974935 .2824295 .0002668 .0034116 .0242403 .1033401 .19 .20 .3932160 .2621440 .0003584 .0043008 .0286720 .1146880 .20 .21 .3877091 .2430875 .0004743 .0053527 .0335603 .1262509 .21 .22 .3811070 .2251996 .0006191 .0065845 . 0389083 .1379477 .22 .23 .3735362 .2084224 .0007980 .0080138 .0447148 .1496975 *23 .24 .3651157 .1926999 .0010166 .0096584 .0509746 .1614195 .24 .25 .3559570 .1779785 .0012818 .0115356 .0576782 .1730347 .25 .26 .3461650 .1642065 .0016002 .0136631 .0648122 .1844654 ,26 .27 .•3358376 .1513342 .0019797 .0160577 .0723589 .1956369 .27 .28 .3250661 .1393141 .0024288 .0187359 .0802966 .2064773 .28 .29 .3139359 .1281003 .0029563 .0217133 .0886003 .2169179 .29 • 30 .3025260 .1176490 .0035721 .0250047 .0972405 .2268945 .30 .31 .2909098 .1079182 .0042867 .0286237 .1061847 .2363467 .31 • 32 .2791552 .0988675 .0051110 .0325827 .1153971 .2452187 .52 • 33 .2673248 .0904584 .0060570 .0368925 .1248384 .2534598 • 33 • 34 .2554758 .0826540 .0071370 .0415625 .1344670 .2610240 .34 .35 .2436610 .0754189 .0083641 .0466000 .1442382 .2678710 • 35 • 36 .2319282 .0687195 .0097520 .0520106 .1541055 .2739652 .36 • 37 .2203209 .0625235 .0113149 .0577975 .1640199 .2792771 .38 .2088783 .0568002 .0130674 .0639618 .1739312 .2837825 .38 .39 .1976355 .0515204 .0150250 .0705021 .1837875 .2874625 .39 .40 .1866240 .0466560 .0172032 .0774144 .1935360 .2903040 .40 .41 .1758714 .0421805 .0196180 .0846920 .2031232 .2922992 .41 .42 li«. .1654019 .0380687 .0222855 .0923255 .2124952 .2934458 .42 .43 .1552366 .0342964 .0252222 .1003024 .2215983 .2937466 . 43 li )i . 44 .1453932 .0308410 .0284447 .1086073 .2303789 .2932096 .44 • 45 .1358868 .0276806 .0319695 .1172215 .2387845 .2918477 • 45 .46 .1267296 .0247949 .0358128 .1261235 .2467634 .2896787 . 46 .47 i. 0 .1179311 .0221644 .0399909 .1352883 .2542653 .2867247 .47 1. Q .48 .1094988 .0197706 .0445193 .1446879 .2612420 .2830122 . 4o .49 .101437.4 .0175963 .0494134 .1542908 .2676473 .2785717 • 49 • 50 .0937500 .0156250 .0546875 .1640625 .2734375 .2734375 • 50 5 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r <1 p n= 7 r= 2 n= J r - 1 n= 7 r= 0 n= 8 r= 7 n= 8 r= 6 3 11 00 >s 11 P .01 .0019970 .0659037 .9320653 .0000000 .0000000 .0000000 .01 .02 .0075929 .1240180 .8681255 .0000000 .0000000 .0000002 .02 .03 .0162300 .1749242 .8079828 .0000000 .0000000 .0000013 .03 .04 .0273965 .2191722 .7514475 .0000000 .0000001 .0000051 .04 .05 .0406235 .2572822 .6983373 .0000000 .0000004 .0000150 .05 .06 .0554831 .2897453 .6484776 .0000000 .0000012 .0000361 .06 .07 .0715863 .3170252 .6017009 .0000001 .0000028 .0000757 .07 .08 .0885806 .3395588 .5578466 .0000002 .0000062 .0001429 .08 .09 .1061479 .3577576 .5167610 .0000004 .0000123 .0002492 .09 .10 .1240029 .3720087 .4782969 .0000007 .0000227 .0004082 .10 .11 .1418910 .3826756 . 44&3133 .0000014 .0000393 .0006358 .11 .12 .1595862 .3900994 .4086756 .0000026 .0000647 .0009496 .12 .13 .1768896 .3945998 .3772548 .0000043 .0001023 .0013692 .13 .14 .1936278 .3964759 .3479278 .0000073 .0001559 .0019157 .14 .15 .2096507 .3960070 .3205771 .0000116 .0002304 .0026116 .15 as .2248308 .3934538 .2950903 .0000181 .0003314 .0034804 .16 .17 ! .2390603 .3890591 .2713605 .0000272 .0004656 .0045464 .17 .18 .2522514 .3830484 .2492855 .0000402 .0006403 .0058344 .18 .19 .2643331 .3756313 .2287679 .0000579 .0008643 .0073690 .19 .20 .2752512 .3670016 .2097152 .0000819 .0011469 .0091750 .20 .21 .2849662 .3573385 .1920391 .0001138 .0014988 .0112762 .21 .22 .2934524 .'3468074 .1756557 .0001556 .0019315 .0136957 .22 .23 .3006966 .3355601 .1604852 .0002098 .0024575 .0164551 .23 .24 .3066972 .3237359 .•1464519 .0002789 .0030906 .0195743 .24 .25 .3114624 .3114624 .1334839 .0003662 .0038452 .0230713 .25 .26 .3150102 .2988558 .1215128 .0004755 .0047365 .0269619 ,26 .27 .3173665 .2860217 .1104740 .0006109 .0057808 .0312590 .27 .28 .3185648 .2730556 .1003061 .0007772 .0069947 .0359729 .28 .29 .31864^9 .2600436 .0909512 .0009798 .0083958 .0411106 .29 • 30 .3176523 .2470629 .0823543 .0012247 .OI06619 .0466754 .30 .31 .3156372 ■.2341824 .0744635 .0015187 .0118311 .0526676 .32 .3126539 .2214631 .0672299 .0018691 .0139620 .0590833 .32 .33 .3087601 .2089589 .0606071 .0022644 .OI62327 .0659147 .33 .34 .3040163 .1967164 .0545516 .0027732 .0188417 .0731500 .34 .35 .2984847 .1847763 .0490223 .0033456 .0217467 .0807734 • 35 • 36 .2922296 .1731730 .0439805 .0040123 .0249650 .0887648 • 36 .37 .2853156 .1619359 .0393898 .0047846 .0285134 .0970998 'Zb .38 .2778081 .1510887 .0352161 .0056750 .0324073 .1057502 .38 .39 .2697725 .1406507 .0314274 .0066969 .6366611 .1146834 .39 .40 .2612736 .1306368 .0279936 .0078643 .0412877 .1238630 .40 • 41 .2523755 .1210581 .0248865 .0091924 .0462983 .1332488 .41 .42 .2431408 .1119220 .0220798 .0106970 .0517023 .1427968 .42 .43 .2336310 .1032323 .0195490 .0123949 .0575068 .1524596 .43 .44 .2239055 .0949903 .0172709 .0143037 .0637162 .1621868 .44 i45 .2140217 .0871940 .0152244 .0164415 .0703329 .1719248 .45 .46 .2040345 .0798396 .0133893 .0188273 .0773557 .1816178 . 46 .47 .1939967 .0729208 .0117471 .021.4808 .0847807 .1912075 .47 .48 .1839579 .0664293 .0102807 .0244221 .0926002 .2006339 .48 .49 .1739652 .0603553 .0089741 .0276715 .1608033 .2098355 .49 .50 .1640625 .0546875 .0078125 .0312500 .1093750 .2187500 .50 6 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p I n= 8 r- 4 n- 8 r= 3 n= 8 r= 2 n- 8 r= 1 n= 8 r= 0 n= 9 r- 8 P .01 .0000007 .0000532 .0026362 .0745652 .9227447 .0000000 .61 .02 .0000103 .0004050 .0099214 .1389001 .8507630 .0000000 .02 .03 .0000502 .0012984 .0209909 .1939158 .7837434 .0000000 .03 .04 .0001522 .0029223 .0350675 .2404632 .7213896 .0000000 .04 .05 .0003564 .0054164 .0514565 .2793349 .6634204 .0000000 .05 .06 .0007083 .0086873 .0695389 .3112693 .6095689 .0000000 .06 .07 .0012573 .0133628 .0887670 .3369525 .5595818 .0000000 .07 .08 .0020540 .0188972 .1086588 .3570218 .5132189 .0060000 .08 .09 .0031494 .0254755 .1287927 .3720680 .4702525 .0000000 .09 .10 .0045928 .0330674 .1488035 .3826375 .4304672 .0000001 .10 .11 .0064303 .0416213 .1683773 .3892357 .3936589 .0060002 .11 .12 .0087047 .0510676 .1872477 .3923286 .3596345 .0000003 .12 .15 .0114538 .0613217 .20,51919 .3923450 .3282117 .0000006 .13 .14 .0147097 .0722877 .2220265 .3896792 .2992179 .0000012 .14 .15 .0184986 .0838603 .2376042 .3846925 .2724905 .0600020 .15 .16 .0228400 .0959277 .2518105 .3777156 .2478759 .0000032 .16 .17 .0277464 .1083740 .2645602 .3690503 .2252292 .0000052 .17 .18 .0332233 .1210807 .2757948 .3589711 .2044141 .0600081 .18 .19 .0392693 .1339288 .2854797 .3477273 .1853020 .0000124 .19 .20 .0458752 .1468006 .2936013 .33554*13 .1677722 .0000184 .26 .21 .0530254 .1595811 .3001643 .3226257 .1517109 .0000269 .21 .22 .0606970 .1721588 .3051905 .3091540 .1370114 .0000385 .22 .23 .0688608 .1844273 .3087152 .2952929 .1235736 .0000543 ,23 .24 .0774814 .1962861 .3107865 .2811877 .1113035 .0000753 .24 .25 .0865173 .2076416 .3114624 .2669678 .1001129 .0001030 .25 .26 .0959220 .2184071 .3108100 .2527466 .0899195 .0001391 ,26 .27 .1056440 .2285039 .3089034 .2386238 .0806460 .0001856 .27 .28 .1156273 .2378617 .3058223 .2246857 .0722204 .0002448 .28 .29 .1258124 .2464187 .3016506 .2110067 .0645754 .0003197 .29 .50 .1361368 .2541218 .2964755 .1976503 .0576480 .0004133 .30 .51 .1465350 .2609267 .2903862 .1846696 .0513798 .0005297 • 31 .52 .1569399 .2667980 .2,834729 .1721085 .0457163 .0006729 .32 .55 .I672834 .2717089 .2758257 .1600028 .0406068 .0008481 • 33 .54 .1774964 .2756414 .2675343 .1483803 .0360041 .0010608 .34 .55 .1875097 .2785857 .2586868 .1372624 .0318645 .0013174 .35 • 56 .1972549 .2805404 .2493693 .1266637 .0281475 .0016249 .36 .57 .2066651 .2815114 .2396651 .1165938 .0248156 .0019915 'll .38 .2156747 .2815122 .2296547 .1070571 .0218340 .0024261 .38 .59 .2242207 .2805634 .2194150 .0980536 .0191707 .0029383 .39 .40 .2322432 .2786918 .2090189 .0895795 .0167962 .0035390 .40 .41 .2396854 .2759305 .1985353 .0816278 .0146830 .0042400 .41 .42 .2464944 .2723177 .1880289 .0741883 .0128063 .0050543 .42 * 4.3 .2526221 .2678968 .1775596 .0672485 .0111429 .0059960 . 43 .44 .2580244 .2627158 .1671828 .0607938 .0096717 .0070803 .44 .45 .2626630 .2568260 .1569492 .0548077 .0083734 .0083235 .45 I. £ .46 .2665045 .2502824 .1469049 .0492724 .0072302 .0097431 . 46 .47 .2695212 .2431426 .1370910 .0441691 .0062260 .0113580 .47 J, Q .48 .2716917 .2354661 .1275442 .0394779 .0053460 .OI 3 I 879 . 4o .49 .2730003 .2273145 .1182963 .0351785 .0045768 .0152539 .49 . 50 .2734376 .2187500 .1093750 .0312500 .0039062 .0175781 • 30 832939 0 - 50 -2 7 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n= 9 r- 7 n= 9 r» 6 n= 9 r- 5 n= 9 r= 4 n- 9 r= 3 n= 9 r= 2 P .01 .0000000 .0000000 .O0OOOOO .0000012 .0000791 .0033554 .01 .02 .0000000 .0000000 .0000004 .0000182 .0005953 .0125010 .02 .03 .0000000 .0000001 .0000027 .0000876 .0018892 .0261786 • 03 .04 .0000000 .0000003 .0000110 .0002630 .0042081 .0432834 .04 .05 .0000000 .0000012 .0000320 .0006094 .0077184 .0628504 .05 .06 .0000001 .0000032 .0000765 .0011985 .0125170 .0840427 .06 .07 .0000003 .0000079 .0001584 .0021047 .0186410 .1061401 .07 .08 .0000007 .0000171 .0002958 .0034015 .0260781 .1285278 .08 .09 .0000015 .0000336 .0005102 .0051588 .0347740 .1506876 .09 .10 .0000029 .0000612 .0008267 .0074402 .0446410 .1721869 .10 .11 .0000055 .0001049 .0012732 .0103013 .0555645 .1926717 .11 .12 .0000100 .0001710 .0018802 .0137882 .0674092 .2118574 .12 .13 .0000171 .0002670 .0026802 .0179366 .0800249 .2295218 .13 .14 .0000280 .0004023 .0037069 .0227706 .0932511 .2454979 .14 .15 .0000444 .0005876 .0049947 .0283028 .1069219 .2596674 .15 .15 .0000682 .OOO8353 .0065779 .03453^0 .1208690 .2719553 .16 .17 .0001018 .0011593 .0084904 .0414531 ,1349257 .2823234 .17 . 18 .0001482 .0015753 .0107644 .0490376 .1489293 .2907665 .18 .19 .0002111 .0021002 .0134301 .0572545 .1627235 .2973068 .19 .20 .0002950 .0027525 .0165150 .0660603 .1761608 .3019899 .20 .21 .0004046 .0035521 .0200436 .0754020 .1891036 .3048812 .21 .22 .0005464 .0045195 .0240361 .0852185 .2014258 .3060624 .22 .23 .0007267 .0056770 .0285084 ,0954411 .2130135 .3056281 *23 .24 .0009537 .0070468 .0334719 .1059945 .2237663 .3036827 .24 *23 .0012360 .0086517 .0389328 .1167984 ,2335968 .3003388 .25 . 26 .0015834 .0105151 .0448915 .1277681 .2424319 .2957135 ,26 .27 .0020067 .0126599 .0513430 .I388I6I .2502118 .2899279 .27 .28 .0025181 .0151086 .0582762 .1498529 .2568906 .2831041 .28 .29 .0031304 .0178831 .0656741 .1607882 .2624360 .2753638 .29 .30 .0038579 .0210039 .0735139 .1715322 .2668279 .2668280 • 30 .0047155 .0244905 .0817665 .1819964 .2700591 .2576141 • 51 .32 .0057196 .0283600 .0903975 .1920945 .2721339 ,2478363 .32 .33 .0068873 .0326278 .0993663 .2017439 .2730674 .2376042 .33 .34 .0082365 .0373065 .1086278 .2108656 .2728850 .2270220 .34 .35 .OO9786O .0424060 .1181311 .2193863 .2716211 .2161883 .35 • 36 .0115553 .0479329 .1278213 .2272377 .2693188 .2051952 .36 • 37 O .0135643 .0538904 .1376389 .2343582 .2660283 .1941287 •37 ,38 .0158333 .0602776 .1475215 .2406929 .2618064 .1830676 .38 .39 .0183829 .0670898 .1574030 .2461943 .2567156 .1720840 .39 . 40 .0212337 .0743178 .1672151 .2508226 .2508227 .1612431 .40 .0244058 .0819480 .1768878 .2545459 .2441984 .1506033 .41 . 42 .0279193 .0899619 .1863498 .2573403 .2369164 .1402158 .42 • 43 )t Ji .0317930 .0983365 .1955295 .2591902 .2290519 .1301258 .43 . 44 .0360452 .1070433 .2043554 .2600886 .2206813 .1203716 .44 •45 1 . c .0406926 .1160492 .2127571 .2600363 .2118815 .1109855 .45 . 4o ,0457504 .1253163 .2206657 .2590423 .2027287 .1019940 .46 .4/ h O .0512318 ,1348013 .2280149 .2571232 .1932984 .0934-177 .47 . 40 .0571476 .1444564 .2347416 .2543034 .1836636 .0852724 .48 .49 .0635061 .1542291 .2407862 .2506143 .1738956 .0775686 .49 . 50 .0703125 .1640625 .2460938 .2460938 .1640625 .0703125 .50 8 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n= 9 r= i n= 9 r- 0 n=10 r = 9 n-10 r= 0 n=10 r= 7 n=10 r= 6 P .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 • 50 .51 .52 .55 .54 .55 • 56 .57 .58 .59 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 .0830471 .1531373 .2116107 .2597002 .2985392 .3291672 .3525365 •3695176 .3809045 .3874205 .3897223 .3884053 .3840076 .3770146 .3678623 .3569413 .34^6007 .3311508 .3I68665 .3019899 .$867336 .2712827 .2557974 .2404156 .2252540 .2104116 .1959698 .1819954 .1685417 .1556496 .1433497 .1316630 .1206021 .1101724 .1003731 .0911979 .0826359 .0746723 .0672893 .0604662 .0541804 .0484078 .0431230 .0383000 .0339122 .0299330 .0263358 .0230946 .0201836 .0175781 .9135172 .8337478 .7602311 .6925340 .6302494 .5729948 .5204111 .4721614 .4279298 .3874205 .3503564 .3164784 .2855442 .2573274 .2316169 .2082157 .1869403 .1676196 .1500946 .1342177 .1198516 .1068689 .0951517 .0845906 .0750847 .0665404 .0588716 .0519987 .0458485 .0403536 .0354521 .0310871 .0272065 .0237627 .0207119 .0180144 .0156338 .0135371 .0116941 .0100777 .0086630 .0074277 .0063515 .0054162 .0046054 .0039043 .0032998 .0027799 .0023342 .0019531 .0000000 .0000000 .Q00000C .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .0000003 .0000006 .0000010 .0000017 .0000026 .0000041 .0000062 .0000094 .0000139 .0000201 .0000286 .0000402 .0000556 .0000761 .0001030 .0001378 .0001824 .0002392 .0003110 .0004008 .0005123 .0006499 .0008187 .0010243 .0012732 .0015728 .0019316 .0023587 .0028648 .0034615 .0041617 .0049798 .0059314 .0070335 .0083049 .0097656 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .0000004 .0000008 .0000015 .0000028 .0000049 .0000084 .0000136 .0000216 .0000333 .0000501 .0000737 .0001063 .0001502 .0002089 .0002861 .0003862 .0004946 .0006773 .0008814 .0011348 .0014467 .0018273 .0022879 .0028410 .0035005 .0042814 .0051999 .0062735 .0075208 .0089617 .0106169 .0125080 .0146576 .0170887 .0198248 .0228896 .0263065 .0300986 .0342885 .0388975 .0439453 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .0000008 .0000019 .0000043 .0000087 .0000165 .0000293 .0000496 .0000805 .0001259 .0001909 .0002816 .0004051 .0005701 .0007865 .0010656 .0014205 .0018653 .0024160 .0030899 .0039256 .0048831 .0060434 .0074087 .0090017 .0108458 .0129645 .0153816 .0181203 .0212030 .0246512 .0284849 .0327222 .0373786 .0424673 .0479981 .0539772 .0604067 .0672844 .0746031 .0823507 .0905095 .0990559 .1079604 .1171875 .0000000 .0000000 .0000001 .0000007 .0000027 .0000076 .0000185 .0000395 .0000765 .0001378 .0002334 .0003761 .0005807 .0008649 .0012486 .0017542 .0024056 .0032293 .0042528 .0055050 .0070152 .0088132 .0109282 .0133888 .0162220 .0194530 .0231043 .0271955 .0317425 .0367569 .0422460 .0482120 .0546516 .0615557 .0689098 .0766928 .0848774 .0934302 .1023119 .1114767 .1208733 .1304449 .1401295 .1498606 .1595678 .1691770 .1786117 .1877933 .1966421 .2050781 .01 .02 •03 .04 .05 .06 .07 .08 .09 .10 .11 .12 ' .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 .30 .51 .32 .33 .34 • 55 .36 .31 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 9 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n- r p n-10 r= 5 n=10 r- 4 n-10 r- 3 n-10 rs 2 n=10 r= 1 n=10 r= 0 P .01 .0000000 .0000020 .0001118 .0041524 .0913517 .9043821 .01 .02 .0000007 .0000298 .0008334 .0153137 .1667 496 .8170728 .02 .03 .0000053 .0001417 .0026179 .0317416 .2280693 .7374241 .03 .04 .0000211 .0004208 .0057711 .0519401 *2770136 .6648326 .04 .05 .0000609 .0009648 .0104751 .0746348 i3151247 .5987369 .05 .06 .0001438 .0018776 .OI68085 .0987502 .3437969 .5386151 .06 .07 .0002946 .0032622 .0247660 .1233878 .3642878 .4839823 • °T .08 .0005442 .0052156 .0342741 .1478071 .3777290 . 4343885 .08 .09 .0009286 .0078242 .0452062 .1714071 .3851368 .3894161 .09 .10 .0014880 .0111603 .0573956 .1937103 .3874205 .3486784 .10 .11 .0022663 .0152802 .0706463 .2143473 .3853920 .3118172 .11 .12 .0033092 .0202227 .0847430 .2330432 •3797740 .2785010 .12 .13 .0046635 .0260081 .0994594 .2496050 .3712074 .2^84234 .13 .14 .0063758 .0326379 .1145656 .2639102 .•3602584 .2213016 .14 .13 .0084909 .0400957 .1298337 .2758967 .3474254 .1968744 .15 .16 .0110508 .0483476 .1450428 .2855531 .•3331452 .1749012 .16 .17 .0140940 .0573434 .1599833 .2929107 .3177984 .1551604 .17 .18 .0176535 .0670182 .1744599 .2980358 .3017152 .1374480 .18 .19 . 0217568 .0772936 .1882943 .3010231 .2851798 .1215767 .19 .20 .0264241 .0880804 .2013266 .3019899 .2684354 .1073742 .20 .21 .0316689 .0992794 .2134168 .3010703 .2516883 .0946828 .21 .22 .0374961 .1107842 .2244458 .2984109 .2351116 .0833578 .22 .23 .0439029 .1224828 .2343149 .2941670 .2188489 .0732668 *23 .24 .0508774 .1342597 .2429462 .2884987 .2030175 .0642889 .24 .25 .0583992 .1459980 .2502823 .2815676 .1877117 .0563135 .25 .26 .0664394 .1575807 .2562851 .2735350 .1730051 .0492399 ,26 .27 .0749607 .1688930 .2609351 .2645593 .1589532 .0429763 .27 .28 .0839177 .1798234 .2642305 .2547936 .1455963 .0374391 .28 .29 .0932571 .1902661 .2661851 .2443854 .1329607 .0325524 .29 • 30 .1029193 .2001210 .2668279 .'2334745 .1210608 .0282475 .30 .31 .1128378 .2092958 .2662012 .2221921 .1099015 .024^619 Ol .32 .1229405 .2177072 .2643586 .2106609 ,0994787 .0211392 .32 .33 .1331509 .2252806 .2613646 .1989935 .0897815 .0182284 .33 .34 .1433887 .2319522 .2572916 .1872931 .0807931 .0156834 .34 .35 .1535704 .2376685 .2522196 .1756530 .0724917 .01346-27 .35 • 36 .I636l.ll .2423869 .2462343 .1641563 .0648518 .0115292 .36 .37 .1734251 .2460761 .2394254 .1528764 .0578451 .0098493 •31 .38 .1829267 .2487160 .2318857 .1418774 .0514409 .0083930 .38 • 39 .1920317 .2502976 .2237092 .1312141 .0456072 .0071334 .40 .2006581 .2508227 .2149908 .1209324 .0403108 .0060466 .40 .41 .2087276 .2503034 .2058245 .1110698 .0355183 .0051112 .41 .42 .2161657 .2487623 .1963021 .1016565 .0311962 .0043080 .42 .^3 .2229036 .2462307 .1865137 .0927146 .02731.13 .0036203 .43 .44 .2288780 .2427494 .1765450 .0842601 .0238311 .0030331 .44 .45 .2340327 .2383667 .1664782 .0763026 .0207241 .0025330 .45 . 46 .2383189 .2331581 .1563907 .0,688460 .0179598 .0021083 .46 .47 .2416958 .2271255 .1463545 .0618892 .0155089 .0017489 .47 .48 .2441312 .2203963 .1364359 .0554270 .0133435 .0014456 .48 .49 .2456019 .2130221 .1266954 .0494500 • w J- J J ^ J . 0114^74 .0011904 .49 . 30 .2460938 .2050781 .1171875 .0439453 .0097656 .0009766 i .50 10 BINOMIAL DISTRIBUTION Table 1 - Individual Terms ,n v r n-r l r )P q p n=ll r = 10 11=11 r= 9 n=ll r= 8 n=ll r= 7 n-11 r= 6 n=ll r= 5 P .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .15 .14 .15 .16 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 • 30 .31 .32 .33 .34 .35 • 36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ' .0000000 .0000000 .0000001 .0000001 .0000002 .0000003 .0000006 .0000009 .0000015 .0000022 .0000035 .0000053 .0000079 .0000115 .0000165 .0000235 .0000329 .0000454 .0000623 .0000842 .0001128 .0001499 .0001972 .0002574 .0003332 .0004281 .0005463 .0006921 .0008712 .0010898 .0013551 .0016753 .0020601 .0025198 .0030665 .0037138 .0044763 .0053711 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .0000005 .0000009 .0000015 .0000027 .0000045 .0000074 .0000116 .0000180 .0000272 .0000404 .0000587 .0000839 .0001180 .0001635 .0002235 .0003016 .0004022 .0005305 .0006923 .0008948 .0011459 .0014547 .0018315 .0022879 .0028370 .0034930 .0042717 .0051905 .0062679 .0075242 .0089810 .0106614 .0125893 .0147901 .0172901 .0201159 .0232953 .0268554 .0000000 .0000000 .0000000 .0000000 .0000600 .0000000 .0000001 .0000002 .0000006 .0000012 .0006025 .0000049 .0000088 .0000155 .0000260 .0000420 .0000658 .0001002 .0001489 .0002163 .0003077 .0004297 .0005899 .0007973 .0010622 .0013962 .0018128 .0023267 .0029542 .0037132 .0046230 .0057044 .0069794 .0084712 .0102039 .0122024 .0144917 .0170973 .0200443 .0233570 .0270589 .0311718 .0357155 .0407070 .0461666 .0520868 .0584917 .0653768 .0727383 .0805664 .0000000 .0000000 .0000000 .0000000 .0000002 .0000007 .0000020 .0000050 .0000108 .0000217 .0000:403 .0000709 .0001186 .0001902 .0002943 .0004410 .0006426 .OOO9I35 .0012698 .0017302 .0023151 .0030469 .0039498 .0050494 .0063729 .0079480 .0098029 .0119661 .0144655 .0173283 .0205798 .0242438 .0283407 .0328883. .0379004 .0433861 .0493501 .0557913 .0627026 .0700711 .0778770 .0860936 .0946875 .1036179 .1128372 .1222908 .1319175 .1416498 .1514144 .1611329 .QOOOOOO .0000060 .0000003 .0000016 .0000056 .0000159 .0000378 .0000798 .0001532 .00027-28 .0004-571 .0007280 .OOIIII5 .0016365 .0023350 .0032416 .0043927 .0058256 .0075786 .0096888 .0121925 .0151234 .0185124 ,0223861 .0267663 .0316694 .0371055 .0430777 .0495817 .0566056 .0641295 .0721251 .0805564 .0893790 .0985410 .1079834 .1176401 .1274389 .1373026 .1471493 .1568935 .1664477 .1757223 .1846283 .1930770 .2009823 .2082613 .2148356 .2206324 .2255859 .0000000 .0000013 .0000093 .0000370 .0001061 .0002478 .0005024 .0009180 .0015492 .0024553 .0036978 .OO53388 .0074383 .0100525 .0132315 .0170184 .021-4464 .0265392 .0323087 .038755^ .0458671 .0536196 .0619763 .0708891 .0802989 .0901362 .1003224 .1107712 .1213898 .1320798 .14273-9& .1532658 .1635537 .1735003 .1830048 .1919704 .20030.59 .2079266 .2147553 .2207239 .2257737 .2298563 .2329343 .2349814 .2359830 .2359357 .2348477 .2327385 .2296379 .2255859 .01 .02 •03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 *23 .24 .25 ,26 .27 .28 .29 .30 -31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 11 BINOMIAL DISTRIBUTION Table 1 - Individual Terms qD -r p n=ll r= 4 n=ll r- 3 n=ll r= 2 n-11 r= 1 n=ll r= 0 n=12 r=ll p .01 .0000031 .0001523 .0050243 .0994820 .89555.83 .0000000 .01 .02 .0000459 .0011230 .0183424 .1797560 .8007314 .0000000 .02 .03 .0002160 .0034916 .0376314 .2433500 .7153014 .0000000 .03 .04 .0006348 .0076179 .0609430 .2925264 .6382393 .0000000 .04 .05 .0014404 .OI3683O .0866593 .3293053 .5688001 .0000000 .05 .06 .0027734 .0217250 .1134530 .355^860 .5062982 .0000000 .06 .07 .0047675 .0316695 .1402508 .3726664 .4501035 .0000000 .07 .08 .0075403 .0433567 .1662008 .3822618 .3996374 .0000000 .08 .09 .OIII885 .0565643 .1906428 .3855219 .3543687 .0000000 .09 .10 .0157838 .0710271 .2130812 .3835463 .3138106 .0000000 .10 .11 .0213705 .0864534 .2331622 .3772988 .2775173 .0000000 .11 .12 .0279652 .1025390 .2506509 .3676212 .2450809 .0000000 .12 .13 .0355568 .1189784 .2654132 .3552455 .2161284 .0000000 .13 .14 .0441077 .1354740 .2773989 .3408044 .1903194 .0000000 .14 .15 .0535565 .1517431 .2866260 .3248428 .1673^32 .0000000 .15 .16 .0638188 .1675244 .2931678 .3078262 .1469170 .0000000 .16 .17 .0747922 .I8258IO .2971415 .2901500 .1287831 .0000000 .17 .18 .0863577 .1967036 .2986980 .2721471 .1127074 .0000001 . 18 .19 .0983838 .2097128 .2980129 .2540952 .0984771 .0000001 .19 .20 .1107296 .2214593 .2952790 .2362232 .0858993 .0000002 .20 .21 .1232482 .'2318241 .2907000 .2187172 .0747994 .0000003 .21 .22 .1357897 .2407181 .2844851 .'2017257 .0650191 .0000006 .22 .23 .1482041 .2480809 .2768438 JI85365I .0564154 .0000009 .23 .24 .1603445 .2538788 .2679832 .1697226 .0488596 .0000014 .24 • 25 .1720691 .2581036 .2581036 .1548622 .0422351 .0000021 .25 .26 .1832438 .2607701 .2473972 .1408262 .0364375 .0000033 . 26 .27 .1937444 .2619136 .2360456 .1276395 .0313727 .0000048 .27 .28 .2034575 .2615881 .2242184 .1153123 .0269561 .0000072 .28 .29 .2122826 .2598632 .2120722 .1038423 .0231122 .0000103 .29 • 30 .2201331 .2568218 .1997504 .0932168 .0197733 .0000149 .30 • 31 .2269365 .2525583 .1873820 .0834153 .OI68787 .0000210 • 31 .32 .2326356 .2471754 .1750825 .0744101 .0143747 .0000294 .32 .33 .2371883 .2407821 .1629536 .0661690 .0122130 .0000406 • 33 .34 .2405676 .2334921 .1510831 .0586558 .0103510 .0000556 • 34 • 35 .2427614 .2254212 .1395466 .0518315 .0087508 .0000753 • 35 • 36 .2437720 .2166862 .1284066 .0456557 .0073787 .0001011 • 36 .37 .2436154 .2074023 .1177148 .0400866 .0062051 .0001345 .38 .2423205 .1976825 .1075115 .0350827 .0052037 .0001775 .38 • 39 .2399282 .187636! .0978274 .0306024 .0043514 .0002324 • 39 .40 .2364899 .1773675 .0886837 .0266051 .0036280 .0003020 .40 • 4.1 .2320671 .1669750 .0800937 .0230514 .0030156 .0003896 . 41 .42 .2267290 .1565509 .0720632 .0199031 .0024987 .0004993 .42 .43 .2205524 .1461800 .0645912 .0171242 .0020636 .0006356 . 43 t. la .44 .2136195 .1359396 .0576714 .0146800 .0016985 .0008041 .44 .45 .2060169 .1258992 .0512923 .0125381 .0013931 .0010113 • 45 la S’ . 46 .1978343 .1161202 .0454383 .0106681 .OOH385 .0012644 . 46 .47 .1891631 .1066558 .0400905 .0090417 .0009269 .0015723 • 47 .48 .1800952 .0975516 .0352270 .0076325 .0007517 .0019446 . 4o A9 .1707220 .0888451 .0308238 .0064164 .0006071 .0023928 • 49 .50 .1611329 .0805664 .0268554 .0055711 .0004883 .0029297 • 50 12 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“' r p n=12 r=io n=12 r~ 9 n=12 r = 8 n-12 r = 7 n=12 v- 6 n=12 r= 5 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000022 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000006 .0000155 •03 .04 .0000000 .0000000 .0000000 .0000001 .0000030 .0000609 .04 .05 .0000000 .0000000 .0000000 .0000005 .0000106 .0001728 .05 .06 .0000000 .0000000 .0000001 .0000016 .0000297 ,0003994 .06 .07 .0000000 .0000000 .0000002 .0000046 .0000703 .0008009 .07 .08 .ooooooo .0000000 .0000006 .0000110 .0001468 .0014478 .08 .09 .0000000 .0000001 .0000014 .0000237 .0002788 .0024167 .09 .10 .0000000 .0000002 .0000032 .0000468 .0004910 .0037881 .10 .11 .0000000 .0000004 .0000066 .0000862 .0008135 .0056419 .11 .12 .0000000 .0000008 .0000128 .0001497 .0012813 .0080540 .12 .13 .0000001 .0000015 .0000231 .0002477 .00193^0 .0110937 .15 .14 .0000001 .0000029 .0000400 .0003927 .0028147 .0148203 .14 .15 .0000003 .0000052 .0000662 .0006004 .0039695 .0192803 .15 .16 .0000005 .0000090 .0001058 .0008892 .005^58 .0245065 .16 .17 .0000010 .0000149 .0001638 .0012802 .0072918 .0305152 .17 .18 .0000015 .0000241 .0002466 .0017977 .00955^1 .0373065 .18 .19 .0000027 .0000377 .0003619 .0024684 .0122774 .0448630 .19 .20 .0000043 .0000577 .0005190 .0033219 .0155022 .0531502 .20 .21 .0000069 .0000862 .0007292 .0043893 .0192642 .0621171 .21 .22 .0000106 .0001261 .0010054 .0057037 .0235926 .0716970 .22 .23 .0000162 .0001809 .0013627 .0072992 .0285090 .0818087 *23 .24 .0000242 .0002551 .0018178 .0092103 .0340268 .0923584 .24 .25 .0000354 .0003541 .0023898 .0114713 .0401494 .1032415 .25 .26 .0000510 .0004840 .0030997 .0141155 .0468708 .1143442 ,26 .27 .0000724 .0006527 .0039701 .0171746 .0541741 .1255463 .27 .28 .0001013 .0008687 .0050257 .0206773 .0620319 .1367234 .28 .29 .0001400 .0011423 .0062925 .0246492 .0704061 .1477487 .29 .30 .0001910 .0014853 .0077977 .0291114 .0792479 .1584958 .50 .31 .0002576 .0019108 .0095696 .0340803 .0884986 .1688408 -51 .32 .0003436 .0024338 .0116370 .0395658 .0980901 .1786644 .52 .33 .0004538 .0030709 .0140287 .0455718 .1079455 .1878532 ,55 • 34 .0005935 .0038403 .0167730 .0520952 .1179802 .1963031 • 54 .35 .0007692 .0047619 .0198977 .0591246 .1281033 .2039196 • 55 • 36 .0009884 .0058571 .0234286 .0666411 .1382187 .2106190 • 56 .37 .0012596 ,0071493 .0273893 .0746174 .1482264 .2163504 •37 .38 .0015928 ,0086626 .0318010 .0830173 .1580243 .2209963 .58 .39 .0019991 ,0104231 .0366810 .0917966 .1675092 .2245727 .59 .40 .0024914 .0124571 .0420426 .1009024 .1765791 .2270304 .40 .41 .0030838 ,0147922 .0478944 .1102737 .1851344 .2283540 .41 .42 .0037922 .0174563 .0542389 .1198423 .1950793 .2285429 .42 .43 .0046342 .0204769 .061 073 2 * .1295525 .2003235 .2276100 . 43 .44 .0056292 .0238815 .0683878 .1392625 .2067836 .2255822 .44 .45 .0067982 .0276964 .0761651 .1489451 .2123847 .2224982 .45 .46 .0081642 .0319466 .0843866 .1584889 .2170609 .2184090 .46 .47 .0097515 .0366549 .0930018 .1677991 .2207569 .2133760 .47 .48 .0115868 .0418412 .IOI9878 .1767790 .2234290 .2074697 .48 .49 .0136976 .0475224 .1112896 .1853512 .2250451 .2007690 .49 . 50 m .0161133 .0537109 .1208497 .1955595 .2255860 .1935593 . 50 13 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n-12 r = 4 n-12 r- 3 n=12 v - 2 n=12 r= l n=12 r- 0 n=13 r=12 p .01 .0000045 .0002010 .0059689 .1074406 .8863849 .0000000 .01 .02 .0000673 .0014674 .0215708 .1921755 .7847167 .0000000 .02 • 03 .0003143 .0045157 .0438030 .2575085 .6938424 .0000000 .03 .04 .0009142 .0097508 .0702064 .3063548 .6127098 .0000000 .04 .05 .0020525 .0173319 .0987916 .3412800 .5403601 .0000000 .05 .06 .0039105 .0272287 .1279750 .3645347 .4759203 .0000000 .06 .07 .0066506 .0392702 .1565199 .3780870 .4185963 .0000000 .07 .08 .0104056 .0531842 .1834857 .3836519 .3676664 .0000000 .08 • 09 .0152724 .0686314 .2081819 .3827181 .3224755 .0000000 .09 .10 .0213082 .0852325 .2301277 »3765728 .2824295 .0000000 .10 .11 .0285296 .1025913 .2490173 .3663228 .2469904 .0000000 .11 .12 .0369141 .1203124 .2646873 .3529164 .2156712 .0000000 .12 .13 .0464016 .1380149 .2770915 .3371602 .1880317 .0000000 .13 .14 .0568990 .1553434 .2862757 .3197366 .1636746 .0000000 .14 .15 .0682844 .1719756 .2923585 .3012178 .1422418 .0600000 .15 .16 .0804117 .1876274 .2955131 .2820807 .1234103 .0000000 .16 .17 .0931163 .2020562 .2959530 .2627176 .1068900 .0000000 .17 .18 .1062199 .2150626 .2939189 .2434479 .0924201 .0000000 .18 .19 .1195363 .2264898 .2896685 .2245278 .0797664 .0000000 .19 .20 .1328756 .2362232 .2834678 .2061584 .0687195 .0000000 .20 .21 .1460492 .2441880 .2755836 .1884945 .0590915 .0000001 .21 .22 .1588740 .2503468 .2662780 .1716503 .0507149 .0000001 .22 .23 .1711758 .2546964 .2558037 .1557066 .0434399 .0000002 *23 .24 .1827927 .2572639 .2444006 .1407155 .0371333 .0000004 .24 .25 .1935777 .2581036 .2322932 .1267054 .0316764 .0000006 .25 .26 .2034006 .2572932 .2196887 .1136851 .0269638 .0000009 ,26 .27 .2121501 .2549292 .2067760 .1016475 .0229020 .0000015 .27 .28 .2197340 .2511246 .1937247 .0905726 .019^084 .0000021 .28 ,29 .2260809 .2460038 .1806856 .0804305 .0164097 .0000033 .29 .50 .2311397 .2397005 .1677902 .0711838 .0138413 .0000048 .30 .31 .2348793 .2323537 .1551523 .0627889 .0116463 .0000071 .31 .32 .2372881 .2241057 .1428674 .0551987 .0097748 .0000102 .32 .33 .2383742 .2150987 .1310146 .0483636 .008i827 .0000145 .33 .34 .2381620 .2054730 .1196578 .0422322 .0068317 .0000205 .34 .35 .2366923 .1953651 .1088463 .0367533 .0056880 .0000285 .35 • 36 .2340211 .1849056 .0986163 .0318759 .0047224 .0000394 .36 .37 .2302165 .1742180 .0889923 .0275505 .0039092 .0000540 •37 .38 .2253580 .1634176 .0799886 .0237286 .0032263 .0000731 .38 .39 .2195343 .1526107 .0716096 .0203646 .0026543 .0000982 .39 .40 .2128409 .1418940 .0638523 .0174142 .0021768 .0001309 .40 .41 .2053793 .1313537 .0567064 .0148367 .0017792 .0001730 .41 .42 .1972542 .1210661 .0501659 .0125933 .0014492 .0002271 .42 .*3 .1885723 .1110969 .044i803 .0106482 .0011762 .0002961 .43 .44 .1794403 .1015016 .0387552 .0089681 .0009512 .0003833 .44 .45 .1699639 .0923261 .0338529 .0075229 .0007662 ■0004930 .45 . 46 1602456 .0836065 .0294440 .0062845 .0006148 .0006301 .46 .47 .1503847 .0753701 .0254975 .0052277 .0004913 .0008006 .47 .48 .1404743 .0676358 .0219816 .0043297 .0003909 .0010112 .48 .49 .1306024 .0604146 .0188642 .0035699 .0003696 .0012702 .49 .50 - .1208497 - .0537109 .0161133 .0029297 .0002441 .0015869 .50 14 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=13 r =n n=13 r=io n*13 r - 9 n=13 r= 8 n-13 r= 7 n-13 r- 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000010 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000002 .0000053 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000010 .0000187 .05 .06 .0000000 .0000000 .0000000 .0000002 .0000033 .0000519 .06 .07 .0000000 .0000000 .0000000 .0000005 .0000092 .0001215 .07 .08 .0000000 .0000000 .0000001 .0000014 .0000218 .0002510 .08 .09 .0000000 .0000000 .0000002 .0000035 .0000466 .0004712 .09 .10 .0000000 .0000000 .0000005 .0000076 .0000912 .0008207 .10 .11 .0000000 .0000001 .0000010 .0000154 .0001662 .0013446 .11 .12 .0000000 .0000001 .0000022 .0000292 .0002856 .0020940 .12 .15 .0000000 .0000003 .0000043 .0000523 .0004670 .0031247 .13 .14 .0000000 .0000006 .0000080 .0000894 .0007318 .0044955 .14 .15 .0000001 .0000010 ,0000143 .0001464 .0011057 .0062661 .15 .16 .0000001 .0000019 .0000244 .0002312 .0016182 .0084956 .16 .17 .0000002 .0000033 .0000402 .0003537 .0023021 .0112398 .17 .18 .0000003 .0000057 .0000641 .0005258 .0031938 .0145496 .18 .19 .0000006 .0000093 .000099*1 .0007621 .0043321 .0184686 .19 .20 .0000011 .0000150 .0001499 .0010796 .0057580 .0230317 .20 .21 .0000017 .0000235 .0002212 .0014979 .0075130 .0282633 .21 .22 .0000028 .0000361 .0003195 .0020390 .0096393 .0341756 .22 .23 .0000044 .0000541 .0004527 .0027281 .0121774 .0407680 .23 .24 .0000068 .0000796 .0006302 .0035920 .0151662 .0480264 .24 .25 .0000105 .0001150 .0008630 .0046602 .0186408 .0559225 .25 .26 •0000157 .0001636 .0011641 .0059638 .0226319 .0644139 ,26 .27 .0000231 .0002290 .0015484 .0075353 .0271645 .0734446 .27 .28 .0000336 .0003162 .0020326 ; 0094082 .0322566 .0829455 .28 .29 .0000479 .0004307 .0026358 .0116160 .0379187 0928354 .29 .30 .0000677 .0005793 .0033790 .0141918 .0441524 .1030223 .30 .31 .0000944 .0007700 .0042851 ,0171679 .0509500 .1134047 • 31 .32 .0001299 .0010125 .0053789 .0205742 .0582935 .1238739 .32 .33 .0001769 .0013175 .0066870 .0244379 .0661551 .1343150 .33 .3* .0002385 .001697*1 .0082374 .0287826 .0744960 .1446100 .34 .35 .0003182 .0021667 .0100593 .0336272 .0832671 .1546390 • 35 .36 •0004205 .0027412 .0121828 .O38985I .0924091 .1642828 .36 .37 .0005508 .0034387 .0146381 .0448637 .1018527 .1734249 •37 .38 .0007153 .0042794 .0174552 .0512632 .1115200 .1819536 .38 .39 .0009215 .0052844 .0206637 .0581761 .1213245 .1897639 •39 .40 .0011777 .006*1777 .0242913 .0655866 .1311731 .1967596 .40 .41 .0014943 .0078842 .0283641 .0734699 .1409666 .2028545 .41 .42 .0018823 .0095311 .0329050 .0817924 .1506018 .2079740 .42 .43 .0023550 .0114466 .0379334 .0905108 .1599726 .2120567 .43 .44 .0029272 . 0136602 .0434642 .0995727 ,1689718 .2150550 .44 .45 .0036154 .0162024 .0495074 .1089161 .1774929 .2169358 .45 . 46 .0044383 .0191041 .0560663 .1184704 .1854320 .2176810 .46 .47 .0054165 .0223961 .0631379 .1281566 .1926892 .2172879 .47 .48 .0085729 .0261089 .0707116 .1378875 .1991710 .2157685 .48 .49 .0079321 .0302718 .0787683 .1475700 .2047910 .2131490 .49 .50 .0095215 .0349121 .0872803 .1571044 .2094727 .2094727 . 50 15 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-13 r- 5 n-13 r= 4 n=13 r = 3 n=13 r- 2 n=13 r= 1 n=13 r= 0 P .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .19 .20 .21 .22 .23 .24 • 25 .26 .27 .28 .29 .30 .31 .32 .33 .34 .35 • 36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 .0000001 .0000035 .0000246 .0000951 .0002669 .0006100 .0012104 .0021643 .0035738 .0055402 .0081595 .0115172 .0156837 .0207112 .0266310 .0334512 .0411574 .0497109 .0590510 .0690953 .0797428 .0908759 .1023632 .1140627 .1258255 .1374989 .1489293 .1599663 .1704650 .1802889 .1893127 .1974239 .2045252 .2105352 .2153901 .2190437 .2214683 .2226537 .2226078 .2213546 .2189343 .2154016 .2108238 .2052797 .1988578 .1916540 .1837701 .1753120 .1663874 .1571044 .0000066 .0000954 .0004402 .0012676 .0028164 .0053096 .0089339 .0138279 .0200746 .0277005 .0366764 .0469218 .0583113 .0706813 ;0838381 .0975663 .1116360 .1258116 .1398574 .1535451 .1666584 .1789980 .1903855 .2006658 .2097092 .2174127 .2237005 .2285234 .2318586 .2337080 .2340963 .2330699 .2306933 .2270477 .2222278 .2163395 .209W1 .2018207 .1934341 .1844621 .1750289 .1652552 .1552578 .1451473 .1350269 .1249917 .1151278 .1055118 .0962104 .0872803 .0002586 .0018694 .0056944 .0121691 .0214048 .0332735 .0474777 .0636084 .0811910 .0997221 .1186982 .1376375 .1560949 .1736739 .1900330 .2048891 .2180187 .2292567 .2384938 .2456721 .2507811 .2538517 .2549510 .2541766 .2516510 .2475160 .2419278 .2350526 .2270615 .2181273 .2084213 .1981094 .1873509 .1762959 .1650835 .1538414 .1426844 .1317145 .1210203 .1106773 .1007483 .0912839 .0823228 .0738932 .0660131 .0586917 .0519300 .0457218 .0400549 .0349121 .0069836 .0249829 .Q502142 .0796523 .1109161 .1421686 . 1720296 .1994990 .223890I .2447722 .2619209 .2752748. .2849004 .2909602 .2936874 .2933639 .2903030 .2848341 .2772918 .2680060 .2572949 .2454599 .2327814 '.2195162 .2058963 .1921278 .1783913 .1648421 .1516116 .1388084 .1265196 .1148134 .1037398 .0933331 .0836138 .0745898 .0662589 .0586099 .0516240 :0452771 .0395398 .0,343796 .02 97615 .02 56469 .02'20044 .0267907 .0159707 .0135087 .01.13700 .0 095215 .1152301 .2040263 .2705985 .3186090 .3512340 .3712178 .3809226 .3823730 •3772963 .3671584 .3531962 •3364470 .3177735 .2978879 .2773714 .2566934 .2362269 .2162630 .1970231 .1786706 .1613198 .1450445 .1298853 .1158558 .1029481 .0911375 .0803862 *.0706466 .0618645 .0539810 .0469347 .0406631 .0351039 .0301960 .0258804 .0221007 .0188032 .0159377 .0134575 .0113192 .0094831 .0079127 .0065752 .0054406 .0044824 .0036764 .0030016 .0024390 .0019723 .0015869 .8775210 .7690224 .6730271 .5882014 .5133421 .4473651 .3892946 .3382531 .2934527 .2541866 .2198215 .1897906 .1635876 .1407602 .1209055 .1036647 .O887187 .0757844 .0646108 .0549756 .0466823 .0395576 .0334487 .0282213 .0237573 .0199532 .0167185 .0139741 .0116509 .0096889 .0080360 . 0066468 .0054824 .0045089 .0036972 .0030223 .0024628 .0020003 .0016192 .0013061 .0010497 .0008406 .0006705 .0005327 .0004214 .0003320 .0002604 .0002033 .0001579 .0001221 .01 .02 • 03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 *23 .24 .25 ,26 .27 .28 .29 • 30 -31 • 32 • 33 .34 .35 .36 •37 .38 .39 .40 .41 .42 .43 .44 .^5 .46 .47 .48 .49 .50 16 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r -- n=l4 r=13 n=l4 r=i2 n=l4 r-11 n=l4 r*10 n=l4 r= 9 n=l4 r = 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000002 .0000030 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000005 .0000073 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000012 .0000159 .10 .11 .0000000 .0000000 .0000000 .0000002 .0000026 .0000320 .11 .12 .0000000 .0000000 .0000000 .0000004 .0000054 .0000600 .12 .13 .0000000 .0000000 .0000000 .0000008 .0000106 .0001062 .13 .14 .0000000 .0000000 .0000001 .0000016 .0000194 .0001793 .14 .15 .0000000 .0000000 .0000002 .0000030 .0000342 .0002902 .15 .16 .0000000 .0000000 .0000004 .0000055 .0000575 .0004531 .16 .17 .0000000 .0000000 .0000008 .0000095 .0000935 .0006849 .17 .18 .0000000 .0000001 .0000013 .0000161 .0001472 .0010061 .18 .19 .0000000 .0000001 .0000023 .0000264 .0002253 .001440-4 .19 .20 .0000000 .0000002 .0000039 .0000419 .0003359 .0020153 .20 .21 .0000000 .0000004 .0000063 .0000651 .0004893 .0027610 .21 .22 .0000000 .0000007 .0000101 •0000984 .0006979 .0037111 .22 .23 .0000001 .0000011 .0000159 .0001457 .0009761 .0049014 *23 .24 .0000001 .0000019 .0000243 .0002118 .0013410 .0063698 .24 .25 .0000002 .0000030 .0000366 .0003021 .0018123 .0081555 .25 .26 .0000003 .0000047 .0000542 .0004237 .0024120 .0102975 ,26 .27 .0000004 .0000073 .0000787 .0005853 .0031648 .0128352 .27 .28 .0000007 .0000109 .0001127 .0007968 .0040978 .0158057 .28 .29 .0000010 . 0000163 .0001589 .0010702 .0052401 .0192437 .29 .30 .0000016 .0000237 .0002212 •0014192 .0066228 .0231800 .30 .31 .0000023 .0000342 .0003038 .0018597 .0082788 .0276403 -31 .32 . 0000035 .0000485 .0004124 .0024097 .0102414 .0326444 .32 .33 .0000051 .0000682 .0005533 .0030894 .0125448 .0382046 ,33 • 34 .0000075 .0000946 .00073^5 .0039210 .0152228 .0443251 .34 • 35 .0000108 .0001299 .0009651 .0049291 .0183081 .0510012 .35 .36 .0000153 .0001766 .0012560 .0061401 .0218316 .0582178 .36 • 37 .0000215 .0002377 .0016194 .0075825 .0258216 .0659496 .38 .0000299 .0003171 .0020697 .0092862 .0303022 .0741608 .38 • 39 .0000412 .0004193 .0026230 .0112823 .0352935 .0828040 .39 .40 •0000564 .0005496 .0032977 .0136031 .0408094 .0918212 .40 .0000764 .0007148 .0041141 .0162810 .0468575 .1011435 .41 .42 .0001028 .0009223 .0050948 .0193481 .0534377 .1106924 .42 .0001371 .0011814 .0062644 .0228359 .0605417 .1203794 .43 It i. .44 .0001816 .0015027 .0076497 .0267739 .0681520 .1301083 .44 • ^5 .0002389 .0018981 .0092795 .0311896 .0762413 .1397757 • 45 .46 .0003122 .0023818 .0111846 .0361067 .0847722 .1492727 . 46 .47 .0004052 .0029700 .0133970 .0415447 .0936967 .1584869 .47 ), Q .48 .0005227 .0036808 .0159501 .0475182 .1029561 .1673036 . 4o .49 .0006703 .0045345 .0188786 .0540350 .1124812 .1756083 .49 • 50 .0008545 .0055542 .0222168 .0610962 .1221924 .1832886 • 50 17 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q “- r p n=l4 r = 7 n=l4 r = 6 n=l4 r = 5 n-14 r- 4 11=14 r- 3 n=l4 r= 2 P .01 .0000000 .0000000 .0000002 .0000090 .0003259 .0080661 .01 .02 .0000000 .0000002 .0000053 .0001309 .0023317 .0285637 .02 .03 .0000001 .0000017 .0000370 .0005979 .0070300 .0568256 *03 .04 .0000004 .0000089 .0001420 .0017037 .0148684 .0892105 .04 .05 .0000019 .0000311 .0003943 .0037458 .0258804 .1229320 .05 .06 .0000062 .0000854 .0008920 .0069874 .0398072 .1559115 .06 .07 .0000170 .0001977 .0017510 .0116321 .0561963 .1866521 .07 .08 .0000402 .0004040 .0030975 .0178103 ,0744796 .2141289 .08 .09 .0000849 .0007505 .0050588 .0255751 .0940339 .2376967 .09 .10 .0001642 .0012927 .0077561 .0349027 .1142271 .2570109 .10 .11 .0002958 .0020943 .0112963 .0456988 .1344527 .2719612 .11 .12 .0005026 .0032248 .0157657 .0578077 .1541539 .2826155 .12 .13 .0008125 .0047574 .0212253 .0710231 .1728396 .2891740 .15 .14 .0012588 .0067656 .0277071 .0851002 .1900940 .2919301 .14 .15 .0018799 .0093208 .0352120 .0997673 .2055812 .2912400 .15 .16 .0027186 .0124885 .0437096 .1147379 .2190451 .2874967 .16 .17 .0038215 .0163258 .0531388 .1297211 .2303070 .2811101 .17 .18 .0052378 .0208786 .0634091 .1444317 .2392607 .2624913 .18 .19 .0070181 .0261792 .0744042 .1585983 .2458654 .2620408 .19 .20 .0092137 .0322445 .0859852 .1719705 .2501389 .2501389 .20 .21 .0118706 .0390740 .0979951 .1843241 .2521490 .2371401 .21 .22 .0150372 .0466497 .1102627 .1954658 .2520056 .2233685 .22 .23 .0187533 .0549349 .1226082 .2052356 .2498521 .2091152 *23 .24 .0230527 .0638751 .1348474 .2135084 .2458581 .1946377 .24 .25 .0279613 .0733982 .1467964 .2201946 .2402124 .1801592 .25 .26 .0334953 .0834159 .1582765 .2252395 .2331151 .1658703 .26 .27 .0396601 .0938255 .1691175 .2286219 .2247730 .1519299 *27 .28 .0464495 .1045114 .1791623 .2303516 .2153936 .1384674 .28 .29 .0538445 .1153481 .1882691 .2304675 .2051810 .1255849 .29 .30 .0618134 .1262023 <■ .1963146 .2290338 .1943316 .1133602 .30 .31 .0703109 .1369362 .2031956 .2261371 .1830318 .1018483 *51 .32 .0792793 .1474098 .2088306 .2218826 .1714547 .0910853 *52 .33 .0886479 .1574843 .2131607 .2163903 .1597593 .0810899 • 53 .34 .0983348 .1670246 .2161494 .2 097921 .1480885 .0718665 *34 .35 .1082473 .1759018 .2177833 .2022273 .1365691 .0634071 *35 • 36 .1182836 .1839967 .2180702 .1958402 .1253109 .0556937 .36 .37 .1283V44 .1912010 .2170389 .18*47764 .1144070 .0487003 .38 .1382847 .1974197 .2147372 .175£ 8 °3 .1039348 .0423944 .38 • 39 .1480159 .2025731 .2112300 .1652.927 .0939557 .0367391 • 39 .40 .41 .42 .43 .44 *45 .46 .47 .48 .49 .40 .1574077 .2065976 .2065976 .1549482 .0845172 .0316940 .41 .1663407 .2094472 .2009330 .1445759 .0756528 .0272165 .42 .1746981 .2110936 .1943401 .1341872 .0673841 .0232635 .43 .1823688 .2115265 .1869305 .1238957 .0597215 .0197914 . 44 .1892484 .2107539 .1788214 .1137955 .0526657 .0167573 .45 .1952422 .2088007 .1701339 .1039707 .0462092 .0141195 . 46 .2002666 .2057085 .1609894 .0944937 .0854248 .0403372 .QH8381 .47 .2042506 .2015345 .1515083 .0350292 .0098752 .48 .2071378 .1963494 .1418078 .0768126 .0302595 .0081955 .49 .2088868 .1902362 .1320007 .0686942 .0259993 .0067651 • 30 .2094726 .1832886 .1221924 .0610962 .0222168 .0055542 • 50 18 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q | n=l4 r= 1 n=l4 r- 0 n=15 r-l4 n-15 r=l3 n=15 r=12 n-15 r-11 p .01 .1228530 .8687458 .0000000 .0000000 .0000000 .0000000 .01 .02 .2153263 .7536419 .0000000 .0000000 .0000000 .0000000 .02 .03 .2826714 .6528363 .0000000 .0000000 .0000000 .0000000 .03 .04 .3293928 .5646733 .0000000 .0000000 .0000000 .0000000 .04 .05 .3593394 .4876750 .0000000 .0000000 .0000000 . OOO'OOOO .05 .06 •3757867 .4205252 .0000000 .0000000 .0000000 .0000000 .06 .07 .3815087 .3620439 .0000000 .0000000 .0000000 .0000000 .07 .08 .3788435 .3111928 .0000000 .0000000 .0000000 .0000000 .08 .09 •3697503 .2670420 .0000000 .0000000 .0000000 .0000000 .09 .10 .3558612 .2287679 .0000000 .0000000 .0000000 .0000000 .10 .11 .3385250 .1956411 .0000000 .0000000 .0000000 .0000000 .11 .12 .3188483 .1670157 .0000000 .0000000 .0000000 .0000001 .12 .13 .2977293 .1423212 .0000000 .0000000 .0000000 .0000001 .13 .14- .2758900 .1210538 .0000000 .0000000 .0000000 .0000003 .14 .13 .2539015 .1027697 .0000000 .0000000 .0000000 .0000007 .15 .16 .2322088 .0870783 .0000000 .0000000 .0000001 .0000012 .16 .17 .2111505 .0736365 .0000000 .0000000 .0000002 .0000022 .17 .18 .1909768 .0621432 .0000000 .0000000 .0000003 .0000040 .18 .19 .1718647 .0523348 .0000000 .0000000 .0000006 .0000068 .19 .20 .1539316 .0439805 .0000000 .0000001 .0000009 .0000115 .20 .21 .1372460 .0368790 .0000000 .0000001 .0000017 .0000186 .21 .22 .1218374 .0308549 .0000000 .0000002 .0000028 .0000295 .22 • 23 .1077049 .0257555 .0000000 .0000003 .0000046 .0000457 *23 .24 .0948235 .0214482 .0000000 .0000006 .0000073 .0000692 .24 .25 .0831505 .0178179 .0000000 .0000009 .0000115 .0001029 .25 .26 .0726296 .0147654 .0000001 .0000014 .0000176 .0001502 ,26 .27 .0631959 .0122045 .0000001 .0000023 .0000266 .0002154 .27 .28 .0547783 .0100613 .0000002 .0000035 .0000395 .0003042 .28 .29 .0473026 .0082721 .0000003 .0000055 .0000576 .0004232 .29 .30 .0406934 .0067822 .0000005 .0000082 .0000830 .0005805 .30 .31 .0348761 .0055448 .0000008 .0000122 .0001177 .0007862 -31 .32 .0297778 .0045199 .0000012 .0000180 .0001649 .0010515 ,32 .33 .0253288 .0036732 .0000018 .0000259 .0002283 .0013902 .33 .34 .0214624 .0029759 .0000027 .0000371 .0003122 .0018179 .34 • 35 .0181163 .0024032 .0000041 .0000524 .0004223 .0023525 .35 • 36 .0152324 .OOI 9343 .0000059 .0000734 .0005652 .0030142 .36 • 37 .0127572 .0015516 .0000085 .0001016 .0007489 .0038257 .38 .0106415 .0012402 .0000122 .0001390 .0009831 .0048119 .38 .39 .0088406 .0009877 .0000173 .0001886 .0012788 .0060001 .39 .40 .0073140 .0007836 .0000241 .0002537 .0016489 .0074199 .40 .0060255 .0006193 .0000335 .0003382 .0021085 .0091025 .41 .42 .0049425 .0004875 .0000463 .0004469 .0026748 .0110812 .42 .43 .0040361 .0003822 .•0000631 .0005862 .0033671 .0133902 .43 .44 .0032811 .0002983 .0000856 .0007629 ,0042073 .0160644 .44 .^5 .0026549 .0002318 .0001152 .0009855 .0052198 .0191391 • 45 1*/^ . 46 .0021380 .0001793 .0001539 .0012642 .0064311 .0226488 . 46 .47 j. 0 .0017132 .0001380 .0002040 .0016107 .0078707 .0266264 .47 ), Q .48 .0013659 .0001057 .0002689 .0020386 .0095701 .0311028 . 40 .49 .0010833 .0000805 .0003519 .0025638 .0115631 .0361053 .49 .50 .0008545 .0000610 .0004578 .0032043 .0138855 .0416565 • 50 19 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q D * r p n=15 r«:10 n*15 9 n-15 r- 8 n=15 r- 7 n=l5' r= 6 n=15 r= 5 P .01 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000003 .01 .02 .0000000 .0000000 .'■0000000 .OOOOOOC .0000003 .0000078 .02 .03 .0000000 .0000000 .0000000 .0000001 .0000028 .0000538 .03 .04 .0000000 .0000000 .0000000 .0000008 .0000142 .0002044 .04 .05 .0000000 .0000000 .0000002 .0000033 .0000493 .0005619 .05 .06 .0000000 .0000000 ,0000007 .0000110 .0001338 .0012578 .06 .07 .0000000 .0000001 .0000023 .0000296 .0003065 .0024427 .07 .08 .0000000 .0000004 .0000061 .0000692 .0006195 .0042745 .08 .09 .0000001 .0000011 .0000143 .0001447 .OOII383 .0069052 .09 .10 .0000002 .0000026 .0000308 .0002770 .0019391 .0104708 .10 .11 .0000005 .0000058 .0000610 .0004937 .0031065 .0150806 .11 .12 .0000009 .0000120 .0001131 .0008293 .0047297 .0208108 .12 .13 .0000021 .0000230 .0001981 .0013252 ,0068983 .0276990 .13 .14 .0000041 .0000418 .0003305 .0020297 .0096974 .0357421 .14 .15 .0000076 .0000726 .0005287 .0029960 .0132045 .0448953 .15 .16 .0000138 .0001208 .0008156 .0042817 .0174839 .0550742 .16 • 17 .0000238 .0001941 .0012181 .0059472 .0225840 .0661578 .17 .18 .0000397 .0003018 ,0017678 .0080532 .0285341 .0779931 .18 .19 .0000642 .0004561 .0025002 .0106587 .0353420 .0904011 .19 .20 .0001007 .0006718 .0034547 .0138191 .0429926 .1031823 .20 .21 .0001541 .0009664 .0046740 .0175833 .0514474 .11.61242 .21 .22 .0002303 .0013607 .0062029 .0219919 .0606446 .1290074 .22 .23 .0003367 .0018789 .0080874 .0270750 .0704998 .1416125 ,23 .24 .0004828 .0025479 .0103737 .0328501 .0809084 .1537261 .24 .25 .0006796 .0033981 .0131068 .0393205 .0917478 .1651460 .25 .26 .0009407 .0044623 .0163289 .0464746 .1028797 .1756868 ,26 .27 .0012818 .0057758 .0200780 .0542847 .1141543 .1851837 .27 .28 .0017211 .0073760 .0243860 .0627068 .1254136 .1934953 .28 .29 .0022794 .0093011 .0292780 .0716806 .1364951 .2005067 .29 • 30 .0029803 .0115900 .0347700 .0811301 .1472360 .2061303 .30 .31 .0038496 .0142809 .0408682 .0909647 .1574766 .2103075 • 31 .32 .0049159 .0174103 .0475676 .1010810 .1670645 .2130072 .32 .33 .0062097 .0210125 .0548509 .1113639 .1758575 .2142265 • 33 .34 .0077637 .0251175 .0626885 .1216893 .1837270 .2139879 • 34 .35 .0096118 .0297506 .0710373 .1319264 .1905604 .2123387 • 35 .36 .0117891 .0349306 .0798415 .1419403 .1962632 .2093474 •37 .0143310 .0406689 .0890321 .1515950 .2007610 .2051018 .38 .0172723 .0469685 .0985279 .1607560 .2040003 .1997056 .38 .39 .0206467 .0538226 .1082366 .1692932 .2059493 .1932754 .40 .0244856 .0612141 .1180558 .1770836 .2065976 .1859379 .40 .41 .0288173 .0691148 .1278744 .1840143 .2059564 .1778258 .41 .42 .0336658 .0774846 .1375748 .1899842 .2040571 .1690759 .42 • 4 -? .0390494 .0862718 .1470349 .1949066 .2009502 .1598256 .43 !• >• .44 .0449803 .0954127 .1561300 .1987108 .1967036 .150210.1 .44 • 45 .0514628 .1048318 .1647356 .2013435 .1914006 .1403605 • 45 . 46 .0584928 .1144424 .1727299 .2027699 .1851377 .1304014 .46 .47 .0660562 .1241480 .1799959 .2029741 .1780221 .1204490 *47 ItO .48 .0741283 .1338429 .1864240 .2019594 .1701694 .1106102 .48 .49 .0826736 .1434134 .1919148 .1997480 .1617008 .1009805 • 49 • 50 .0916443 .1527405 .1963806 .1963806 .1527405 .091644-3 • 50 20 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r q p n*15 r= 4 n-15 r- 3 n=15 r- 2 n=15 v~ 1 n=15 r= 0 n-16 r=15 p .01 .0000122 .0004033 .0092140 .1303118 .8600584 .0000000 .01 .02 .0001749 .0028564 .0322989 .2260926 .7385691 .0000000 -.02 .03 .0007909 .0085238 .0636011 .2937763 .6332512 .0000000 .03 .04 .0022303 .0178421 .0988178 .3388040 .5420864 .0000000 .04 .05 .0048526 .0307329 .1347523 .3657563 .4632912 .0000000 .05 .06 .0089566 .0467734 .1691040 .3784709 .3952918 .0000000 .06 .07 .0147515 .0653283 .2002920 .3801461 .3367009 .0000000 .07 .08 .0223439 .0856515 .2273061 .3734314 .2862974 .0000000 .08 .09 .0317365 .1069635 .2495815 .3605066 .2430082 .0000000 .09 .10 .0428351 .1285055 .2668959 .3431519 .2058911 .0000000 .10 .11 .0554617 .1495786 .2792832 .3228078 .1741206 .0000000 .11 .12 .0693692 .1695693 .2869634 .3006283 .1469739 .0000000 .12 .13 .0842593 .1879630 .2902862 .2775263 .1238194 .0000000 .13 .14 .0997994 .2043511 .2896844 .2542130 .1041062 .0000000 .14 .15 .1156394 .2184300 .2856392 .2312318 .0873542 .0000000 .15 .16 .1314270 .2299974 .2786506 .2089879 .0731458 .0000000 .16 .IT ' .1468207 .2389435 .2692169 .1877732 .O6III83 .0000000 .17 .18 .1615009 .2452422 .2578187 .1677867 .0509575 .0000000 .18 .19 .1751791 .2489387 .2449073 .1491540 .0423912 .0000000 .19 .20 .1876042 .2501389 .2308974 .1319414 .0351844 .0000000 .20 .21 .1985674 .2489971 .2161624 .1161689 .0291344 .0000000 .21 .22 .2079046 .2457053 .2010317 .1018213 .0240668 .0000000 .22 .23 .2154974 .2404826 .1857908 .0888566 .0198317 .0000000 *23 .24 .2212723 .2335653 .1706823 .0772134 .0163006 .0000000 .24 .25 .2251990 .2251991 .1559070 .0668173 .0133635 .0000000 .25 .26 .2272872 .2156315 .1416277 .0575849 .0109264 .0000000 ,26 .27 .2275827 .2051054 .1279717 .0494282 .0089093 .0000000 .27 .28 .2261634 .1938543 .1150344 .0422575 .0072442 .0000001 .28 .29 .2231344 .1820981 .1028831 .0359837 .0058732 .0000001 .29 .30 .2186232 .1700402 .0915601 .0305200 .0047476 .0000002 .30 .31 .2127744 .1578649 .0810870 .0257834 .0038259 .0000003 .32 .2057457 .1457364 .0714670 .0216953 .0030735 .0000004 .32 .33 .1977021 .1337983 .0626888 .0181824 .0024611 .0000007 .33 .34 .1888129 .1221730 .0547291 .0151770 .0019641 .0000010 .34 .35 .1792469 .1109624 .0475553 .0126167 .0015621 .0000015 .35 .36 .1691696 .1002487 .0411276 .0104452 .0012379 .0000022 .36 .57 .1587397 .0900955 .0354014 .0086111 .0009775 .0000034 •37 .38 .1481070 .0805495 .0303283 .0070690 .0007689 .0000049 .33 .39 .1374103 .0716413 .0258587 .0057779 .0006025 .0000072 •39 .40 .1267758 .0633879 .0219420 .0047018 .0004702 .0000103 .40 .41 .1163162 .0557940 .0185282 .0038089 .0003654 .0000147 .41 .42 .1061299 .0488535 .0155687 .0030713 .0002828 .0000208 .42 .*3 .0963008 .0425515 .0130166 .0024650 .0002178 .0000289 .4} .44 .0868983 .0368660 .0108278 .0019687 .0001670 .0000402 .44 .45 .0779780 .0317689 .0089604 .0015645 .0001275 .0000553 .45 .46 .0695817 .0272277 .0073760 .0012370 .0000968 .0000755 .46 .47 .0617389 .0232068 .0060391 .0009729 .0000731 .0001023 .47 .48 .054^671 .0196687 .0049171 .0007610 .0000550 .0001377 .48 .49 .0477737 .0165746 .0039810 .0005919 .0000411 .0001840 .49 .50 .0416565 .0138855 .0032043 .0004578 .0000305 .0002441 .50 21 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=l6 rsl4 n=l6 r.^ n=l6 r*12 11=16 r = H n=l6 r=10 n=l6 r= 9 p .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 * l6 i .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 • 30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 • *3 .44 .45 .46 .47 .48 .49 .50 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .00.0(5001 .0000002 .0000003 .0000004 .0000007 .0000011 .0000018 .0000028 .0000043 .0000066 .0000097 .0000144 .0000209 .0000302 .0000429 .0000604 .0000840 .0001160 .0001585 .0002145 .0002881 .0003836 .0005069 .0006646 .0008651 .0011183 .0014357 .0018311 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000001 .0000002 .0000005 .0000008 .0000013 .0000021 .0000035 .0000057 .0000089 .0000136 .0000206 .0000306 .0000449 .0000649 .0000927 .0001307 .0001819 .0002504 .0003411 .0004598 .0006138 .0008118 .0010639 .0013827 .0017820 .0022784 .0028909 .0036410 .0045529 .0056537 .0069734 .0085449 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000001 .0000003 .0000005 .0000009 .0000018 .0000031 .0000052 .0000087 .0000140 .0000222 .0000343 .0000521 .0000775 .0001136 .0001636 .0002322 .0003250 .0004487 .0006117 .00082^1 .0010979 .0014469 .0018873 .002^380 .0031201 .0039572 .0049761 .0062054 .0076770 .0094245 •0114835 .0138913 .0166859 .0199058 .0235888 .0277710 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .0000004 .0000008 .0000017 .0000032 .0000059 .0000104 .0000177 .0000293 .0000470 .0000736 .0001126 .0001685 .0002471 .0003557 .0005034 .0007009 .0009615 .0013005 .0017358 .0022881 .0029807 .0038395 .0048932 .0061732 .0077127 .0095469 .0117123 .0142462 .0171856 .0205667 .0244236 .0287873 .0336847 .0391370 .0451584 .0517551 .0589237 .0666504 .OOOOOQO .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .0000005 .0000010 .0000023 .0000048 .0000094 .0000174 .0000309 .0000528 .0000869 .0001387 .0002150 .0003247 .0004790 .0006915 .0009784 .0013593 .0018563 .0024952 .0033045 .0043157 .0055632 .0P70833 .0089141 .0110946 .0136639 .0166604 .0201200 .0240760 .0285568 .0335853 .0391770 .0453393 .0520697 ,0593551 .0671706 .0754789 .0842296 .0933594 .1027913 .1124362 .1221923 .0000000 .0000000 .0000000 .0000000 .'0000000 .0000001 .0000003 .0000008 .0000023 .0000054 .0000119 .0000241 .0000458 .0000822 .0001410 .0002320 .0003682 .0005657 .0008445 .0012283 .0017450 .0024260 .0033068 .0044261 .0058252 .0075476 .0096374 .0121388 .0150945 .0185440 .0225229 ..02706 06 .0321792 .0378917 .0442010 .0510985 .0585633 .0665611 .0750441 .0839508 .0932062 .1027225 .1123999 .1221283 .1317885 .1412547 .1503965 .1590819 .1671791 .1745606 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 *23 .24 .25 ,26 .27 .28 .29 .30 .31 .32 ,33 .34 .35 .36 •37 .38 •? 9 .40 .41 .42 .43 .44 .45 .46 i47 .48 .49 .50 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 n-16 r= 8 n=l6 r- .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .19 .20 .21 .22 .23 .24 • 25 .26 .27 .28 .29 • 30 • 31 .32 .33 .34 .35 • 36 .39 .40 .41 .42 • 43 .44 .0000000 .0000000 .0000000 .0000001 .0000003 .0000013 .0000041 .0000111 .0000260 .0000554 .0001086 .0001990 .0003445 .0005683 .0008988 .0013702 .0020220 .0028992 .0040503 .0055277 .0073850 .0096765 .0124545 .0157680 .0196603 .0241668 .0293137 .0351158 .0415747 .0486781 .0563982 .0646919 .0735002 .0827487 . 0923^85 .1021971 .1121803 .1221746 .1320487 .1416669 .1508918 .1595868 .1676197 .1748655 .1812092 .1865483 .1907956 .1938809 .1957530 . 1963806 .0000000 .0000000 .0000002 .0000013 .0000057 .0000183 .0000491 .0001133 .00023*12 .0004432 .0007811 .0012973 .0020498 .0031032 .0045273 .0063941 .0087755 .0117397 .0153485 .0196537 .0246948 .0304955 .0370628 .0443841 .0524273 .0611399 .0704496 .0802647 .0904768 .1009618 ..1115834 .1221958 .1326468 .1427822 .1524483 .1614966 .1697865 •.1771888 .1835890 .1888893 .1930105 .1958948 .1975054 .1978277 .1968592 .1946591 .1912467 .1867002 .1811049 .1745606 7 n=l6 r- .0000000 .0000004 .0000043 .0000218 .0000749 .0002013 .0004559 .0009119 .0016572 .0027923 .0044236 .0066595 .0096023 .0133437 .0179581 .0234983 .0299915 .0374367 .0458032 .0550306 .0650295 .0756844 .0868557 .0983847 .1100973 .1218096 .1333322 .1444765 .1550584 .1649043 .1738542 .1817661 .1885193 .1940157 .1981827 .2009735 .2023671 .2023684 .2010065 .1983337 .1944229 .1893650 .1832666 .1762464 .1684325 .1599589 .1509628 .1415810 .1319479 .1221923 n-16 n 5 n-16 r- 4 .0000004 .0000112 .0000759 .0002854 .0007764 .0017197 .0033044 .0057200 .0091401 .0137072 .0195226 .0266378 .0350519 .0447101 .0555069 .0672906 .0798705 .0930246 .1065089 .1200667 .1334373 .1463648 .1586060 .1699371 .1801592 .1891029 .1966315 .2026424 .2070687 .2098782 .2110722 .2106835 .2087734 .2054284 .2007566 .1948834 .1879478 .1800981 .1714880 .1622730 .1526069 .1426386 .1325099 .1223529 .1122884 .1024244 .0928552 .0836615 .0749091 . O66S504 .0000161 .0002285 .0010229 .0028548 .0061466 .0112256 .0182919 .0274085 .0385069 .0514022 .0658146 .0813932 .0977408 .1144366 .1310580 .1471983 .1624816 .1765743 .1891934 .2001111 .2091576 .2162207 .2212440 .2242227 .2251991 .2242567 .2215137 .2171168 .2112339 .2040482 .1957525 .1865427 .1766138 .1661553 .1553474 .1443580 .1333413 .1224351 .1117604 .1014207 .0915020 .0820738 .0731886 .0648842 .0571839 .0500988 .0436288 .0377639 .0324862 .0277710 n-16 r- 3 .0004914 .0034453 .0101762 .0210811 .0359340 .0541133 .0747757 .0969839 .1197991 .1423445 .1638461 .1836566 .2012650 .2162978 .2285114 .2377819 .2440900 .2475060 .2481727 .2462906 .2421018 .2358772 .2279035 .2184733 .2078760 .1963905 .1842793 .1717847 .1591258 .1464962 .1340637 .1219703 .1103322 .0992421 .0887699 .0789651 .0698587 .0614654 .0537861 .0468095 .0405150 .0348738 .0298515 .0254091 .0215051 .0180959 .0151380 .0125879 .0104037 .0085449 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 ,26 .27 .28 .29 .30 .31 .32 • 33 .34 • 35 .36 •37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 832939 0 - 50 -3 23 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P 0. p n=l6 r-2 n=16 r= 1 n=l6 r- 0 n=17 r=i6 n-17 r=15 n-17 r=l4 p .01 .0104250 .1376093 .8514578 .0000000 .0000000 .0000000 .01 .02 .0361748 .2363421 .7237977 .0000000 .0000000 .0000000 .02 .03 .0705063 .3039605 .6142537 .0000000 .0000000 .0000000 .03 .04 .1084173 .3469353 .5204029 .0000000 .0000000 .0000000 .04 .05 .1463024 •3706330 .4401267 .0000000 .0000000 .0000000 .05 .06 .1816660 .3794801 .3715743 .0000000 ..OO'OOOOO .0000000 .06 .07 .2128818 .3771050 .3131318 .0000000 .0000000 .0000000 .07 .08 .2389961 •3664607 .2633936 .0000000 .0000000 .0000000 .08 .09 .2595648 .3499318 .2211374 .0000000 .0000000 .0000000 .09 .10 .2745215 .3294258 .1853020 .0000000 .0000000 .0000000 .10 .11 .2840709 .3064522 .1549673 .0000000 .0000000 .0000000 .11 .12 .2886032 .2821898 .1293370 .0000000 .0000000 .0000000 .12 .15 .2886274 .2575444 .1077229 .0000000 .0000000 .0000000 .13 .14 .2847185 .2331979 .0895314 .0000000 .0000000 .0000000 .14 .15 .2774781 .2096501 .0742511 .0000000 .0000000 .0000000 .15 .16 .2675045 .1872532 .0614425 .0000000 .0000000 .0000000 .16 .17 ' .2553715 .1662418 .0507282 .0000000 .0000000 .0000000 .17 .18 .2416129 .1467575 .0417851 .0000000 .0000000 .0000000 .18 .19 .2267142 .1288692 .0343368 .0000000 .0000000 .0000000 .19 .20 .2111062 .1125900 .0281475 .0000000 .0000000 .0000001 .20 .21 .1951638 .0978916 .0230162 .0000000 .0000000 .0000001 .21 .22 .1792054 .0847153 .0187721 .0000000 .0000000 .0000002 .22 .23 .1634959 .0729809 .0152704 .0000000 .0000000 .0000004 *23 .24 .1482498 .0625943 .0123885 .0000000 .0000000 .0000007 .24 .25 .1336347 .0534538 .0100226 .0000000 .0000001 .0000010 .25 .26 .1197766 .0454537 .0080855 .0000000 .0000001 .0000018 ,26 .27 .1067650 .0384881 .0065038 .0000000 .0000002 .0000029 .27 .28 .0946569 .0324538 .0052158 .0000000 .0000004 .0000046 .28 .29 .0834822 .0272517 .0041700 .0000000 .0000006 .0000073 .29 .30 .0732481 .0227883 .0033233 .0000001 .0000009 .0000112 .30 .31 .0639428 .0189766 .0026399 .0000001 .0000015 .0000169 .31 .32 .0555400 .0157363 .0020900 .0000001 .0000024 .0000253 .32 .33 .0480017 .0129944 .0016489 .0000002 .00Q0037 .0000371 .33 .34 .0412814 .0106846 .0012963 .0000004 .0000055 .0000540 .34 .35 .0353268 .0087476 .0010153 .0000006 .0000083 .0000773 .35 • 36 .0300820 .0071305 .0007923 .0000009 .0000123 .0001095 .36 .37 .0254890 .0057867 .0006158 .0000014 .0000180 .0001532 'Zb .38 .0214898 .0046750 .0004767 .0000020 .0000260 .0002121 .38 .39 .0180272 .0037595 .0003675 .0000030 .0000372 .0002906 .40 .0150459 .0030092 .0002821 .0000044 .0000525 .0003943 .40 .41 .0124933 .0023971 .0002156 .0000064 .0000736 .0005297 .41 .42 .0103198 .0019002 .0001640 .0000092 .0001022 .0007051 .42 • 43 .0084794 .0014987 .0001242 .0000132 .0001404 .0009305 .43 .44 .0069298 .0011760 .0000935 .0000188 .0001913 .0012173 .44 .45 .0056322 .0009179 .0000701 .0000264 .0002585 .0015797 .45 t. /* . 46 .0045521 .0007125 .0000523 .0000369 .0003465 .0020338 .46 .47 j t n .0036579 .0005500 .0000388 .0000510 .0004609 .0025984 w47 1.0 .48 .0029222 .0004221 .0000286 .0000702 .0006084 .0032953. . 48 .49 .0023203 .0003221 .0000209 .0000958 .0007973 •0041492 .49 • 50 .OOI83II .0002441 .0000153 .0001297 .0010376 .0051880 . 50 24 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n-17 r=13 n=17 r =12 n=17 r=»ll n=l7 r=lO n-17 r« 9 n=17 r» 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .000000c .0000000 >0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000002 .0000023 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000006 .0000073 .07 .08 .0000000 .0000000 .0000000 .0000001 .0000017 .0000193 .08 .09 .0000000 .0000000 .0000000 .0000004 .0000044 .0000448 .09 .10 .0000000 .0000000 .0000001 .0000009 .0000105 .0000941 .10 .11 .0000000 .0000000 .0000002 .0000022 .0000226 .0001826 .11 .12 .0000000 .0000000 .0000005 .0000049 .0000451 .0003308 .12 .13 .0000000 .0000001 .0000009 .0000102 .0000846 .0005662 .13 .14 .0000000 .0000002 .0000020 .0000196 .0001503 .0009232 .14 .15 .0000000 .0000004 .0000040 .0000360 .0002546 .0014431 .15 .16 , .0000001 .0000007 .0000076 .0000631 .0004141 .0021740 .16 •!T 1 .0000001 .0000014 .0000139 .0001064 .0006493 .0031701 .17 .18 .0000002 .0000027 .0000242 .0001731 .0009857 .0044904 .18 .19 .0000005 .0000047 .0000408 .0002727 .0014536 .0061970 .19 .20 .0000008 .0000083 .0000664 .0004176 .0020883 .0083528 .20 .21 .0000014 .0000141 .0001053 .0006230 .0029294 .0110200 .21 .22 .0000025 .0000230 .0001628 .0009074 .0040211 .0142566 .22 .23 .0000042 .0000367 .0002458 .0012929 .0054108 .0181145 *23 .24 .0000069 .0000573 .0003629 .0018059 .0071482 .0226358 .24 .23 .0000113 .0000875 .0005251 .0024758 .0092840 .0278520 .25 .26 .0000177 .0001311 .0007458 .0033361 . 0118686 .0337798 .26 .27 .0000274 .0001926 .0010411 .0044236 .0149500 .0404204 .27 .28 .0000416 .0002780 .0014300 .0057780 .0185724 .0477575 .28 .29 .0000620 .0003950 .0019343 .0074415 .0227737 .0557563 .29 • 30 .0000911 .0005527 .0025793 .0094574 .0275842 .0643632 .30 .31 .0001317 .0007624 .0033935 .0118696 .0330242 .0735056 .31 .32 .0001877 .0010373 .0044084 .0147210 .0391026 .0830931 .32 .33 .0002640 .0013935 .0056582 .0180525 .0458152 .0930185 .33 .34 .0003664 .0018493 .0071798 .0219014 .0531^31 .1031601 .34 • 35 .0005025 .0024262 .0090118 .0262996 .0610526 .1133834 • 35 • 36 .0006811 .0031483 .0111941 .0312723 .0694940 .1235449 .36 .37 .0009132 .0040427 .0137671 .0368363 .0784016 .1334946 •37 .38 .0012115 .0051394 .0167707 .0429984 .0876942 .1430800 .38 • 39 .0015913 .0064710 .0202428 .0497542 .0972759 .1521494 .39 .40 .0020700 .0080728 .0242185 .0570866 .1070372 .1605558 .40 .0026679 .0099820 .0287286 .0649647 .1168573 .1681605 .41 .42 fti- .0034083 .0122371 .0337980 .0733439 .1266055 .1748361 .42 • l« 1. .0043168 .0148781 .0394441 .0821643 .1361445 .1804705 .43 It It . 44 .0054227 .0179441 .0456760 .0913520 .1453326 .1849689 .44 •45 It /* .0067576 .0214740 .0524921 .1008182 1540278 1882562 • 45 .46 .0083561 .0255043 .0598796 .1104612 .1620897 .1902792 .46 .47 j. 0 .0102554 .0300680 .0678128 .1201668 .1693841 .1910076 .47 |. O .48 .0124947 .0351935 .0762524 .1298108 .1757854 .1904342 . 48 .49 .0151149 .0409029 .0851448 .1392602 .1811804 .1885754 .49 .5° .0181580 .0472107 .0944214 .1483764 .1854706 .1854706 .50 25 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P q p n=17 rs 7 n=17 r- 6 n=17 r- 5 n=17 r? 4 n-17 r e 3 n=17 r» 2 P .01 .0000000 .0000000 .0000006 .0000208 .0005908 .0116968 .01 .02 .0000000 .0000007 .0000155 .0002928 .0040998 .0401782 .02 .03 .0000003 .0000065 .0001043 .0012975 .0119860 .0775100 .03 .04 .0000021 .0000324 .OOO3882 .0035838 .0245746 .1179580 .04 .05 .0000091 .0001100 .0010449 .0076360 .0414524 .1575190 .05 .06 .0000293 .0002924 .0022900 .0137989 .0617664 .1935349 .06 .07 .0000775 .0006554 .0043534 .0222458 .0844431 .2243775 .07 .08 .0001771 .0012966 .0074551 .0329745 .1083449 .2491933 .08 .09 .0003622 .0023307 .0117831 .0458232 .1323780 . 2676978 .09 .10 .0006782 .0038837 .0174767 .0604964 .1555622 .2800120 .10 .11 .0011817 .0060845 .0246147 .0763980 .1770709 .2865328 .11 .12 .0019408 .0090568 .0332085 .0936648 .1962502 .2878336 .12 .13 .0030316 .0129108 .0432014 .1111989 .2126222 .2845866 • 15 .14 00^5368 .0177350 .0544719 .1286971 .2258767 ..2775056 .14 .15 .0065419 .0235904 .O668396 .1456760 .2358564 .2673039 • 15 .16 .0091308 .0305051 .0800759 .1616916 .2425375 .2546644 .16 .17 ' .0123823 .0384709 .0939144 .1763550 .2460079 .2402194 .17 .18 .0163652 .0474425 .1080635 .1893421 .2464452 .2245389 .18 .19 .0211349 .0573373 .1222189 .2003995 .2440956 .2081237 .19 .20 .0267291 .0680378 .1360756 .2093470 .2392537 .1914030 .20 .21 .0331651 .0793951 .1493386 .2160759 .2322448 .1747366 .21 .22 .0404371 .0912341 .1617331 .2205451 .2234094 .1584176 .22 .23 .0485151 .1033582 .1730128 .2227757 .2130897 .1426775 ,23 .24 .0573442 .1155573 .1829657 .2228428 .2016197 .1276924 .24 • 25 .0668448 .1276128 .1914192 .2208683 .1893157 .1135894 • 25 .26 .0769140 .1393058 .1982430 .2170114 .1764709 .1004527 .26 .27 .0874279 .1504230 .2033497 .2114605 .1633504 .0883302 • 27 .28 .0982440 .1607630 .2066952 .2044238 .1501890 .0772400 .28 .29 .1092055 .1701415 .2082766 .1961225 .1371892 .0671753 .29 • 30 .1201446 .1783964 .2081293 .1867826 .1245217 .0581102 • 30 .31 .1308874 .1853918 .2063231 .1766289 .1123263 .0500033 • 51 .32 .1412583 .1910198 .2029584 .1658795 .1007126 .0428028 • 52 .33 .1510848 .1952031 .1981607 .1547410 .0897631 .0364492 • 53 .34 .1602015 .1978961 .1920755 .1434049 .0795354 .0308785 • 34 .35 .1684553 .1990836 .1848634 .1320452 .0700648 .0260241 • 35 • 36 .1757082 .1987811 .1766943 .1208166 .0613671 .0218195 • 36 .37 .1818413 .1970320 .1677434 .1098528 .0534418 .0181992 •31 • 38 .1867571 .1939056 .1581862 .0992667 .0462746 .0151002 .38 .39 .1903818 .1894943 .1481943 .0891504 .0398401 .0124628 •39 .40 .1926671 .1839094 .1379321 .0795762 .0341041 .0102312 .40 .41 .1935896 .1772783 .1275539 .0705974 .0290261 .0083538 .41 .42 .1931523 .1697399 .1172014 .0622498 .0245612 .0067835 ,42 • 43 .1913827 .1614413 .1070017 .0545537 .0206615 .0054777 .43 .44 .1883319 .1525333 .0970666 .0475152 .0172782 .0043981 .44 .45 .1840727 .1431677 .0874914 .0411284 .0143623 .0035108 • 45 . 46 .1786971 .1334930 .0783547 .0353775 .0118657 .0027859 .46 .47 .1723133 .1236522 .0697188 .0302382 .0097423 .0021972 .47 .48 .1650430 .1137796 .0616307 .0256794 .0079484 .0017221 .48 .49 .1570180 .1039989 .0541218 .0216658 .0064429 .0013411 .49 . 50 .1483764 .0944214 .0472107 .0181580 .0051880 .0010376 • 30 26 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=17 r= 1 n=17 r= 0 n=l8 r=17 n=l8 r=l6 n-l8 r=15 11=18 r-^4 p .01 .1447478 .8429432 .0000000 .0000000 .0000000 .0000000 .01 .02 .2460912 .7093218 .0000000 .0000000 .0000000 .0000000 .02 .03 .3132694 .5958260 .0000000 .0000000 .0000000 .0000000 .03 .04 •3538740 .4995868 .0000000 .0000000 .0000000 .0000000 .04 .05 .3741077 .4181203 .0000000 .0000000 .0000000 .0000000 .05 .06 .3790058 .3492798 .0000000 .0000000 .0000000 .0000000 .06 .07 .3726268 .2912126 .0000000 .0000000 .0000000 .0000000 .07 .08 .3582153 .2423221 .0000000 .0000000 .0000000 .0000000 .08 .09 .3383403 .2012351 .0000000 .0000000 .0000000 .0000000 .09 .10 .315013^ .1667718 .0000000 .0000000 .0000000 .0000000 .10 .11 .2897889 .1379209 .0000000 .0000000 .0000000 .0000000 .11 .12 .2638474 .1138166 .0000000 .0000000 .0000000 .0000000 .12 .15 .2380676 .0937189 .0000000 .0000000 .0000006 .0000000 .13 .14 .2130846 .0769970 .0000000 .0000000 .0000000 .0000000 .14 .15 .1893403 .0631134 .0000000 .0000000 .0000000 .0000000 .15 .16 .1671234 .0516117 .0000000 .0000000 .0000000 .0000000 .16 .17 .1466045 .0421044 .0000000 .0000000 .0000000 .0000000 .17 .18 .1278625 .0342638 .0000000 .0000000 .0000000 .0000001 .18 .19 .1109080 .0278128 .0000000 .0000000 .0000000 .0000001 .19 .20 .0957015 .0225180 .0000000 .0000000 .0000000 .0000002 .20 .21 .0821678 .0181828 .0000000 .0000000 .0000000 .0000004 .21 .22 .0702077 .0146423 .0000000 .0000000 .0000001 .0000007 .22 .23 .0597075 .0117582 .0000000 .0000000 .0000001 .0000013 *23 .24 .0505450 .0094152 .00,00000 .0000000 .0000002 .0000021 .24 .25 .0425961 .0075169 .0000000 .0000000 .0000003 .0000036 .25 .26 .0357379 .0059833 .0000000 .0000000 .0000006 .0000059 ,26 .27 .0298523 .0047478 .0000000 .0000001 .0000009 .0000095 .27 .28 .0248271 .0037554 .0000000 .0000001 .0000016 .0000149 .28 .29 .0205580 .0029607 .0000000 .0000002 .0000025 .0000232 .29 • 30 .0169488 .0023263 .0000000 .0000003 .0000041 .0000351 .30 .31 .0139122 .0018215 .0000000 .0000006 .0000062 .0000526 -31 .?2 .0113695 .0014212 .0000000 .0000009 .0000097 .0000772 .32 .33 .0092504 .0011048 .0000001 .0000013 .0000147 .0001120 ,33 .34 .0074925 .0008556 .0000001 .0000022 .0000220 .0001601 .34 .35 .0060413 .0006600 .0000002 .0000033 .0000325 .0002261 .35 • 36 .0048487 .0005071 .0000003 .0000050 .0000473 .0003153 .36 .37 .0038734 .0003880 .0000005 .0000075 .0000681 .0004344 •37 .38 .0030796 .0002956 .0000008 .0000111 .0000968 .0005919 .38 .39 .0024366 .0002242 .0000013 .0000163 .0001360 .0007979 •39 .40 .0019183 .0001693 .0000018 .0000237 .0001892 .0010646 .40 .41 .0015027 .0001272 .0000028 .0000339 .0002607 .0014063 .41 .42 .0011710 .0000951 .0000041 .0000482 .0003554 .0018405 .42 .0009076 .0000708 .0000060 .0000679 .0004801 .0023866 .43 .44 .0006997 .0000524 .0000087 .0000947 .0006428 .0030677 .44 .^5 .0005363 .OOOO386 .0000126 .0001308 .0008531 .0039097 .45 .46 .0004088 .0000282 .0000179 .0001793 .0011227 .0049420 .46 .47 .0003098 .0000205 .0000254 .0002436 .0014655 .0061972 .47 .48 .0002332 .0000149 .0000357 .0003285 .0018981 .0077110 .48 .49 .0001745 .0000107 .0000496 .0004395 .0024398 .0095224 .49 .50 .0001297 .0000076 .0000687 .0005836 .0031128 .0116730 . 50 27 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r q p n=l8 r=l3 n=l8 r=12 n=l8 r=ll n=l8 i* =10 n=l8 r=. 9 n=l8 r= 8 P .01 .0000000 .0000000 iOOOOOOO .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000001 .0000010 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000003 .0000040 .06 .07 .0000000 .0000000 .0000000 .0000001 .0000010 .0000122 .07 .08 .0000000 .0000000 .0000000 .0^000003 .0000030 .0000319 .08 .09 .0000000 .0000000 .0000001 .0000007 .0000080 .000073^ .09 .10 .0000000 .0000000 .0000002 .0000018 .0000189 .0001526 .10 .11 .0000000 .0000000 .0000004 .0000045 .0000402 .0002924 .11 .12 .0000000 .0000001 .0000009 .0000098 .0000794 .0005240 .12 .13 .0000000 .0000002 .0000022 .0000198 .0001472 .0008867 .13 .14 .0000000 .0000005 .0000044 .0000379 .0002585 .0014291 .14 .15 .0000001 .0000009 .0000088 .0000688 .0004329 .0022079 .15 .16 .0000002 .0000018 .0000165 .0001193 .0006957 .0032870 .16 .0000004 .0000035 .0000296 .0001987 .0010778 .0047362 .17 .18 .0000006 .0000065 .0000510 .0003194 . 0016166 .0066279 .18 .19 .0000013 .0000116 .0000848 .0004971 .0023549 .0090351 .19 .20 .0000023 .0000200 .0001366 .0007518 .0033411 .0120281 .20 .21 .0000041 .0000332 .0002141 .0011073 .0046284 .0156705 .21 .22 .0000070 .0000537 .0003266 .0015924 .0062729 .0200164 .22 .23 .0000116 .0000848 .0004867 .0022400 .0083327 .0251065 .23 .24 .0000191 .0001306 .0007092 .0030880 .0108653 .0309658 .24 .25 .0000303 .0001970 .0010128 .0041778 .0139260 .0376002 • 2 § .26 .0000472 .0002909 .0014193 .00555^5 .0175655 .0449947 .26 .27 .0000720 .0004217 .0019544 .0072657 .0218270 .0531124 .27 .28 .0001078 .0006006 .0026474 .0093605 .0267442 .0618937 .28 .29 .0001586 .0008414 .0035313 .0118879 .0323387 .0712565 .29 • 50 .0002296 .0011607 .0046427 .0148955 .0386179 .0810976 .30 .31 .0003272 .0015780 .0060211 .0184275 .0455735 .0912939 .32 .0004596 .0021161 .0077084 .0225231 .0531796 .1017060 .32 .33 .0006367 .0028009 .0097483 .0272142 .0613923 .1121804 .33 .3^ .000.8707 .0036616 .0121852 .0325235 .0701489 .12255^2 .34 • 35 .0011758 .0047311 .0150625 .0384632 .0793684 .1326585 .35 .36 .0015693 .0060448 .0184222 .0450321 .0889523 .1423237 .36 .37 .0020711 .0076407 .0223027 .0522155 .0987860 .1513829 .38 .0027041 .0095593 .0267372 .0599828 .1087408 .1596773 .38 • 39 .0034944 .0118420 .0317522 .0682877 .1186765 .1670601 .40 .0044711 .0145311 .0373657 .0770668 .1284447 .1734004 .40 • 4JL .0056667 .0176681 .0435855 .0862406 .1378916 .1785864 .41 .42 .0071164 .0212927 .0504072 .0957138 .1468623 .1825290 .42 • jO .0088582 .0254414 .0578139 .1053758 .1552046 .1851628 . ^3 . 44 .0109321 .0301461 .0657735 .1151034 .1627726 .1864486 .44 • 45 .0133800 .0354322 .0742388 .1247625 .1694306 .1863736 .^5 • 46 .0162443 .0413169 .0831471 .1342103 .1750570 .1849514 .46 .47 J, O .0195673 .0478081 .0924192 .1432990 .179 5471 .1822213 .47 ), c% .48 .0233902 .0549017 .1019605 .1518786 .1828168 .1782464 .48 .49 .0277510 .0625815 .1116613 .1598011 .1848040 .1731122 .49 • 50 .0326843 .0708161 .1213989 .1669235 .1854706 .1669235 • 50 20 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=l8 r= 7 n-l8 r-6 n=l8 5 n=l8 r- 4 n=-l8 r- 3 n=l8 v- 2 P .01 .0000000 .0000000 .0000008 .0000266 .0007018 .0130273 .01 .02 .0000000 .0000010 .0000211 .0003689 .0048214 .0442964 .02 .03 .0000005 .0000094 .0001401 .0016182 .0139517 .0845828 .03 .04 .0000033 .0000466 .0005161 .0044234 .0283099 .1273947 .04 .05 .0000141 .0001568 .0013744 .0093268 .0472557 .1683485 .05 .06 .00004S1 .0004122 .0029805 .0166770 .0696725 .2046631 .06 .07 .0001180 .0009142 .0056044 .0265996 .09*12385 .2347550 .07 .08 .0002667 .0017893 .0094966 .0390042 .1196128 .2579150 .08 .09 .0005394 .0031814 .0148467 .0536131 .1*145568 .2740557 .09 .10 .0009986 .0052430 .0217788 .0700029 .1680072 .2835121 .10 .11 .0017211 .0081228 .0303329 .0876500 .1891117 .2868910 .11 .12 .0027947 .0119550 .0404632 .1059751 .2072402 .2849553 .12 .13 .0043159 . 0168486 .0520411 .1243839 .2219775 .2785392 .13 .14 .0063846 .0228782 .0648634 .1423023 .2331047 .2684866 .14 .15 .0090991 .0300779 .0786650 .1592031 .2405735 .2556093 .15 .16 .0125507 .0384364 .0931344 .1746270 .2444778 .2406578 .16 .17 .0168173 .0478964 .1079292 .1881960 .2450239 .2243049 .17 .18 .0219591 .0583543 .1226936 .1996206 .2425021 .2071372 .18 .19 .0280134 .0696648 .1370732 .2087018 .2372609 .1896527 .19 .20 .0349909 .0816453 .1507299 .2153283 .2296836 .1722627 .20 .21 .0428734 .0940832 •1633534 .2194714 .2201681 .1552971 .21 .22 .0516124 .1067438 .1746718 .2211753 .2091112 .1390114 .22 .23 .0611291 .1193788 ,1844582 .2205479 .1968950 .1235943 .23 .24 .0713154 .1317353 .1925361 .2177493 .1838772 .1091770 .24 .25 .0820368 .1435644 .1987815 .2129801 .1703842 .0958410 .25 .26 .0931359 .1546295 .2031227 .2064710 .1567061 .0836268 ,26 .27 .1044366 .1647132 .2055396 .1984708 .1430949 .0725412 .27 .28 .1157493 .1736240 .2060593 .1892380 .1297633 .0625644 .28 .29 .1268769 .1812007 .2047519 .1790319 .1168851 .0536563 .29 • 30 .1376201 .1873163 .2017252 .1681044 .1045983 .0457617 .30 .31 .1477837 .1918805 .1971179 .1566952 .0930061 .0388151 -31 .32 .1571819 .1948402 .1910931 .1450261 .0821815 .0327441 .32 .33 .1656438 .1961791 .1838322 .1332983 .0721695 .0274737 .33 .34 .1730177 .1959170 .1755276 .1216892 .0629921 .0229273 .34 .35 .1791753 .1941065 .1663770 .1103521 .0546506 .0190301 • 35 • 36 .1840145 .1908298 .1565784 .0994148 .0471299 .0157100 .36 .37 .1874618 .1861952 .1463239 .0889808 .0404020 .0128987 .38 .1894735 .1803323 .1357967 .0791297 .034-4284 .0105324 .38 .39 .1900357 .1733873 .1251671 .0699194 .0291630 .0085526 .39 .40 .1891639 .1655185 .1145898 .0613873 .0245549 .0069061 .40 • 41 .1869020 .1568913 .1042017 .0535532 .0205505 .0055448 .41 .42 .1833191 .1476737 .0941217 .0464206 .0170945 .0044263 .42 * J3 .1785079 .1380322 .0844491 .0399800 .0141325 .0035126 . 45 .44 .1725806 .1281279 .0752640 .0342109 .0116110 .0027708 .44 • 45 .1656655 .1181133 .0666281 .0290836 .0094791 .0021723 • 45 .46 .1579032 .1081294 .0585851 .0245621 .0076890 .0016924 .46 .47 j, 0 .1494425 .0983036 .0511629 .0206051 .0061961 .0013101 .47 O .48 .1404366 .0887481 .0443741 .0171685 .0049598 .0010075 . 4o .49 .1310386 .0795592 .0382184 .0142065 .0039430 .0007695 .49 • 50 .1213989 .0708161 .0326843 .0116730 .0031128 .OOO5836 .50 29 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=l8 1 = 1 11=0.8 0 n-19 r= 18 n-19 r=3.7 n-=19 r-16 n-19 r?i5 p .01 .1517297 .8345138 .0000000 .0000000 .0000000 .0000000 .01 .02 .2553559 .6954553 .0000000 .0000000 .0000000 .0000000 .02 .03 .3217460 .5779513 .0000000 .0000000 .0000000 .0000000 .03 .04 .3597025 .4796033 .0000000 .0000000 .0000000 .0000000 .04 .05 .3763083 .3972143 .000O000 .00.00000 .0000000 .0000000 .05 .06 .3772223 .328323c .0000000 .0000000 .0000000 .0000000 .06 .07 .3669278 .2708277 .0000000 .0000000 .0000000 .0000000 .07 .08 .3.489438 . £229364 .0000000 .0060000 .0000000 .0000000 .08 .09 .3260008 .4831239 .o'oooooo .0000000 .0000000 .0000000 .09 .10 .3001893 .1500946 .0000000 .0000000 .0000000 .0000000 .10 .11 .2730834 .1227496 .o'oooooo .0000000 .0000000 .0000000 .11 .12 .2458437 .IOOI586 .0000000 .6000000 .0000000 .0000000 .12 .13 .2193022 .0815355 .0000000 .0000000 .0000000 .0000000 .13 .14 .1940324 .0662174 .0000000 .0000000 .0000000 .0000000 .14 .15 .4704063 .0.536464 .0000000 .0000000 .0000000 .0000000 .15 .16 .1486416 .0.433538 .o'oooooo .0000000 .0000000 .0000000 .16 .17 .1288394 .0349467 .0000000 .6000000 .0000000 .0000000 .17 .18 .4110147 .0280963 .Q000000 .0000000 .0000000 .0000000 .18 .19 .0951199 .0225284 .0000000 .0000000 .0000000 .0000000 .19 .20 .0810648 .0180144 .o’oooooo .0006000 .0000000 .0000001 .20 .21 .Q6873IO .0143644 .0000000 .6006000 .0000000 .0000001 .21 .22 .0,579833 .0114210 .0000000 .6000000 .0000000 .0000002 .22 .23 .0486792 .0090538 .0000000 .0000000 .0000000 .0000004 .23 .24 .0406738 .0071556 .6000000 .0000000 .0000001 .0000006 .24 .25 .0338263 .0056377 .6000000 .6000000 .0000001 .0000011 •25 .26 .0280018 .0044276 .6000000 .0000000 .0000002 .0000019 , 26 .27 .0.230741 .0034659 .0000000 .0000000 .0000003 .0000033 .27 .28 .0189270 .Q027039 .0000000 .0000000 .0000006 .0000053 .28 .29 .0154548 .0021021 .0000000 .0000001 .0000008 .0000085 .29 .50 .0125621 .0016284 . Q000000 .0000001 .0000014 .0000134 .30 .51 .0101640 .0012569 .0000000 .0000002 .0000023 .0000206 -31 .52 .0081861 .0009664 .0000000 .0000003 .0000037 .0000313 .32 .55 .0065623 .0,007402 .0000000 .0000005 .0000058 .0000468 .33 .54 .0052359 .0005647 . 0.000000 .0000009 .0000088 .0000690 .34 .55 .0041578 .0004290 .0000001 .0000013 .0000135 .0001002 .35 .56 .0.032858 .0003245 .0000001 .0000020 .0000203 .0001437 • 36 .57 .0.025838 .Q002444 . Q000002 .0000031 .0000299 .0002036 'll .58 .0020216 .OOOI833 .0000003 .0000048 .0000436 .0002849 .38 .59 • 0.015737 .0001368 .0000005 .0000071 .0000630 .0003942 .40 .0012187 .0001016 .0000008 .0600106 .0000899 .0005394 .40 .41 .0009388 .0000750 .0000012 .0000156 .0001269 .0007304 .41 .42 .0007191 .0000552 .0000018 .0000226 .0001773 .0009791 .42 • 43 .0005478 .qooo 403 .0000027 .6000327 .0002451 .0012999 .43 .44 .0004149 .0000293 .0000040 .0000466 .0003358 .0017098 .44 .45 .0003124 .0000212 .0000059 .6000659 .0004558 .0022285 • 45 .46 .OOO2338 .0000152 .0000087 .6000922 .0006132 .0028796 .46 .47 .0001738 .0000109 .Q000126 .6001280 .0008179 .0036894 .47 .48 .0001284 .0000077 .0000181 .0001762 .0010819 .0046883 .48 .49 .0000943 .0000054 .0000257 .0002407 .0014196 .0059103 .49 . 50 .0000687 .0000038 .0000362 .0003262 .0018482 .0073929 .50 30 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=19 r=i4 n=19 r-13 n=19 r=12 n=19 r-11 n=19 r=10 n-19 r= 9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000018 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000005 .0000054 .08 .09 .0000000 .0000000 .0000000 .0000001 .0000014 .0000139 .09 .10 .0000000 .0000000 .0000000 .0000004 .0000035 .0000322 .10 .11 .0000000 .0000000 .0000001 .0000008 .0000084 .0000679 .11 .12 .0000000 .0000000 .0000002 ..0000020 .0000181 .0001328 .12 .13 .0000000 .0000000 .0000005 .0000044 .0000364 .0002434 .13 .14 .0000000 .0000001 .0000010 .0000091 .0000688 .0004224 .14 .13 .0000000 .0000002 .0000021 .0000178 .0001234 .0006992 .15 .16 .0000000 .0000005 .0000042 .0000329 .0002115 .0011103 .16 .17 .0000001 .0000009 .6000079 .0000584 .0003481 .0016998 .17 .18 .0000002 .0000017 .0000145 .0000993 .0005529 .0025186 .18 .19 .0000004 .0000032 .0000255 .0001631 .0008501 .0036241 .19 .20 .0000006 .0000058 .0000433 .0002597 .0012696 .0050786 .20 .21 .0000012 .0000102 .0000711 .0004017 .0018467 .0069473 .21 .22 .0000021 .0000173 .0001138 .0006051 .0026220 .0092965 .22 .23 .0000036 .0000285 .0001773 .0008899 .0036413 .0121907 .23 .24 .0000062 .0000458 .0002695 .0012802 .0049545 .0156894 .24 .25 .0000103 .0000720 .0004009 .0018040 .0066149 .0198445 .25 .26 .0000167 .0001105 .0005843 .0024945 .0086773 .0246971 ,26 -.27 .0000263 .0001664 .0008356 .0033884 .0111973 .0302741 .27 .28 .0000409 .0002458 .0011737 .0045270 .0142280 .0365860 .28 .29 .0000625 .0003566 .0016220 .0059542 .0178186 .0436249 .29 • 30 .0000935 .0005089 .0022053 .0077186 .0220122 .0513618 .30 .31 .0001377 .0007149 .0029554 .0098671 .0268428 .0597468 .31 .32 .0001996 .0009897 .0039056 .0124491 .0323332 .9687080 • 32 .33 .0002852 .0013508 .0050935 .0155121 .0384930 .0781523 • 33 .34 .0004017 .0018196 .0065597 .0191002 .0453162 .0879666 .34 .35 .0005585 .0024202 .0083471 .0232527 .0527800 .0980200 • 35 .36 .0007667 .0031805 .0105007 .0280018 .0608434 .1081660 .36 •37 .0010400 .0041319 .0130656 .0333705 .0694465 .1182469 .37 .38 .0013946 .0053090 .0160869 .0393706 .0785108 .1280967 .38 .39 .0018495 .0067500 .0196070 .0460010 .0879393 .1375462 .39 .40 .0024271 .0084951 .0236650 .0532462 .0976179 .1464270 .40 .41 .0031531 .0105873 .0282942 .0610740 .1074176 .1545765 .41 .42 .0040564 .0130704 .0335208 .0694360 .1171962 .1618423 .42 •ft .0051694 .0159890 .0393616 .0782655 .1268022 .1680866 .43 .44 .0065280 .0193863 .0458221 .0874787 .1360779 .1731900 .44 .45 .0081714 .0233035 .0528951 .0969745 .1448632 .1770549 .45 .46 .47 .0101411 .0124812 .0277777 .0328404 .0605588 .0687753 .1066362 .1163327 .1529997 .1603356 .1796084 .1808040 .46 .47 .48 .0152370 .0385157 .0774900 .1259211 .1667290 .1806230 .48 .49 .0184544 .0448179 .0866306 .1352499 .1720524 .1790751 .49 .50 .0221787 .0517501 .0961075 .1441612 .1761971 .1761971 .50 31 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=19 r= 8 n=19 r= 7 n=19 r- g n-19 r- 5 n-19 r= 4 n=19 r= 3 P .01 .0000000 .0000000 .0000000 .0000010 .0000334 .0008250 .01 .02 .0000000 .0000001 .0000013 .0000280 .0004581 .0056108 .02 .03 .0000000 .0000008 .0000133 .0001845 .OOI9885. .0160707 .03 .04 .0000003 .0000051 .0000654 .0006723 .0053789 .0322733 .04 .05 .0000017 .0000213 .0002176 .0017721 .0112232 .0533104 .05 .06 .0000065 .0000671 .0005663 .0038023 .0198567 .0777720 .06 .07 .0000197 .0001737 .0012426 .0070755 .0313343 .1040747 .07 .08 .0000507 .OOO3885 .0024058 .0118573 .0454528 .1306770 .08 .09 .0001153 .0007772 .0042313 .0183357 .0617980 .1562117 .09 .10 .0002372 .0014231 .0068966 .0266012 .0798034 .1795576 .10 .11 .0004497 .0024252 .0105659 .0366378 .0988108 .1998674 .11 .12 .0007965 .0038939 .0153760 .0483246 .1181270 . 2165660 .12 .13 .0013325 .0059451 .0214236 .0614457 .1370711 .2293305 .13 .14 .0021229 .0086937 .0287561 .0757048 .1550146 .2380582 .14 .15 .0032416 .0122459 .0373659 .0907458 .1714086 .2428289 .15 .16 .0047693 .0156923 .0471881 .1061732 .1858032 .2438665 .16 .17 .0067900 .0221007 .0581019 .1215746 .1978568 .2415016 .17 .18 .0093875 .0285102 .0699354 .1365405 .2073393 .2361364 .18 .19 .0126411 .0359271 .0824724 .1506827 .2141280 .2282153 .19 .20 .0166206 .0443218 .0954622 .1636496 .2181994 .2181994 .20 .21 .0213831 .0536274 .1086300 .1751582 .2196177 .2065452 .21 .22 .0269675 .0637413 .1216880 .1849026 .2185211 .1936893 .22 .23 .0333917 .0745265 .1343471 .1927588 .2151078 .1800358 .23 .24 .0406497 .0858I6I .1463275 .1985874 .2096199 .1659492 .24 .25 .0487094 .0974187 .1573687 .2023311 .2023312 .1517483 .25 .26 .0575115 .1091242 .1672377 •2039933 .1935321 .1377055 .26 .27 .0669699 .1207II3 .1757363 .2036310 .1835193 .1240455 .27 .28 .0769733 .13195^3 .1827058 .2013493 .1725851 .1109476 .28 .29 .0873864 .1426308 .1880305 .1972931 .1610093 .0985489 .29 .30 .0980543 .1525290 .1916390 .1916390 .1490525 .0869473 .30 .31 .1088058 .1614537 .1935041 .1845868 .1369516 .0762069 -31 .32 .1194583 .1692326 .1936411 .1763517 .1249158 .0663615 .32 .33 .1298234 .1757204 .1921047 .1671560 .1131257 .0574199 .33 .34 .1397118 .1808035 .1889846 .1572225 .1017322 .0493701 .34 .35 .1489394 .1844012 .1844012 .1467682 .09085.66 .0421834 • 35 • 36 .1573323 .1864680 .1784993 .1359995 .0805922 .0358188 .36 • H .1647321 .1869932 .1714428 .1251069 .0710066 .0^02258 .38 .1709999 .1859998 .1634088 .114263 2 .0621432 .0253479 .38 .39 .1760205 .1835429 .1545814 .1036205 .0540244 .0211249 * Jo .40 .1797057 .1797058 .1451470 .0933088 .0466544 .0174954 .40 .41 .1819957 .1745976 .1352886 .0834358 .0400221 .0143981 .41 .42 .1828608 .1683480 .1251819 .0740873 .0341036 .0117739 .42 j 1. .1823012 .1611033 .1149915 .0653274 .0288656 .0095659 .43 till . 44 .1803467 .1530214 .1048678 .0572006 .0242669 .0077213 .44 .45 .1770550 .1442670 .0949449 .0497331 .0202616 .0061911 .45 .46 .1725093 .1350072 .0853390 .0429346 .0168004 .0049306 .46 .47 1, O .1668153 .1254072 .0761474 .0368008 .0138329 .0038997 )iQ .48 .1600977 .1156261 .0674-486 .0313154 .0113083 .0030627 . 4o .49 .1524961 .1058137 .0593022 .0264526 .0091774 .0023880 .49 • 50 .1441612 .0961075 .0517501 .0221787 .0073929 .0018482 • 30 3B BINOMIAL DISTRIBUTION Table 1 - Individual Terms q “- r p n=l9 r= 2 n=19 r= 1 n*l9 r= 0 n=20 r=19 n=20 r=l8 n=20 r=17 p .01 .0144144 .1585576 .8261686 .0000000 .0000000 .0000000 ..01 .02 .0485176 .2641515 .6812326 .0000000 .0000000 .0000000 .02 .03 .0916977 .3294322 .5606127 .0000000 .0000000 .0000000 .03 .04 .1366870 .3644985 .4604192 .0000000 .0000000 .0000000 .04 .05 .1787464 .5775556 •3773536 .0000000 .0000000 .0000000 .05 .06 i .2150167 .3742882 .3086237 .0000000 .0000000 .0000000 .06 .07 .2440070 .3602008 .2518698 .0000000 .0000000 .0000000 .07 .08 .2651973 .3388633 .2051014 .0000000 .0000000 .0000000 .08 .09 : .2787307 .3131419 .1666428 .0000000 .0000000 .0000000 .09 .10 .2851798 .2851798 .1350852 .0000000 .0000000 .0000000 .10 .11 | .2853722 .2565466 .1092472 .0000000 .0000000 .0000000 .11 .12 1 .2802618 .22836I6 .0881395 .0000000 .0000000 .0000000 .12 .13 .2708384 .2013925 .0709359 .0000000 .0000000 .0000000 .13 .3.4 .2580631 .1761382 .0569470 .0000000 .0000000 .0000000 .14 .15 .2428289 .1528923 .0455994 .0000000 .0000000 .0000000 .15 .16, .2259353 .1317955- .0364172 .0000000 .0000000 .0000000 .16 .17 1 .2080758 .1128777 .0290057 .0000000 .0000000 .0000000 .17 .18 .I89835I .0960894 .0230390 .0000000 .0000000 .0000000 .18 .19 .1716915 .0813275 .0182480 .0000000 .0000000 .0000000 .19 .20 .1540231 .0684547 .0144115 .0000000 .0000000 .0000000 .20 .21 .1371182 .0573140 ,0113479 .0000000 .0000000 .0000000 .21 .22 .1211852 .0477396 .0089084 .0000000 .0000000 .0000000 .22 .23 .IO63638 .0395653 .0069715 .0000000 .0000000 .0000000 *23 .24 .0927362 .0326295 .0054382 .0000000 .0000000 .0000000 .24 .23 .0803374 .0267791 .0042283 .0000000 .0000000 .0000000 .25 .26 .0691643 .0218725 .0032764 .0000060 .0000000 .0000001 ,26 .27 .0591850 .0177799 .0025301 .0000000 .0000000 .0000001 • 2 z .28 .0503^60 .0143845 .0019468 .0000000 .0000000 .0000002 .28 .29 .0425778 .0115825 .0014925 .0000000 .0000000 .0000003 .29 .30 .0358019 .0092819 .0011399 .0000000 .0000000 .0000005 .50 .31 .0299332 .0074029 ,0008672 .0000000 .0000001 .0000008 .32 .0248856 .0058757 .0006572 .0000000 .0000001 .0000014 .32 .33 .0205729 .0046411 .0004959 .0000000 .0000002 .0000022 .34 .0169122 .0036477 .0003727 .0000000 .0000003 .0000036 .34 .35 .0138248 .0028528 .0002788 .0000000 .0000005 .0000056 .35 .36 .OII2373 .0Q22197 .0002077 .0000000 .0000009 .0000085 .36 .37 .0090822 .0017182 .0001540 .0000001 .0000013 .0000130 •37 .38 .0072983 .OOI323I .0001136 .0000001 .0000020 .0000195 .38 .39 .0058308 .0010134 .0000834 .0000002 .0000031 .0000289 •39 .40 .0046311 .0007719 .0000609 .0000003 .0000047 .0000423 .40 .0036564 .0005846 .0000443 .0000005 .0000071 .0000612 .41 .42 .0028692 .0004403 .0000320 .0000008 .0000106 .0000876 .42 • 43 .0022377 .0003296 .0000230 .0000013 .0000156 .0001240 . 43 t, h . 44 .0017342 .0002453 .0000164 .0000019 .0000227 .0001739 .44 •**5 .0013355 .0001813 .0000117 .0000029 .0000329 .0002413 • 45 .46 .0010214 .0001333 .0000082 .0000042 .0000471 .0003319 .46 .47 .0007760 .0000972 .0000058 .0000062 .0000669 .0004522 i47 1 ,0 .48 .OOO5855 .0000705 .0000040 .0000092 .0000939 .0006110 . 4o .49 .0004386 .0000507 .0000028 .0000133 .0001310 .0008184 .49 .50 .0003262 .0000362 .0000019 .0000190 .0001812 .0010872 .50 33 BINOMIAL DISTRIBUTION Table 1 - Individual Terms qn - r p n=20 r-l6 n=20 r-15 n=20 r-14 n=20 r=l3 n=20 r=12 n=20 r=ll p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 . .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .000000c .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .6000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0006600 .0000000 .0000000 .0000002 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000002 .0000016 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000004 .0000040 .12 .13 .0000000 .0000000 .0000000 .0000001 .0000010 .0000086 .13 .14 .0000000 .0000000 .0000000 .0000002 .0000022 .0000175 .14 .15 .0000000 .0000000 .0000000 .0000005 .0000045 .0000336 .15 .16 .0000000 .0000000 .0000001 .0000010 .0000088 .0000615 .16 .17 .0000000 .0000000 .0000002 .0000021 .0000165 .0001077 .17 .18 .0000000 .0000000 .0000005 ,0000040 .0000298 .0001809 .18 .19 .0000000 .0000001 .0000009 .0000074 .0000517 .0002937 .19 .20 .0000000 .0000002 .0000016 .0000134 .0000865 .0004617 .20 .21 .0000000 .0000004 .0000030 .0000230 .0001406 .0007051 .21 .22 .0000001 .dooooo6 .0000054 .0000385 .0002219 .0010488 .22 .23 .0000001 .0000011 .0000094 .0000627 .0003411 .0015228 .23 .24 .0000002 .0000020 .0000157 .0000995 .0005121 .0021619 .24 .25 .0000004 .0000034 .0000257 .0001542 .0007517 .0030067 .25 .26 .0000006 .0000058 .0000410 .0002337 .0010810 .0041020 ,26 .27 .0000011 .0000095 .0000642 .0003470 .0015248 .0054969 .27 .28 .0000018 .0000153 .0000983 .0005056 .0021127 .0072433 .28 .29 .0000031 .0000241 .0001478 .0007234 .0028781 .0093953 .29 • 30 .0000051 .0000373 .0002181 .0010179 .0038593 .0120066 .30 .31 .0000080 .0000569 .6003166 •0014095 .0050980 .0151295 -31 .32 .0000125 .0000852 .0004524 .0019228 .0066395 .0188120 .32 .33 .0000193 .0001255 .0006368 .0025860 .0085316 .0230958 ,33 • 34 .0000293 .0001321 .0008838 .0034312 .0108235 .0280136 .34 .35 .0000438 .0002607 .0012101 .0044946 .0135641 .0335872 .35 • 36 .0000647 .0003680 .0016357 .0058158 .0168010 .0398248 .36 .37 .0000941 .0005131 .0021840 .0074374 .0205784 .0467186 •31 .38 .0001354 .0007065 .0028821 .0094047 •0249346 .0542439 .38 .39 .0001922 .0009617 .0037607 .0117642 .0299007 .0623570 .40 .0002697 .0012945 .0048544 .0145630 .0354975 .0709948 .40 .41 .0003744 .0017237 .0062011 .0178471 .0417339 .0800749 .41 .42 .0005140 .0022716 .0078423 .0216596 .0486051 .0894953 .42 • ^3 .0006987 .0029638 .0098218 .0260392 .0560902 .0991363 .43 .44 .0009403 .0038298 .0121857 .0310180 .0641510 .1088624 .44 -*5 .0012535 .0049029 .0149808 .0366:97 .0727309 .1185244 .45 . 46 .0016557 .0062199 .0182539 .0428570 .0817544 .1279635 .46 .47 .0021675 .0078216 .0220500 .0497298 .0911273 .1370141 .47 .48 .0028130 .0097517 .0264107 .0572234 .1007369 .1455089 .48 .49 .0036200 .0120569 .0313726 .0653061 .1104541 .1532831 .49 .50 .0046206 .0147857 .0369644 .0739289 .1201343 .1601792 .50 34 BINOMIAL DISTRIBUTION Table 1 - Individual Terms l?)p r c n-r p n=20 r-lo n=20 v- 9 n=20 r= 8 n=20 r= 7 n=20 r= 6 n-20 r-5 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000014 .01 .02 .0000000 .0000000 .0000000 .0000001 .0000018 .0000367 .02 .03 .0000000 .0000000 .0000001 .0000011 .0000184 .0002386 .03 .04 .0000000 .0000000 .0000005 .0000075 .0000897 .0008606 .04 .05 .0000000 .0000002 .0000027 .0000310 .0002954 .0022446 .05 .06 .0000001 .0000008 .0000101 .0000971 .0007604 .0047656 .06 .07 .0000003 .0000030 .0000304 .0002485 .0016510 .0087736 .07 .08 .0000008 .0000090 .0000777 .0005499 .0031620 .0145449 .08 .09 .0000026 .0000230 .0001749 .0010880 .0055007 .0222473 .09 .10 .0000065 .0000527 .0003557 .0019705 .0088670 .0319214 .10 .11 .0000150 .0001099 .0005659 .0033208 .OI34338 .0434768 .11 .12 .0000318 .0002124 .0011682 .0052718 .0193299 .0567009 .12 .13 .0000632 .0003850 .0019322 .0079573 .0256254 .0712770 .13 .14 .0001182 .0006605 .0030428 .0115024 .0353289 .0868082 .14 .15 .0002098 .0010805 .0045922 .0160140 .0453729 .1028452 .15 .16 .0003553 .0016958 .0066769 .0215717 .0566257 .1189140 .16 .3.7 .0005779 .0025651 .0093928 .0282209 .0688923 .1345426 .17 .18 .0009067 .0037550 .0128296 .0359658 .0819243 .1.492843 .18 .19 .0013771 .0053373 .0170654 .0447708 .0954323 .1627373 .19 .20 .0020314 .0073870 .0221609 .0545498 .1090997 .1745595 .20 .21 .0029178 .0099788 .0281544 .0651780 .1225968 .1844788 .21 .22 .0040905 .0131841 .0350577 .0764896 .1355952 .1922986 .22 .23 .0056077 .0170669 .0428527 .0882852 .1477818 .1978991 *23 .24 .0075309 .0216799 .0514897 .1003388 .1588699 .2012352 .24 • 25 .0099223 .0270608 .0608867 .1124062 .1686092 .2023312 .25 .26 .0128425 .0332288 .0709308 .1242337 .1767942 .2012733 ,26 .27 .0163480 .0401820 .0814801 .1355680 .1832679 .1982008 .27 .28 .0204882 .0478945 .0923679 .1461647 .1879260 .1932953 .28 .29 .0253024 .0563157 .1034074 .1557967 .1907166 .1867708 .29 • 50 .0308171 .0653696 .1143967 .1642620 .1916390 .1788630 .30 .31 .0370430 .0749551 .1251266 .1713893 .1907398 .1698199 -31 .32 .0439732 .0849481 .1353860 .1770433 .1881085 .1598923 .32 .33 .0515806 .0952037 .1449694 .1811272 .1838716 .1493261 .33 .34 .0598173 .1055600 .1536830 .1835851 .1781855 .1383558 • 34 .35 .0686140 .1158418 .1613510 .1844012 .1712297 .1271991 • 35 • 36 .0778795 .1258659 .1678212 .1835993 .1631993 .1160529 .36 .37 .0875027 .1354463 .1729687 .1812396 .1542985 .1050898 •37 .38 .0973535 .1443998 .1765999 .1774152 .1447335 .0944576 .38 .39 .1072859 .1525512 .1789542 .1722479 .1347067 .0842780 *? 9 .40 .1171416 .1597385 .1797058 .1658822 .1244117 .0746470 .40 .41 .1257527 .1658184 .1789626 .1584809 .1140289 . 0.655362 .41 .42 .1359475 .1706701 .1767655 .1502182 .1037222 .0572941 .42 .43 .1445545 .1741989 .1731861 .1412753 .0936359 .0496488 .43 .44 .1524072 .1763389 .1683236 .1318338 .0838943 .0427098 .44 .45 .1593494 .1770550 .1623003 .1220721 .0745996 .0364709 .45 .46 .1652397 .1763428 .1552583 .1121599 .0658329 .0309129 .46 .47 .1599557 .1742293 .1473535 .1022551 .0576545 .0260058 .47 .48 .1733981 .1707709 .1387513 .0925009 .0501047 .0217120 .48 .49 .1754935 .1660514 .1296217 .0830231 .0432058 .0179878 .49 .50 .1761970 .1501792 .1201343 .0739289 .0369644 .0147857 .50 35 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q a-r p n*20 r= 4 n=20 r= 3 n=20 v - 2 n=20 r« 1 n-20 r- 0 n=21 r-20 p .01 '.0000412 .0009610 .0158557 .1652338 .8179069 .0000000 .01 .02 .0005511 .0064690 .0528303 .2724930 .6676080 .0000000 .02 .03 .0024106 .0183396 .0988296 .3363677 .5437943 .0000000 .03 .04 .0064546 .0364499 .1457994 .3683354 .4420024 .0000000 .04 • 05 .0133276 .0595822 .1886768 .3773536 .3584859 .0000000 .05 .06 .0233316 .0860067 .2245730 .3703484 .2901062 .0000000 .06 .07 .0364261 .II387OO .2521406 .3526176 .2342389 .0000000 .07 .08 .0522708 .1414386 .2710906 .3281623 .1885933 .0000000 .08 .09 .0702953 .1672384 .2818277 .2999570 .1516449 .0000000 .09 .10 .0897788 .1901199 .2851798 .2701703 .1215767 .0000000 .10 .11 .1099270 .2092729 .2822014 .2403437 .0972300 .0000000 .11 .12 .1299395 .2242095 .2740338 .21153^9 .0775628 .0000000 .12 .15 .1490649 .2347255 .2618104 .1844332 .0517142 .0000000 .13 .14 .1666408 .2408588 .2465936 .1594515 .0489744 .0000000 .14 .15 .1821216 .2428289 .2293384 .1367984 .0387595 .0000000 .15 .16 .1950933 .2409976 .2108729 .1165350 .0305904 .0000000 .16 .17 .2052764 .2358192 .1918921 .0986194 .0240748 .0000000 .17 .18 .2125227 .2278022 .1729609 .0829403 .0188920 .0000000 .18 .19 .2158046 .2174758 .1545223 .0693424 .0147809 .0000000 .19 .20 .2181994 .2053642 .1369094 .0576461 .0115292 .0000000 .26 .21 .2168725 .1919655 .1203594 .0476611 .0089648 .0000000 .21 .22 .2130582 .1777383 ,1050272 .0391968 .0069485 .0000000 .22 .23 .2070412 .1630913 .0910002 .0320687 .0053680 .0000000 .23 .24 .1991389 .1483781 .0783106 .0261035 .0041331 .0000000 .24 .25 .1896855 .1338956 .0669478 .0211414 .0031712 .0000000 .25 .26 .1790172 .1198848 .0568684 .0170375 .0024246 .0000000 ,26 .27 .1674614 .1065331 .0480057 .0136624 .0018470 .0000000 .27 .28 .1553266 .0939792 .0402767 .0109020 .0014017 .0000000 .28 .29 .1428958 .0823172 .0335893 .0086563 .0010597 .0000000 .29 • 30 .1304210 .0716037 .0278458 .0068394 .0007979 .0000000 .30 .31 .1181207 .0618621 .0229488 .0053768 .0005984 .0000000 -31 .32 .1061784 .0530892 ,0188024 .0042058 .0004469 .0000000 .32 .33 .0947428 .0452604 .0153154 .0032731 .0003323 .0000000 .33 .34 .0839290 .0383344 .0124023 .0025342 .0002460 .0000000 .34 .35 .0738210 .0322579 .0099846 .0019519 .0001812 .0000000 .35 .36 .0644738 .0269595 .0079909 .0014954 .0001329 .0000000 .36 .37 .0559178 .0224026 .0063575 .0011395 .0000970 .0000000 •n .38 .0481610 .0184890 .0050278 .0008635 .0000704 .0000001 .38 .39 .0411936 .0151602 .0039520 .0006507 .0000509 .0.000001 .40 .0349908 .0123497 .0030875 .0004874 .OOOO366 .0000001 .40 .41 .0295152 .0099941 .0023969 .0003631 .0000261 .0000002 .41 .42 .0247251 .0080340 .0018491 .0002687 .0000186 .0000004 .42 • 43 .0205667 .0064148 .0014172 .0001978 .0000131 .0000666 .43 .44 .OI69868 .0050870 .0010790 .0001446 .0000092 .0000009 .44 • 45 .0139299 .0040060 .0008160 .0001050 .0000064 .0000013 .45 .46 .0113403 .0031324 .0006128 .0000758 .0000044 .0000020 .46 .47 .0091643 .0024316 .0004570 .0000542 .0000031 .0000031 .47 .48 .0073504 .0018736 .OOO3383 .OOOO386 .0000021 .0000046 .48 .49 .0058506 .0014328 .0002486 .0000272 .0000014 .0060068 .49 .50 .0046206 .0010872 .0001812 .0000190 .0000010 .0000100 .50 36 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n-21 r=19 n-21 r-18 n=21 r=17 n=21 r*l6 n=21 r=15 n=21 r*l4 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 . 0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000003 .0000021 .19 .20 .0000000 .0000000 ,0000000 .0000000 .0000005 .0000040 .20 .21 .0000000 .0000000 .0000000 .0000001 .0000009 .0000072 .21 .22 .0000000 .0000000 .0000000 .0000002 .0000017 .0000127 .22 .23 .0000000 .0000000 .0000000 .0000004 .0000030 .0000216 *23 .24 .0000000 .0000000 .0000001 .0000006 .0000053 .0000358 .24 .25 .0000000 .0000000 .0000001 .0000011 .0000090 .0000579 .25 .26 .0000000 .0000000 .0000002 .0000020 .0000149 .0000912 ,26 .27 .0000000 .0000000 .0000004 .0000034 .0000242 .0001406 .27 .28 .0000000 .0000001 .0000006 .0000056 .0000386 .0002123 .28 .29 .0000000 .0000001 .0000011 .0000092 .0000600 .0003147 .29 .30 .0000000 .0000002 .0000018 .0000148 .0000916 .0004580 .30 .31 .0000000 .0000003 .0000031 .0000231 .0001375 .0006554 .31 .32 .0000000 .0000006 .0000049 .0000358 .0002027 .0009229 .32 .33 .0000001 .0000008 .0000079 .0000543 .0002943 .0012800 .33 .34 .0000001 .0000014 .0000123 .0000813 .0004207 .0017499 .34 • 35 .0000002 .0000023 .0000189 .0001198 .0005929 .0023597 .35 .36 .0000003 .0000036 .0000288 .0001739 .0008244 .0031405 .36 .37 .0000006 .0000056 .0000430 .0002492 .0011313 .0041277 •37 .38 .0000008 .0000086 .0000636 .0003524 .0015332 .0053607 .38 .39 .0000013 .0000132 .0000925 .0004923 .0020534 .0068820 .39 .40 .0000021 .0000198 .0001332 .0006795 .0027185 .0087378 .40 . 41 .0000032 .0000293 .0001896 .0009276 .0035594 .0109760 .41 .42 .0000049 .0000429 .0002667 .0012522 .0046112 .0136456 .42 * 43 .0000074 .0000622 .0003711 .0016727 .0059127 .0167953 .43 .44 .0000111 .0000892 .0005111 .0022117 .0075064 .0204719 .44 .45 .0000164 .0001267 .0006968 .0028957 .009*079 .0247183 .45 • 46 .0000240 .0001781 .0009408 .0037553 .0117555 .0295713 . 46 .47 .0060347 .0002480 .0012585 .0048249 .0145089 .0350595 .47 .48 .0Q00499 .0003421 .0016679 .0061436 .0177480 .0412008 .48 .49 .0000710 .000*1678 .0021912 .0077541 .0215216 .0480000 .49 . 50 .0001001 -- .0006342 .0028539 .0097031 .0258751 .0554467 • 50 37 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p n=21 r*13 n-21 r=12 n-21 r-H n=21 r-10 n=21 r= 9 n-21 r= 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000008 .04 • 05 .0000000 .0000000 .0000000 .0000000 .0000003 .0000041 .05 .06 .0000000 .0000000 .0000000 .0000001 .0000014 .0000153 .06 .07 .0000000 .0000000 .0000000 .0000005 .0000049 .0000457 .07 .08 .0000000 .0000000 .0000001 .0000016 .0000145 .0001154 .08 .09 .0000000 .0000000 .0000005 .0000043 .0000367 .0002571 .09 .10 .0000000 .0000001 .0000013 .0000110 .0000830 .0005173 .10 .11 .0000000 .0000004 .0000031 .0000254 .0001712 .0009588 .11 .12 .0000001 .0000008 .0000073 .0000535 .0003271 . 0016606 .12 .13 .0000002 .0000020 .0000157 .0001051 .0005861 .0027154 .13 .14 .0000005 .0000043 .0000316 .0001942 .0009940 .0042271 .14 .15 .OOOO011 .0000088 .0000601 .0003404 .0016072 .0063055 .15 .16 .0000022 .0000173 .0001085 .0005698 .0024927 .0090601 .16 .17 .0000045 .0000320 .0001876 .0009157 .0037259 .0125936 .17 .18 .0000087 .0000570 .0003115 .0014194 .0053885 .0169943 .18 .19 .0000158 .0000977 .0004995 .0021296 .0075657 .0223294 .19 .20 .0000280 .0001616 .0007756 .0031025 .0103418 .0286386 .20 .21 .0000477 .0002592 .0011697 .0044007 .0137957 .0359293 .21 .22 .0000788 .0004038 .0017180 .0060911 .0179963 .0441727 .22 .23 .0001268 .0006129 .0024623 .0082433 .0229976 .0533022 .24 .0001985 .0009080 .0034506 .0109266 .0288342 .0632135 .24 .23 .0003035 .0013155 .0047356 .0142069 .0355172 .0737656 .25 .26 .0004540 .0018654 .0063745 .0181430 .0430313 .0847895 ,26 .27 .0006650 .0025973 .0084266 .0227832 .0513325 .0960838 .27 .28 .0009556 .0035492 .0109519 .0281619 .0603471 .1074310 .28 .29 .0013483 .0047681 .0140083 .0342963 .0699723 .1185002 .29 • 30 .0018703 .0063035 .0176497 .0411829 .0800777 .1293553 .30 .31 .0025529 .0082078 .0219227 .0487958 .0905082 .1394681 .31 .32 .0.034321 .0105348 .0268635 .0570852 .1010882 .1487164 .32 .33 .0045480 .0133378 .0324958 .0659762 .1116264 .1569015 • 33 .34 .0059446 .0160681 .0388269 .0753698 .1219218 .1538497 .34 .35 .0076689 .0205722 .0458466 .0851437 .-1317700 .1694186 .35 • 36 .0097705 .0250896 .0535244 .0951546 ,1409699 .1735013 • 36 •37 .0122996 .0302503 .0618087 .1052418 .1493297 .1760289 •37 .38 .0153060 .0360722 .0706255 .1152311 .1566739 .1769717 .38 .39 .0188375 .0425586 .0798793 .1249394 .1628483 .1763388 .39 .40 .0229368 •0496964 .0894536 .1341803 .1677254 .1741764 .40 .41 .0276407 .0574537 .0992128 .1427697 .1.712075 .1705650 .41 .42 .0329767 .0657790 .1090053 .1505310 .1732301 .1656156 .42 *?? .0389612 .0746000 . 1186661 .1573016 .1737634 .1594645 .43 .44 .0455966 .0838240 .1280220 .1629372 .1728122 .1522681 .44 .^5 .0528698 .0933379 .1368957 .1673169 .1704154 .1441977 .45 .46 .0607498 .1030106 .1451105 .1703472 .1666439 .1354330 .46 .47 .0691866 .1126941 .1524966 .1719644 .1615976 .1261573 .47 .48 .0781099 .1222275 .1588957 .1721371 .1554014 .1165512 .48 .49 .0874286 .1314403 .1641662 .1708669 .1482009 .1067883 .49 .50 .0970316 .1401567 .1681881 .1681881 .1401567 .0970316 • 50 38 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P q p n=21 r* 7 n=21 r= 6 n=21 r= 5 n-21 r= 4 n=21 r= 3 n-21 r- 2 P .01 .0000000 .0000000 .0000018 .0000504 .0011099 .0173496 .01 .02 .0000001 .0000026 .0000471 .0006793 .0073962 .0572235 .02 .03 .0000017 .0000250 .0003037 .0028885 .0207542 .1059559 .03 .04 .0000108 .0001205 .0010844 .0076544 .0408239 .1547008 .04 .05 .0000443 .0003928 .0027988 .0156403 .0660369 .1981107 .05 .06 .0001369 .0010008 .0058795 .0270921 .0943207 .2333195 .06 .07 .0003467 .0021495 .0107093 .0418472 .1235489 .2591740 .07 .08 .0007589 .0040726 .0175630 .0594042 .1518107 .2756563 .08 .09 .0014852 .0070079 .0265716 .0790202 .1775514 .2834593 .09 .10 .0026601 .0111725 .0377071 .0998129 .1996259 .2836788 .10 .11 .0044332 .0167385 .0507863 .1208552 .2172950 .2775970 .11 .12 .0069588 .0238144 .0654895 .1412520 .2301884 .2665340 .12 .15 .0103843 .0324310 .0813895 .1602008 .2382475 .2517513 .13 .14 .0148382 .0425360 .0979847 .1770313 .2416617 .2343937 .14 .15 .0204178 .0539938 .1147366 .1912278 .2408053 .2154574 .15 .16 .0271803 .0665919 .1311027 .2024379 .2351776 .1957789 .16 .17 .0351350 .0800529 .1465673 .2104686 .2283516 .1760358 .17 .18 .0442391 .0940491 .1606672 .2152730 .2179308 .1567572 .18 .19 .0543964 .1082203 .1730101 .2169321 .2055145 .1383382 .19 .20 .0654599 .1221916 .1832875 .2156324 .1916732 .1210567 .20 .21 .0772360 .1355919 .1912815 .2116420 .1769283 .1050927 .21 .22 .0894928 .1480700 .1968657 .2052878 .1617419 .0905445 .22 .25 .1019694 .1593088 .2000018 .1969327 .1465103 .0774460 .23 .24 .1143863 .1690375 .2007321 .1859563 .1315619 .0657809 .24 • 23 .1264570 .1770397 .1991698 .1757380 .1171586 .0554962 .25 .26 .1378995 .1831587 •1954868 .1636427 .1035006 .0465124 ,26 .27 .1484470 .1872998 .1899012 .1510107 .0907308 .0387330 .27 .28 .1578579 .1894294 .1826641 .1381493 .0789425 .0320518 .28 .29 .1659235 .1895724 .1740470 .1253280 .0681861 .0263587 .29 • 50 .1724751 .1878062 .1643304 .1127758 .0584763 .0215439 • 30 .51 .1773880 .1842546 •1537931 .1006805 .0497990 .0175015 *31 .52 .1805841 .1790793 .1427038 .0891,899 .0421175 .0141315 .32 .55 .1820329 .1724715 .1313136 .0784136 .0353786 .0113414 .33 .54 .1817492 .1646434 .1198507 .0684269 .0295175 .0090471 .34 .55 .1797912 .1558190 .1085168 .0592739 .0244622 .0071731 .35 .56 .1762552 .1462267 .0974844 .0509722 .0201372 .0056525 .36 .57 .1712714 .1360913 .0868961 .0435171 .0164660 .0044268 •37 .58 .1549961 .1256287 .0768649 .0368856 .0133738 .0034453 .38 .59 .1576068 .1150395 .0674751 .0310406 .0107890 .0026645 .39 .40 .1492940 .1045058 .0587846 .0259343 .0086448 .0020474 .40 .41 .1402556 .0941879 .0508270 .0215122 .0068792 .0015631 .41 .42 .1306899 .0842224 .0436151 .0177149 .0054363 .0011853 .42 •ft .1207903 .0747215 •0371435 .0144814 .0042658 .0008929 .43 .44 .1107404 .0657731 .0313917 .0117509 .0033235 .0006678 .44 .45 .1007094 .0574417 .0263275 .0094641 .0025705 .0004960 .45 .46 .0908495 .0497697 .0219095 .0075647 .0019734 .0003658 .46 .47 .0812928 .0427796 ,0180903 .0050000 .0015035 .0002677 .47 .48 .0721506 .0364762 .0148185 .0047215 .0011367 .0001944 .48 .49 .0635127 .0308489 .0120406 .0036859 .0008525 .0001401 • 49 .50 .0554467 .0258751 .0097031 .0028539 .0006342 .0001001 .50 83293 9 0 - 50 -4 39 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P Q p n=21 r= 1 n=21 r= 0 n=22 r-21 n=22 r=20 n=22 r=19 n=22 r-18 p .01 .1717604 .8097279 .0000000 .0000000 .0000000 .0000000 .01 .02 .280395^ .6542558 .0000000 .0000000 .0000000 .0000000 .02 .03 .3425904 .5274805 .0000000 .0000000 .0000000 .0000000 .03 .04 .3712821 .4243223 .0000000 .0000000 .0000000 .0000000 .04 .05 .3764102 .3405616 .0000000 .0000000 .0000000 .0000000 .05 .06 .3655338 .2726999 .0000000 .0000000 .0000000 .0000000 .06 .07 .3443311 .2178422 .0000000 .0000000 .0000000 .0000000 .07 .08 .3170048 .1735979 .0000000 .0000000 .0000000 .0000000 .08 .09 .2866089 .1379969 .0000000 .0000000 .0000000 .0000000 .09 .10 .2553110 .1094190 .0000000 .0000000 .0000000 .0000000 .10 .11 .22^6012 .0865347 .0000000 .0000000 .0000000 .0000000 .11 .12 .1954582 .0682553 .0000000 .0000000 .0000000 .0000000 .12 .13 .1684798 .0536913 .OQOOOOO .0000000 .0000000 .0000000 .13 .14 .1439847 .0^21180 .0000000 .0000000 .0000000 .0000000 .14 .15 .1220925 .0329456 .0000000 .0000000 .0000000 .0000000 .15 .15 .1027838 .0256960 .0000000 .0000000 .0000000 .0000000 .16 .17 .0859469 .0199820 .0000000 .0000000 .0000000 .0000000 .17 .18 .0714116 .0154914 .0000000 .0000000 .0000000 .0000000 .18 .19 .0589757 .0119725 .0000000 .0000000 .0000000 .0000000 .19 .20 .0484227 .0092234 .0000000 .0000000 .0000000 .0000000 .20 .21 .0395349 .0070822 .0000000 .0000000 .0000000 .0000000 .21 .22 .0321022 .0054198 .0000000 .0000000 .0000000 .0000000 .22 .23 .0259275 .0041334 .0000000 .0000000 .0000000 .0000000 .24 .0208307 .0031411 .0000000 .0000000 .0000000 .0000000 .24 .25 .0166^89 .0023784 .0000000 .0000000 .0000000 .0000000 .25 .26 .0132381 .0017942 .0000000 .0000000 .0000000 .0000001 ,26 .27 .0104722 .0013483 .0000000 .0000000 .0000000 .0000001 .27 .28 .0082419 .0010092 .0000000 .0000000 .0000000 .0000002 .28 .29 .0064533 .0007524 .0000000 .0000000 .0000000 .0000004 .29 • 30 .0050270 .0005585 .0000000 .0000000 .0000001 .0000006 .30 .31 .0038955 .0004129 .0000000 .0000000 .0000001 .0000012 -31 .32 .0030029 .0003039 .0000000 .0000000 .0000002 .0000019 ,32 .33 .0023027 .0002226 .0000000 .0000000 .0000004 .0000031 .33 .3^ .0017563 .0001623 .0000000 .0000000 .0000006 .0000051 .34 .35 .0013322 .0001178 .0000000 .0000001 .0000009 .0000081 .35 .36 .0010049 .0000851 .0000000 .0000001 .0000015 .0000127 .36 .37 .0007538 .0000611 .0000000 .0000002 .0000024 .0000195 • 37 .38 .0005621 .0000437 .0000000 .0000004 .0000038 .0000295 .38 .39 .0004168 .0000310 .0000000 .0000006 .0000059 .0000^2 .39 .40 .0003072 .0000219 .0000001 .0000009 .0000091 .0000652 .40 .41 .0002249 .0000154 .0000001 .0000014 .0000139 .0000950 .41 .42 .0001637 .0000108 .0000002 .0000022 .0000209 .0001369 ,42 .OOOII83 .0000075 .0000003 .0000035 .0000309 .0001951 .4} .44 .0000850 .0000052 ..0000004 .0000054 .0000^54 .00027^9 .44 .45 .0000607 .0000035 .0000007 .0000081 .0000660 .0003832 .45 .46 .0000429 .0000024 .0000010 .0000121 .0000949 .0005290 .46 .47 .0000302 .0000016 .0000015 .0000179 .0001350 .0007229 .47 .48 .0000211 .0000011 .0000023 .0000263 .0001902 .0009785 .48 .49 .0000146 .0000007 .0000035 .0000382 .0002654 .0013123 .49 .50 .0000100 .0000005 .0000053 .0000551 .0003671 .0017^41 .50 40 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=22 r=i7 n=22 r=l6 n=22 r =15 n=22 r=14 n=22 r-13 n-22 r»12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .OOOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000002 .0000016 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000005 .0000037 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000010 .0000081 .14 .15 .0000000 .0000000 .0000000 .0000003 .0000022 .0000165 .15 .16 .0000000 .0000000 .0000001 .0000005 .0000047 .0000318 .16 .17 .0000000 .0000000 .0000001 .0000013 .0000092 .0000584 .17 .18 .0000000 .0000000 .0000003 .0000025 .0000173 .0001028 .18 .19 .0000000 .0000001 .0000006 .0000047 .0000314 .0001740 .19 .20 ; .0000000 .0000001 .0000012 ,0000088 .0000547 .0002844 .20 .21 .0000000 .0000003 .0000022 .0000158 .0000920 .0004504 .21 .22 .0000001 .0000005 .0000041 .0000272 .0001504 .0006929 .22 .23 .0000001 .0000010 .0000073 .0000458 .0002385 .0010385 .24 .0000002 .0000018 .0000126 .0000748 .0003688 .0015183 .24 .23 .0000004 .0000031 .0000212 .0001193 .0005565 .0021705 .25 .26 .0000006 .0000054 .0000347 .0001855 .0008212 .0030386 ,26 .27 .0000012 .0000090 .0000557 .0002821 .0011868 .0041712 .27 .28 .0000021 .0000148 .0000872 .0004205 .0016817 .0056220 .28 .29 .0000035 .0000239 .0001338 .0006145 .0023400 .0074478 .29 .0000058 .0000377 .0002016 .0008817 .0032002 .0097074 .30 .51 .0000093 .0000585 .0002980 .0012437 .0043059 .0124594 -31 .52 .0000149 .0000891 .0004332 .0017259 .0057049 .0157600 .32 .55 .0000232 .0001335 .0006196 .0023585 .0074486 .0196599 .33 .54 .0000358 .0001966 .0008727 .0031761 .0095905 .0242021 .34 .55 .0000542 .0002854 .0012113 .0042179 .0121851 .0294182 .35 • 56 .0000810 .0004081 .0016582 .0055273 .0152853 .0353262 .36 •37 .0001193 .0005755 .0022400 .0071514 .0189413 .0419269 .37 .58 .0001733 .0008011 .0029877 .0091399 .0231972 .0492024 .38 •39 .0002484 .0011011 .0039366 .0115446 .0280887 .0571137 .39 .40 .0003518 .0014951 .0051262 .0144174 .0336407 .0655992 .40 .41 .0004922 .0020066 .0066003 .0178085 .0398640 .0745750 .41 .42 .0006806 .0026630 .0084057 .0217646 .0467537 .0839340 .42 *?? .0009308 .0034959 .0105922 .0263266 .0542859 .0935485 .43 .44 .0012594 .0045413 .0132112 .0315268 .0624166 .1032712 .44 .45 .0016864 .0058397 .0163141 .0373864 .0710805 .1129389 .45 .46 .0022354 .0074354 .0199508 .0439134 .0801898 .1223765 .46 .47 .0029347 .0093764 .0241677 .0510992 .0896351 .1314013 .47 .48 .0038163 .0117137 .0290053 .058917.2 .0992863 .1398282 .48 .49 .0049170 .0145002 .0344960 .0673200 .1089943 .1474760 .49 .50 .0062785 .0177891 .0406609 .0762391 .1185942 .1541724 • 50 41 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n-22 r=H n-22 r=J.0 n=22 r = 9 n=22 r= 8 n-22 r= 7 n-22 r= 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000002 .0000034 .02 .03 .0000000 .0000000 .0000000 .0000001 .0000024 .0000334 •03 .04 .0000000 .0000000 .0000001 .0000012 .0000151 .0001591 .04 .05 .0000000 .0000000 .0000005 .0000061 .0000618 .0005131 .05 .06 .0000000 .0000002 .0000022 .0000226 .0001887 .0012935 .06 .07 .0000001 .0000007 .0000078 .0000668 .0004729 .0027487 .07 .08 •0000003 .0000025 .0000226 .0001669 .0010240 .0051518 .08 .09 .0000008 .0000072 .0000566 .0003676 .0019822 .0087686 .09 .10 .0000023 .0000182 .0001265 .0007315 .0035113 .0138260 .10 .11 .0000056 .0000414 .0002578 .0013411 .0057867 .0204838 .11 .12 .0000128 .0000864 .0004871 .0022964 .0089814 .0288154 .12 .13 .0000273 .0001677 .0008629 .0037124 .0132504 .0387956 .13 .14 .0000544 .0003062 .0014466 .0057127 .0187158 .0502989 .14 .15 .0001021 .0005305 .0023120 .0084223 .0254542 .0631051 .15 .16 .0001824 .0008774 .0035435 .0119594 .0334861 .0769136 .16 .17 .0003114 .0013934 .0052334 .0164256 .0427711 .0913603 .17 .18 .0005110 .0021338 .0074775 .0218984 .0532049 .1060404 .18 .19 .0008092 .0031625 .0103708 .0284221 .0646230 .1205303 .19 .20 .0012410 .0045504 .0140011 .0360029 .0768062 .1344108 .20 .21 .0018483 .0063736 .0184437 .0446038 .0894907 .1472867 .21 .22 .0026800 .0087103 .0237551 .0541431 .1023798 .1588051 .22 .23 .0037919 .0116368 .0299677 .0644957 .1151575 .1686681 .23 .24 .0052448 .0152244 .0370853 .0754949 .1275026 .1766442 .24 .25 .0071034 .0195345 .0450796 .0869391 .1391027 .1825723 .25 .26 .0094343 .0246139 .0538885 .0985981 .1496669 .1863640 ,26 .27 .0123029 .0304915 .0634153 .1102219 .1589373 .1880021 .27 .28 .0157707 .0371738 .0735306 .1215505 .1666979 .1875351 .28 .29 .0198918 .0446423 .0840744 .1323240 .1727817 .1850700 .29 .30 .0247097 .0528513 .0948613 .1422919 .1770744 .1807635 .30 .51 .0302534 .0617266 .1056858 .1512233 .1795166 .1748115 .31 .52 .0365345 .0711661 .1163293 .1589140 .1801026 .1674392 .32 .55 .0435443 .0810408 .1265672 .1651948 .1788777 .1588894 ,33 .54 .0512515 .0911975 .1361773 .1699355 .1759333 .1494139 .34 .55 .0596006 .1014629 .1449470 .1730490 .1714009 .1392633 • 35 .56 .0685113 .1116481 .1526811 .1744928 .1654449 .1286794 .36 .57 .0778790 .1215543 .1592084 .1742686 .1582547 .1178891 •37 .58 .0875756 .1309794 .1643870 .1724210 .1500365 .1070985 .38 .59 .0974528 .1397238 .1681097 .1690333 .1410055 .0964894 .39 .40 .1073443 .1475983 .1703058 .1642235 .1313787 .0862173 .40 .41 .1170711 .1544291 .1709441 .1581382 .1213679 .0764099 .41 .42 .1264461 .1600646 .1700321 .1509468 .1111735 .0671674 .42 •if? .1352793 .1643802 .1676148 .1428346 .1009807 .0585630 .43 .44 4433847 .1672822 .1637727 .1339959 .0909548 .0506453 .44 .45 .1505852 .1687113 .1586174 .1246279 .0812390 .0434403 .45 .46 .1567194 .1686437 .1522869 .1149246 .0719528 .0369540 .46 .47 .1616465 .1670920 .1449406 .1050710 .0631916 .0311757 .47 .48 .1652516 .1641040 .1367533 .0952389 .0550269 .0260805 .48 .49 .1674496 .1597605 .1279088 .0855832 .0475075 .C216328 .49 .50 .1681880 .1541724 .1185942 .0762391 .0406609 .0177891 .50 42 BINOMIAL DISTRIBUTION Table 1 - Individual Terms ,n. r n* ( r )P <1 p n-22 r= 5 n-22 r= 4 n=22 r- 3 n-22 r= 2 n=22 r =• 1 n=22 r- 0 P .01 .0000022 .0000610 .0012723 .0188937 .1781401 .8016306 .01 .02 .0000598 .OOO8136 .0083928 .0616869 .2878726 .6411707 .02 .03 .OOO3813 .0034244 .0233103 .1130549 .3481371 .5116561 .03 .04 .0013471 .0089813 .0453789 .1633641 .3734037 .4073494 .04 .05 .0034408 .0181602 .0726405 .2070257 .3746178 .3235335 • 05 .06 .0071524 .0311258 .1026606 .2412523 .3599638 .2563379 .06 .07 .0128889 .0475664 .1330426 .2651350 .3354769 .2025932 .07 .08 .0209103 .0667967 .1617184 • .2789642 .3055323 .1597100 .08 .09 .0312920 .0878880 .1870831 .2837428 .2732338 .1255772 .09 .10 .0439177 .1097942 .2080312 .2808420 .2407218 .0984771 .10 .11 .0584939 .1314635 .2239283 .2717674 .2094139 .0770159 .11 .12 .0745811 .1519243 .2345499 .2580049 .1801939 .0600646 .12 .13 .0916349 .1703469 .2400029 .2409261 .1535572 .0467115 .13 .14 .1090512 .1860795 .2406442 .2217365 .1297233 .0362215 .14 .15 .1262104 .1986644 .2370031 .2014527 .1087204 .0280038 .15 .16 .1425163 .2078363 .2297138 .1808997 .0904498 .0215846 .16 .17 .1574305 .2135088 .2194579 .1607207 .0747328 .OI65851 .17 .18 .1704962 .2157515 .2069195 .1413950 .0613459 .0127030 .18 .19 .1813553 .2147628 .1927511 .1232592 .0500452 .0096977 .19 .20 .1897565 .2108405 .1775499 .1065300 .0405828 .0073787 .20 .21 .1955573 .2043521 .1618428 .0913255 .0327199 .0055949 .21 .22 .1987185 .1957077 .1460785 .0776872 .0262320 .0042275 .22 .23 .1992959 .1853356 .1306255 .0655967 .0209149 .0031827 .23 .24 .1974259 .1736617 .1157744 .0549929 .0165851 .0023873 .24 • 25 .1933118 .1610931 .1017431 .0457843 .0130813 .0017838 .25 .26 .1872073 .1480058 .0886836 .03786II .0102627 .0013277 .26 .27 .1794008 .1347351 .0766914 .0311026 .0080088 .0009842 .27 .28 .1702000 .1215714 .0658131 .0253850 .0062168 .0007266 .28 .29 .1599185 .1087569 .0560561 .0205862 .0048000 .00053^2 .29 • 30 .1488640 .0964860 .0473966 .OI65888 .0036864 .0003910 .30 • 31 .1373283 .0849072 .0397868 .0132836 .0028159 .0002849 .31 .32 .1255793 .0741267 .0331620 .0105703 .0021393 .0002065 .32 .33 . II38566 .0642121 .0274463 .0083586 .0016162 .0001492 • 33 .34 .1023666 .0551977 .0226575 .0065683 .0012143 .0001071 .3* .35 .0912817 .0470898 .0184111 .0051288 .0009071 .0000766 • 35 • 36 .0807401 .0398716 .0149227 .0039794 .0006738 .0000544 .36 .37 .0708459 .0335082 .0120115 .0030678 .0004975 .OOOO385 .37 .38 .0616727 .0279512 .0096009 .0023497 .0003651 .0000271 .38 .39 .0532656 .0231425 .0076205 .0017878 .0002664 .0000189 .39 .40 .0456445 .0190185 .0060059 .0013513 .0001930 .0000132 .40 .41 .0388079 .0155127 .0046996 .0010144 .0001390 .0000091 .41 .42 .0327370 .0125578 .0036509 .0007563 .0000995 .0000062 .42 • ^3 .0273988 .0100887 .0028154 .0005599 .0000706 .0000043 .43 .44 .0227498 .0080428 .0021550 .0004114 .0000499 .0000029 .44 .45 .0187389 .0063620 .0016370 .0003001 .0000350 .0000019 .*5 .46 .0153109 .0049927 .0012338 .0002173 .0000243 .0000013 .46 .47 .0124078 .0038866 .0009227 .0001561 .0000167 .0000009 .47 .48 .0099719 .0030008 .0006844 .0001113 .0000114 .0000006 .48 .49 .0079468 .0022975 .0005034 .0000786 .0000078 .0000004 .49 .50 .OO62785 .0017441 .0003671 .0000551 .0000053 .0000002 .50 43 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=23 r=22 n-23 r“21 n-23 r= 20 n=23 r=19 n=23 r=18 n=23 r=17 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000002 .0000019 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000004 .0000033 .27 .28 .0000000 .0000000 .0000000 .0000001 .0000007 .0000056 .28 .29 .0000000 ,0000000 .0000000 .0000001 .0000013 .0000094 .29 .50 .0000000 .0000000 .0000000 .0000003 .0000022 .0000153 .30 .51 .0000000 .0000000 .0000000 .0000005 .0000037 .0000245 .31 .52 .0000000 .0000000 .0000001 .0000007 .0000061 .0000386 .32 .55 .0000000 .0000000 .0000001 .0000013 .0000098 .0000596 .33 .54 .0000000 .0000000 .0000002 .0000021 .0000156 .0000904 .34 .55 .0000000 .0000000 .0000004 .0000034 .0000243 .0001351 .35 .56 .0000000 .0000001 .0000006 .0000055 .0000373 .0001987 .36 .57 .0000000 .0000001 .0000010 .0000087 .0000564 .0002882 .37 .58 .0000000 .0000002 .0000016 .0000136 .0000841 .0004119 .38 .59 .0000000 .0000003 .0000026 .0000209 .0001238 .0005810 •? 9 .40 .0000000 .0000004 .0000042 .0000316 .0001798 .0008091 .40 .41 .0000000 .0000007 .0000065 .0000472 .0002578 .0011131 .41 .42 .0000001 .0000010 .0000101 .0000696 .0003653 .0015132 .42 .43 .0000001 .0000017 .0000153 .0001015 .0005114 .0020338 .43 .44 .0000002 .0000026 .0000230 .0001464 .0007080 .0027035 .44 .45 .0000003 .0000040 .0000342 .0002087 .0009697 .0035553 .45 .46 .0000005 .0000061 .0000502 .0002945 .0013140 .0046274 .46 .47 .0000008 .0000092 .0000730 .0004113 .0017624 .0059623 .47 .48 .0000012 .0000138 .0001050 .0005686 .0023406 .0076070 .48 .49 .0000018 .0000205 .0001496 .0007784 .0030785 .0096128 .49 .50 .0000028 .0000301 .0002111 .0010556 .0040113 .0120338 .50 44 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=23 r=l6 n=23 r-15 n=23 r*l4 n-23 r=l3 n=23 r-12 n-23 r»ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 . 0000.000 .0000003 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000014 .09 .10 .0000000 .0000000 .0000000 .OOOOOOO .0000005 .0000038 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000012 .0000095 .11 .12 .0000000 .0000000 .0000000 .0000004 .0000029 .0000217 .12 .13 .0000000 .0000000 .0000001 .0000009 .0000068 .0000455 .13 .14 .0000000 .0000000 .0000003 .0000020 .0000146 .0000896 .14 .15 .0000000 .0000001 .0000005 .0000044 .0000294 .0001663 .15 .16 .0000000 .0000002 .0000012 .0000090 .0000559 .0002935 .16 .17 .0000000 .0000004 .0000025 .0000176 .0001015 .0004953 .17 .18 .0000001 .0000007 .0000051 .0000327 .0001763 .0008031 .18 .19 .0000002 .0000014 .0000098 .0000585 .0002947 .0012563 .19 .20 .0000004 .0000027 .0000179 .0001007 .000*1757 .0019029 .20 .21 .0000007 .0000050 .0000318 .0001673 .0007440 .0027985 .21 .22 .0000013 .0000092 .0000543 .0002697 .0011301 .004006? .22 .23 .0000024 .0000162 .0000901 .0004225 .0016716 .0055963 .23 .24 .0000044 .0000275 .0001454 .0006447 .0024126 .0076399 .24 .23 .0000076 .0000457 .0002286 .0009600 .0034037 .0102113 .25 .26 .0000130 .0000740 .0003507 .0013978 .0047014 .0133810 ,26 .27 .0000216 .0001169 .0005264 .0019925 .0063668 .0172138 .27 .28 .0000351 .0001805 .0007737 .0027850 .0084636 .0217636 .28 .29 .0000558 .0002732 .0011149 .0038213 .0110565 .0270695 .29 • 30 .0000869 .0004056 .0015772 .0051524 .0142081 .0331522 • 30 .31 .0001328 .0005912 .0021929 .0068335 .0179756 .0400101 ,31 .32 .0001992 .0008469 .0029992 .0089225 .0224078 .0476166 .32 .33 .0002939 .0011934 .0040382 .0114784 .0275418 .0559181 >33 .34 .0004265 .0016558 .0053571 .0145585 .0333988 .0648332 • 34 .35 .0006094 .0022637 .0070064 .0182167 .0399820 .0742524 .35 .36 .0008581 .0030511 .0090402 .0225000 .0472728 .0840406 .36 •37 .0011913 .0040572 .0115137 .0274459 .0552292 .0940389 .37 .38 .0016320 .0053255 .0144817 .0330792 .0637842 .1040691 .38 .39 .0022069 .0069037 .0179968 .0394085 .0728459 .1139385 .39 .40 .0029476 .0088427 .0221067 .0464241 .0822972 .1234459 .40 .41 .0038900 .0111956 .0268513 .0540956 .0919983 .1323879 .41 .42 .0050749 .0140164 .0322601 .0623694 .1017891 .1405658 .42 • J3 .0055473 .0173581 .0383491 .0711687 .1114928 .1477927 .43 .44 .0083561 .0212700 .0451183 .0803926 .1209212 .1538996 .44 .45 .0105532 .0257967 .0525487 .0899168 .1298798 .1587419 • 45 .46 .0131925 .0309736 .0606005 .0995957 .13817*0 .1622045 .46 .47 .0163283 .0368255 .0692111 .1092652 .1456166 .1642058 .47 .48 .0200137 .0433631 .0782943 .1187465 .152031** .1647007 .48 .49 .0242981 .0505798 .0877404 .1278504 .1572630 .1636819 .49 .50 .0292250 .0584500 .0974166 .1363833 .1611803 .1611803 .50 45 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n=23 r-10 n-23 r- 9 n-23 r s 8 n=23 r= 7 n-23 r» 6 n-23 r- 5 P .01 .0000000 .0000000 .0000000 .0000000 .0000001 .0000028 .01 .02 .0000000 .0000000 .0000000 .0000002 .0000046 .0000749 .02 .03 .0000000 .0000000 .0000002 .0000033 .0000439 .0004725 .03 .04 .0000000 .0000001 .0000018 .0000209 .0002065 .0016526 .04 .05 .0000001 .0000007 .0000089 .0000843 .0006595 .0041768 .05 .06 .0000003 .0000035 .0000326 .0002550 .0016450 .0085907 .06 .07 .0000013 .0000119 .0000952 .0006322 .0034585 .0153164 .07 .08 .0000041 .0000342 .0002355 .0013542 .0064124 .0245812 .08 .09 .0000117 .0000846 .0005129 .0025930 .0107957 .0363856 .09 .10 .0000291 .0001869 .0010095 .0045428 .0168351 .0505054 .10 .11 .0000653 .0003769 .0018301 .0074034 .0246650 .0665205 .11 .12 .0001344 .0007043 .0030986 .0113615 .0343072 .0838623 .12 .13 .0002580 .0012334 .0049523 .0165713 .0456647 .1018675 .13 .14 .0004658 .0020439 .0075331 .0231375 .0585241 .1198352 .14 .15 .0007977 .0032285 •01Q9771 .0311019 .0725709 .1370784 .15 .16 .0013041 .0048900 .0154036 .0404346 .0874100 .1529675 .16 .17 .0020462 .0071360 .0209044 .051033 2 .1025923 .1669638 .17 .18 .0030957 .0100732 .0275336 .0627153 .1176424 .1786422 .18 .19 .0045320 .0138006 .0353003 .0752453 .1320871 .1877027 .19 .20 .0064405 .0184015 .0441635 .0883272 .1454799 .1939733 .20 .21 .0089084 .0239373 .0540300 .1016279 .1574236 .1974041 .21 .22 .0120201 .0304405 .0647552 .1147933 .1675860 .1980562 .22 • 23 .0158529 .0379091 .0761479 .1274649 .1757126 .1960850 .23 .24 .0204711 .0463036 .0879767 .1392966 .1816319 .1917224 .24 .25 .0259207 .0555445 .0999800 .1499701 .1852571 .1852572 .25 .26 .0322253 .0655130 .1118760 .1592081 .1865833 .1770149 *26 .27 .0393809 .0760531 .1233751 .1667848 .1856797 .1673411 .27 .28 .0473537 .0869761 .1341918 .1725324 .1826812 .1565840 .28 .29 .0560776 .0980668 .1440567 .1763453 .1777761 .1450816 .29 .30 .0654543 .1090905 .1527266 .1781812 .1711936 .1331506 • 30 .31 .0753539 .1198024 .1599942 .1780581 .1631917 .1210777 • 31 .32 .0856184 .1299564 .1656944 .1760502 .1540441 .1091145 .32 .33 .0960645 .1393143 .1697102 .1722815 .1440286 .0974739 .33 .34 .1064906 .1476551 .1719747 .1669167 .1334178 .0863292 .34 .35 .1166824 .1547827 .1724721 .1601528 .1224697 .0758146 .35 • 36 .1264200 .1605333 .1712356 .1522093 .1114213 .0660274 .36 •37 .1354863 .1647807 .1683434 .1433195 .1004831 .0570310 •3Z .38 .1436743 .1674399 .1639149 .1337200 .0898367 .0488586 .38 .39 .1507943 .1684699 .1581024 .1236443 .0796321 .0415176 .39 .40 .1566814 .1678728 .1510856 .1133142 .0699881 .0349941 .40 .41 .1612003 .1656937 .1430623 .1029351 .0609931 .0292569 .41 .42 .1642510 .1620162 .1342421 .0926909 .0527066 .0242618 .42 .1657711 .1569593 .1248374 .0827411 .0451624 .0199554 .43 .44 .1657380 .1506709 .1150579 .0732186 .0383712 .0162787 .44 .45 .1641690 .1433222 .1051029 .0642295 .0323247 .0131693 .45 .46 .1611196 .1351002 .0951576 .0558533 .0269982 .0105645 .46 .47 .1566809 .1262019 .0853877 .0481441 .0223548 .0084028 .47 .48 .1509757 .1168264 .0759371 .0411326 .0183484 .0066258 .48 .49 .1441532 .1071693 .0669261 .0348289 .0149266 .0051787 .49 .50 .1363833 .0974166 .0584500 .0292250 .0120338 .0040113 .50 46 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=23 4 n=23 r- 3 n=23 r= 2 n»23 r= 1 n=23 r- 0 n=24 r= 23 p .01 .0000732 .0014485 .0204861 .1843750 .7936143 .0000000 .01 .02 .0009651 .0094587 .0662107 .2949385 .6283473 .0000000 .02 .05 .0040211 .0260026 .1201073 .3530427 .4963064 .0000000 .03 .04 .0104371 .0500984 .1717656 .3747615 .3910555 .0000000 .04 .05 .0208842 .0793598 .2154053 •3720635 .3073569 .0000000 .05 .06 .0354179 .1109761 .2483750 •3537463 .2409576 .0000000 .06 .07 .0535496 .1422892 .2700589 .3261750 .1884117 .0000000 .07 .08 .0743905 .1710980 .2810897 .2938665 .1469332 .0000000 .08 .09 .0968156 .1957825 .2827970 .2599447 .1142752 .0000000 .09 .10 .1196179 .2153123 .2768300 .2264973 .0886294 .0000000 .10 .11 .1416346 .2291906 .2649086 .1948501 .0685441 .0000000 .11 .12 .1618394 .2373645 .2486676 .1657783 .0528569 .0000000 .12 .13 .1794022 .2401229 .2295681 .1396673 .0406390 .0000000 .13 .14 .1937186 .2379971 .2088547 .1166330 .0311505 .0000000 .14 .15 .2044152 .2316706 .1875428 .0966130 .0238032 .0000000 .15 .16 .2113367 .2219036 .1664276 .0794314 .0181311 .0000000 .16 .17 .2145201 .2094726 .1461027 .0648478 .0137656 .0000000 .17 .18 .2141617 .1951251 .1269861 .0525903 .0104164 .0000000 .18 .19 .2105806 .1795476 .1093486 .0423791 .0078552 .0000000 .19 .20 .2041824 .1633459 .0933405 .0339420 .0059030 .0000000 .20 .21 .1954252 .1470341 .0790184 .0270236 .•0044200 .0000000 .21 .22 .1847893 .1310324 .0663670 .0213911 .0032974 .0000000 .22 .23 .1727522 .1156689 .0553199 .OI68365 .0024507 .0000000 .23 .24 .1597688 .1011868 .0457750 .0131777 .0018143 .0000000 .24 .23 .1462556 .0877534 .0376086 .0102568 .0013379 .0000000 .25 .26 .1325820 .0754698 .0306855 .0079396 .0009825 .0000000 .26 .27 .1190633 .0643824 .0248672 .0061122 .0007185 .0000000 .27 .28 .1059591 .0544932 .0200179 .0046795 .0005232 .0000000 .28 .29 .0934737 .0457698 .0160082 .0035629 .0003793 .0000000 .29 .30 .0817592 .0381642 .0127181 .0026978 .0002737 .0000000 .30 .31 .0709199 .0315708 .OIOO386 .0020313 .0001966 .0000000 .31 .32 .0610179 .0259327 .0078724 ,0015208 .0001405 .0000000 .32 .33 .0520793 .0211474 .0061337 .0011321 .0000999 .0000000 .33 .34 .0441000 .0171212 .0047479 .0008379 .0000707 .0000000 .34 .35 .0370522 .0137623 .0036512 .0006164 .0000498 .0000000 .35 • 36 .0308900 .0109831 .0027893 .0004509 .0000348 .0000000 .36 .37 .0255544 .0087023 .0021168 .0003276 .0000243 .0000000 .37 .38 .0209780 .0068455 .0015555 .0002367 .0000168 .0000000 .38 .39 .0170889 .0053457 .0011945 .0001698 .0000116 .0000000 .39 .40 .0138135 .0041440 .0008880 .0001211 .0000079 .0000000 .40 .41 .0110793 .0031887 .0006555 .0000857 .0000054 .0000000 .41 .42 .0088169 .0024352 .0004804 .000060^) .0000036 .0000000 ,42 .43 .0069612 .0018456 .0003495 .0000421 .0000024 .0000001 .43 .44 .0054522 .0013879 .0002523 .0000292 .0000016 .0000001 .44 .45 .0042358 .0010354 .0001807 .0000201 .0000011 .0000001 .45 .46 .0032636 .0007663 .OOOI285 .0000137 .0000007 .0000002 .46 .47 .0024936 .0005624 .0000906 .0000092 .0000005 .0000004 .47 .48 .0018890 .0004092 .0000634 .0000062 .0000003 .0000006 .48 .49 .0014184 .0002953 .0000439 .0000041 .0000002 .0000010 .49 .50 .0010556 .0002111 .0000301 .0000028 .0000001 .0000014 .50 47 BINOMIAL DISTRIBUTION Table 1 - Individual Terms qD -r p n-24 r-22 n-24 r-21 n=24 r=20 n=24 r=19 n-24 r=l8 n=24 r=17 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .00.00005 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015 .24 .25 .0000000 .0000000 .0000000 .0000000 ,0000004 .0000027 .25 .26 .0000000 .0000000 .0000000 .0000001 .0000006 .0000048 ,26 .27 .0000000 .0000000 .UOOOOOO .0000002 .0000011 .0000083 .27 .28 .0000000 .0000000 .0000000 .0000003 .0000021 .0000139 .28 .29 .0000000 .0000000 .0000001 .0000004 .0000036 .0000229 .29 .30 .0000000 .0000000 .0000001 .0000008 .0000062 .0000368 .30 .31 .0000000 .0000000 .0000002 .0000014 .0000102 .0000581 .31 .32 .0000000 .0000000 .0000003 .0000025 .0000164 .00C0901 .32 .33 .0000000 .0000001 .0000005 .0000040 .0000263 .0001369 .33 .34 .0000000 .0000001 .0000009 .0000066 .0000410 .0002048 .34 .35 .0000000 .0000002 .0000014 .0000107 .0000631 .0003011 .35 .36 .0000000 .0000003 .0000024 .0000169 .0000954 .0004361 .36 .37 .0000000 .0000005 .0000038 .0000264 .0001421 .0006224 .37 ,38 .0000001 .0000007 .0000062 .0000404 .0002086 .0008756 .38 .39 .0000001 .0000012 .0000097 .0000610 .0003022 .0012151 •? 9 .40 .0000002 .0000019 .0000151 .0000909 .0004315 .0016645 .40 .41 .0000003 .0000031 .0000232 .0001335 .0006085 .0022516 .41 .42 .0000005 .0000048 .0000351 .0001938 .0008474 .0030091 .42 •43 .0000007 .0000076 .0000523 .0002778 .0011661 .0039746 .43 .44 .0000012 .0000116 .0000773 .0003935 .0015860 .0051906 .44 .45 .0000020 .0000176 .0001127 .0005512 .0021332 .0067044 .45 .46 .0000031 .0000264 .0001626 .0007635 .0028381 .0085673 .46 .47 .0000047 .0000392 .0002320 .0010463 .0037364 .0108343 .47 .48 .0000073 .0000575 .0003275 .0014192 .0048685 .0135622 .48 .49 .0000109 .0000838 .0004577 .0019055 .0062803 .0168086 .49 .50 .0000164 .0001207 .0006333 .0025335 .0080225 .0206294 .50 48 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 1 _ I n=24 r=l6 n=24 r *15 n-24 r=l4 n=24 r-13 n=24 r=12 n=24 r=ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .oooooob .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000003 .0000023 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000007 .0000064 .10 .11 .0000000 .0000000 .0000000 .0000003 .0000021 .0000156 .11 .12 .0000000 .0000000 .0000001 .0000006 .0000052 .0000352 .12 .13 .0000000 .0000000 .0000002 .0000016 .0000119 .0000732 .13 .14 .0000000 .0000001 .0000004 .0000038 .0000251 .0001423 .14 .15 .0000000 .0000001 .0000012 .0000081 .0000499 .0002611 .15 .16 .0000000 .0000004 .0000024 .0000165 .0000940 .0004552 .16 .3.7 ! .0000001 .0000007 .0000051 .0000319 .0001684 .0007589 .17 .18 .0000002 .0000015 .0000101 .0000586 .0002891 .0012157 .18 .19 .0000004 .0000030 .0000191 .0001033 .0004775 .0018787 .19 .20 .0000008 .0000058 .0000345 .0001756 .0007612 .0028104 .20 .21 .0000016 .0000107 .0000602 .0002884 .0011755 .0040816 .21 .22 .0000030 .0000191 .0001017 .0004590 .0017630 .0057696 .22 .23 .0000056 .0000331 .0001666 .0007098 .0025743 .0079553 .23 .24 .0000099 .0000558 .0002653 .0010689 .0036672 .0107194 .24 .25 ,0000171 .0000915 .0004114 .0015709 .0051057 .0141385 .25 .26 .0000288 .0001460 .0006229 .0022567 .0069582 .0182805 ,26 .27 .0000473 .0002274 .0009223 .0031735 .0092955 .0231990 .27 .28 .0000758 .0003466 .0013368 .0043750 .0121876 .0289288 .28 .29 .0001188 .0005173 .0018998 .0059195 .0157003 .0354818 .29 • 30 .0001825 .0007571 .0026498 .0078690 .0198914 .0428428 .30 .3! .0002749 .0010877 .0036315 .0102875 .0248063 .0509667 -31 .32 .0004064 .0015356 .0048947 .0132378 .0304747 .0597771 .32 .33 .0005907 .0021322 .0064935 .0167793 .0369059 .0691665 .33 .34 .0008444 .0029142 .0084856 .0209642 .0440865 .0789967 .34 .35 .0011884 .0039236 .0109300 .0258346 .0519767 .0891028 .35 • 36 .0016476 .0052072 .0138857 .0314182 .0605092 .0992972 .36 •37 .0022517 .0068161 .0174086 .0377257 .0695888 .10937^4 .37 .38 .0030355 .0088049 .0215487 .0447471 .0790925 .II9II9O .38 •39 .0040386 .0112301 .0263473 .0524491 .•0888720 .1283123 •39 .40 .0053057 .0141483 .0318336 .0607734 .0987567 .1367401 .40 .41 .0068853 .0176145 .0380214 .0696357 .•1085581 .1442010 .41 .42 .0088304 .0216787 .0449060 .0789257 .1180753 .I505I36 .42 •43 .0111959 .0263842 .0524615 .0885081 .1271018 .1555234 .43 .44 .0140383 .0317633 .0606390 .0982251 *1354317 .1591085 .44 •45 .0174127 .0378351 .0693644 .1079001 .1428677 .1611841 .45 .46 .0213718 .0446020 .0785383 .1173419 .1492281 .1617055 .46 .47 .0259620 .0520467 .0880366 .1263503 .1543535 .1606691 .47 .48 .0312214 .0601301 .0977113 .1347232 .1581127 .1581127 .48 .49 .0371761 .0687885 .1073943 .1422626 .1604083 .1541128 .49 .50 .0438375 .0779333 .1169000 .1487818 .1611802 .1487818 .50 49 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n=24 r=10 n-24 r- 9 n=24 r= 8 n-24 r- 7 n-24 r=* 6 n=24 r= 5 P .01 .0000000 .0000000 .0000000 .0000000 .0000001 .■OOOOO35 .01 .02 .0000000 .0000000 .0000000 .QOOO0O3 .0000060 .0000927 .02 .03 .0000000 .0000000 .0000003 .0000045 .0000567 .0005791 .03 .04 .0000000 .0000002 .0000025 .0000283 .0002644 .0020040 .04 .05 .0000001 .0000012 .0000126 .0001131 .OOO8354 .0050121 .05 .06 .0000005 .0000053 .0000459 .0003384 .0020617 .0102004 .06 .07 .0000020 .0000178 .0001327 .OOO83OI .0042886 .0179927 .07 .08 .0000066 .0000502 .0003250 .0017589 .0078659 .0285660 .08 .09 .0000182 .0001231 .0007001 .0033313 .0130988 .0418243 .09 .10 .0000449 .0002692 .0013628 .0057720 .0202022 .0574166 .10 .11 .0000995 .0005369 .0024431 .0093022 .0292690 ,07^7831 .11 .12 .0002028 .0009916 .0040901 .0141150 .0402539 .0932195 .12 .13 .0003848 .0017168 .0064628 .0203534 .0529711 .1119470 .13 .14 .0006867 .0028124 .0097177 .0280916 .0671078 .I3OI788 .14 .15 .0011622 .0043909 .0139958 .0373222 .0822471 .1471789 .15 .16 .0018778 .0065722 .0194086 .0479506 .0978992 .1623666 .16 .17 .0029115 .0094767 .0260259 .0597966 .1135354 .1750485 .17 .18 .0043517 .0132161 .0338662 .0726022 .1286224 .1850357 .18 .19 .0062930 .0178855 .0428899 .0860453 .1426540 ,1920495 .19 .20 .OO88327 .0235539 .0529963 .0997576 .1551787 .1960151 .20 .21 .0120644 .0302568 .0640256 .1133449 .1658195 .1969886 .21 .22 .0160726 .0379897 .0757636 .1264078 .1742894 .1951375 .22 .23 .0209258 .0467040 .0879508 .1385619 '.180^982 .1907185 *23 .24 .0266708 .0563052 .1002935 .1494571 .1840535 .1840536 .24 • 25 .0333267 .0666534 .1124775 .1587919 .1852571 .1755068 .25 .26 .0408801 .0775673 .1241824 .1663257 .1840955 .1654623 ,26 .27 .0492824 .0888300 .1350957 .1718864 .1807283 .1543061 .27 .28 .0584480 .1001965 .1449272 .1753740 .1753740 .1424090 .28 .29 .0682545 .1114038 .1534204 .1767603 .1682947 .1301153 .29 .30 .0785451 .1221814 .1603630 .1760849 .1597807 .1177332 • 30 .31 .0891330 .1322618 .1655940 .1734495 .1501364 .1055288 -31 .32 .0998065 .1413926 .1690082 .1690083 .1396666 .0937236 • 32 .33 .1103369 .1493450 .1705587 .1629580 .1286656 .0824937 .33 .34 .1204865 .1559238 .1702550 ,1555271 .1174076 .0719713 .34 .35 .1300175 .1609740 .1681604 .1469637 .1061404 .0622478 .35 .36 .1387008 .1643861 .1643861 ,1375257 .0950794 .0533780 .36 .37 .1463252 ;1660989 .1590846 .1274701 .0844058 .0453846 .37 .38 .1527052 ;1661005 .1524408 .1170444 .0742650 .0382639 .38 .39 .1576877 .1644266 .1446638 .1064795 .0647675 .0319904 •? 9 .40 .1611579 .1611579 .1359771 .0959837 .0559906 .0265218 .40 .41 .1630425 .1564149 .1266101 .0857389 .0479813 .0218040 .41 .42 .1633124 .1503511 .1167906 .0758975 .0407597 .0177750 .42 .1619820 .1431469 .1067360 .0665822 .0343234 .0143680 .4} .44 .1591085 .1350012 .0966485 .0578858 .0286505 .0115151 .44 .45 .1547880 .1261235 .0867099 .0498723 .0237048 .0091492 .45 .46 .1491507 .1167266 .0770776 .0425800 .0194387 .0072061 .46 .47 .1423558 .1070192 .0678832 .0360231 .0157974 .0056255 *47 .48 .1345840 .0971996 .0592310 .0301962 .0127215 .0043521 .48 .49 .1260310 .0874501 .0511985 .0250768 .0101502 .0033361 .49 .50 .1169000 .0779333 .0438375 .0206294 .0080225 .0025335 .50 50 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n-24 r- 4 n=24 r- 3 n=24 r= 2 n-24 r= 1 n=24 r= 0 n=25 r~24 p .01 .0000869 .OOI6389 .0221250 .1904675 .7856781 .0000000 .61 .02 .0011350 .0105937 .0707853 .3016067 .6157803 .0000000 .02 .03 .0046804 .0288258 .1270954 .3573406 .4814172 .0000000 .03 .04 .0120236 .0549650 .1798855 .3754133 .3754132 .0000000 .04 .05 .0238080 .0861621 .2232381 .3688283 .2919890 .0000000 .05 .06 .0399514 .1192200 .2546973 .3469790 .2265001 .0000000 .06 .07 .0597614 .1512330 .2739870 .3165316 .1752229 .0000000 .07 .08 .0821270 .1798974 .2821118 .2821118 .1351786 .0000000 .08 .09 .1057226 .2036138 .2807403 .2468345 .1039904 .0000000 .09 .10 .1291873 .2214641 .2717967 .2127106 .0797664 .0000000 .10 .11 .1512658 .2331195 .2572022 .1809564 .0610043 .0000000 .11 .12 .1709025 .2387208 .2387209 .1522278 .0465140 .0000000 .12 .13 .1872959 .2387508 .2178810 .1267936 .0353559 .0000000 .13 .14 .1999176 .2339172 .1959436 .1046655 .0267894 .0000000 .14 .13 .2085035 .2250514 '.1739034 .0856915 .0202327 .0000000 .15 .16 .2130274 .2130274 .1525083 .0696233 .0152301 .0000000 .16 .17 .2136620 .1986997 .1322894 .0561637 .0114255 .0000000 .17 .18 .2107351 .1828601 .1135949 .0449989 .0085415 .0000000 .18 .19 .2046843 .1662099 '.0966244 '.0358195 ‘.0063627 .0000000 .19 .20 .1960151 .1493448 '.o8l46o8 .0283342 '.0047224 .0000000 .26 .21 .1852630 .1327509 .0680995 ■.0222768 .0034918 .6000000 .21 .22 .1729627 .1168060 '.0564724 .0174104 ‘.0025720 .0000060 .22 .23 .1596231 .1017886 .0464687 .0135278 '.0018870 .0000006 *23 .24 .1457091 .0878880 .0379517 '.0104504 '.0013789 .0000060 .24 .25 .1316300 .0752172 .0307707 .0080271 ',0010034 ‘.0000000 .25 .26 .1177329 .0638258, .0247716 '.00^1308 '.0007270 Y0000000 ,26 .27 .1042994 .0537133 ■.0198034 .0046559 ‘.0005245 ’.0000000 .27 .28 .0915487 .0448401 .0157232 .0035157 '.0003767 ■.0000000 .28 .29 .0796395 .0371390 .0123990 .0026397 '.0002693 '.0000000 .29 • 30 .0686777 .0305234 '.0097120 .0019705 '.0001916 ’.0000000 .30 .31 .0587217 .0248958 .0075563 '.0014626 .0001356 '.0000000 *31 .32 .0497907 .0201533 .0058399 .0010792 .0000955 ’.0000000 .32 .33 .0418718 .0161928 ‘.0044832 .0007914 *.0000670 ’. 0000000 .33 .34 .0349272 .0129143 ;0034185 '. OOO.5770 '.0000467 .0000000 .34 .35 .0289007 .0102234 '.0025890. ■.0004101 '.0000324 10000000 .35 .36 .0237235 .0080334 ‘.0019474 ; 0003011 '.0000223 10000000 .36 .37 .0193191 .0062657 ; 0014548 ;0002154 ;0000153 .0000000 •37 .38 .0156077 .0048505 .0010792 : 0001531 .0000104 .0000000 .38 .39 .0125090 .0037268 ; 0007948 .0001082 .0000070 .0000000 .40 .0099457 .0028416 ;0005812 :0000759 .0000047 .0000000 .40 • 41 .0078441 .0021501 .0004219 ; 0000528 10000032 10000000 .41 .42 .0061366 .0016141 .0003040 ;0000365 i0000021 .0000000 .42 * is .0047614 .0012022 ; 0002174 '.0000250 10000014 .0000000 .43 .44 .0036639 .0008882 ; 0001541 .0000171 ;0000009 looooooo .44 .45 .0027956 .0006508 .0001085 .0000115 10000006 .0000001 .45 .46 .0021148 .0004729 .0000757 .0000077 10000004 .0000001 .46 .47 .OOI5859 .0003406 .0000524 • 0000052 10000002 .0000002 i47 .48 .0011787 .0002432 .0000360 .0000033 .0000002 .0000003 .48 .49 .0008681 .0001721 .0000244 .0000022 .0000001 .0000005 .49 • 50 .0006333 .0001207 .0000164 .0000014 .0000001 .0000008 .50 51 y. OF ILL. LIB. BINOMIAL DISTRIBUTION Table 1 - Individual Terms q Q ' r p n -25 r-23 n=25 r=22 n-25 r-21 n-25 ~r *20 n-25 r»19 n s25 r= l8 p .01 .0000000 .0000000 .0000000 i 0000000 .0000000 .0000000 .61 .02 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 i0000000 .0000000 .6000000 .0000000 .0000000 .05 .04 .0000000 .0000000 ,0000000 *0000060 .0000000 .0000000 .04 .05 .0000000 .0000000 ,0000060 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000600 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .6000000 .0000000 •°? .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000600 .0000000 ,0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 *000000-0 .0000000 .0000000 .11 .12 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 ,0000000 .0000000 .0000000 .0000000 .16 .1? .0000000 .0000000 .0000000 .0000000 .0000000 .0600000 .17 .18 .0000000 .0000000 ,0000000 .0000000 .0000000 .0000000 . 18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 ‘,0000000 .0000600 .0000000 .0000000 .20 .21 ‘.0000000 .0000600 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000600 .0000000 .0000001 .22 .23 ‘.0000000 .0000000 .0000000 .0000000 .0000000 .0000003 *23 .24 .0000000 '.0000000 .0000000 .0006006 .0000001 .0000005 .24 .25 ‘.0000000 .0000000 .0000000 .0000066 .0000001 .0000010 • 25 .26 .0000000 .0000000 .0000000 .0000000 .0000002 .0000018 . 26 .27 .0000000 ,0000000 .0000000 ’.6000001 .0000004 .0000031 .27 .28 '.0000000 '.0000000 .0000000 ’.0000001 .0000008 .0000054 .28 .29 .0000000 ‘.0000000 .0000000 .0000002 ,0000014 .0000092 .29 • 30 iOOOOOOO ;ooooooo .0000000 ’.0000003 ,0000025 .0000153 .30 .31 ’.0000000 .0000000 .0000001 ;0000005 .0000042 .0000250 .31 .32 ‘.0000000 .0000000 .0000001 .0000016 .0000069 .0000400 .32 .33 .0000000 .0000000 .0000002 ;oooooi7 .0000114 .0000627 • 33 • 34 .0000000 .0000000 ;0000004 .0000028 .0000184 .0000966 .34 • 35 .0000000 .0000001 .0000006 .0000047 .0000290 .0001464 .35 • 36 .0000000 ;0000001 .0000010 .000007? .0000452 .0002180 . 36 •|Z .0000000 ;0000002 .0000017 .0000122 .0000692 .0003198 .38 .0000000 .0000003 ;0000028 .0000192 .0001044 .0004620 .38 .39 .0000000 .0000006 .0000045 ;0000297 .0001551 .0006581 .40 .0000001 .0000009 .0000072 ; oooo454 .0002271 .0009247 .40 • 4 JL .0000001 .0000015 ;ooooii3 ;0000684 .0003283 .0012822 .41 .42 ;0000002 .0000023 •.0000176 ;0001017 .0004683 .0017553 .42 1 , -v : oooooo4 .0000037 .0000268 ;0001493 ,0006597 .0023737 • It la .44 ;0000006 ;0000058 .0000405 :0002164 .0009183 .0031720 .44 •45 it /* .0000009 .0000090 .0000604 ;0003100 .0012631 .0041903 • 45 1 .^ • 46 .0000015 ;0000138 ;0000891 .’0004390 .0017178 .0054736 .46 • 47 i. Q .0000024 .0000209 .0001298 .0006147 .0023107 .0070724 i47 1,0 • 4o .0000038 .0000314 .0001871 .0008515 .0030749 .0090414 • 4o ll A .49 .0000058 .0000467 .0002670 .0011671 .0040491 .0114392 .49 cn • 50 .0000089 .0000686 ,0003770 .0015834 .0052779 .0143260 • 58 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P q. n-25 r= l6 n =25 r =15 n -25 r=l 4 n =25 r=l 3 n-25 r=l 2 .01 .02 .05 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .47 .48 .49 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .000000,0 .0000000 .0000001 .0000001 .0000003 .0000005 .0000010 .0000019 .0000035 .0000063 .0000110 .0000187 .0000312 .0000507 .0000805 .0001253 .0001913 .0002867 .0004223 .0006117 .0008723 .0012252 .0016964 .0023163 .0031210 .0041514 .0054541 .0070798 .0090836 .0115231 .0144574 .0179443 .0220387 .0267887 .0322335 .0000000 .0000000 .0000000 .0000000 ♦0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 •tioooooi .0000002 .0000004 .0000009 .0000018 .0000035 .0000066 .0000119 .0000209 .0000357 .0000593 .0000960 .0001516 .0002344 .0003549 .0005269 .0007678 .0010994 .0015481 .0021457 .0029290 .0039405 .0052279 .0068433 .0088427 .0112843 .0142267 .0177269 .0218372 .0266028 .0320577 .0382219 .0450975 • 0526662 .0608854 .0000000 .oopoooo .oopoooo . 00.00000 . 00.00000 . 00.00000 . 00.00000 . 00.00000 . 00.00000 .OO.OOOOO' .OQOOOOO . 00.00000 . 00.00000 .00.00001 .0000003 .0000006 .0000015 .0000030 .0000060 .0000115 .0000210 .0000373 .0000638 .0001061 .0001714 .0602699 .0604150 .0606239 .0609182 .0613249 .0618762 .0626105 .0635714 .0648085 .0063758 .0083314 .0107354 .0136475 .0171258 .0212224 .0259813 .0314342 .0375974 .0444686 .0520233 .0602127 .0689619 .0781691 .0877053 .0974166 .0000000 .0006000 .0000000 .0060000 .0000000 .0060000 .0060000 .0060000 .0000000 .0060000 .0060001 .0060002 .0000004 .0060010 .0000022 .0060048 .0060096 .0000188 .0060351 .0000627 .0001082 .0001803 .0002916 .0004581 .0007013 .0010478 .0015301 .0021875 .0030654 . 00421 56 .0056949 .0075645 .0098878 .0127283 .0161466 .0201975 .0249259 .0303641 .0365270 .0434096 .0509832 .0591942 .0679616 .0771769 .0867054 .0963879 . 10 * 604 40 ' .1154771 .1244798 .1328409 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .0000004 .0000012 .0000030 .0000067 .0000144 .0000289 .0000551 .0001001 .0001745 .0002927 .0004747 .000.7459 .0011386 .0016926 .0024546 .0034791 .0048265 .0065625 .0087560 .0114757 .0147884 .0187536 .0234211 .0288258 .0349843 .0418910 .0495151 .0577983 .0666541 .0759667 .0855939 .0953686 .1051034 .1145961 .1236356 .1320095 .1395119 .1459501 .1511539 .1549810 .0000000 .0000000 .0000000 .octooOoo .0000000 .0000000 ,0000000 .0000001 .0000005 .0006015 .0000036 . 0000088 .0000198 .0000415 .0000816 .0003/517. .0Q02j588 .0004559 .0007436 . 001-1711 .0017857. .0026444 .0038119 .0053596 .0073639 .0099019 .0130494 .0168752 .0214369 .0267768 .0329160 .0398514 .0475520 .0559560 .0649709 .0744728 .0843094 .0943026 .1042537 .1139500 .1231717 .1.316994 .1.393230 .L458494 .L 511101 .1549677 .1573218 .1581127 .1573235 .1549810 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 ,26 .27 .28 .29 .30 -31 .32 .33 .34 .35 .36 •37 .38 •59 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 53 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n=25 r=ll n-25 r=10 n=25 r=. 9 n=25 r- 8 n-25 r= 7 n=25 r-6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000004 .0000078 .02 .03 .0000000 .0000000 .0000000 .0000004 .0000061 .0000724 .03 .04 .0000000 .0000000 .0000003 .0000035 .0000378 .0003340 .04 .05 .0000000 .0000002 .0000017 .0000177 .0001492 .0010442 .05 .06 .0000001 .0000008 .0000076 .0000635 .0004418 .0025501 .06 .07 .0000003 .0000032 .0000258 .0001815 .0010722 .0052479 .07 .08 .0000012 .0000101 .0000722 .0004397 .0022474 .'0095220 .08 .09 .0000037 .0000277 .0001750 .0009370 .0042103 .0156841 .09 .10 .0000102 .0000673 .0003785 .0018038 .0072151 .0239235 .10 .11 .0000249 .0001476 .0007465 .0031976 .0114986 .0342756 .11 .12 .0000553 .0002974 .0013634 .OO5293I .0172517 .0466098 .12 .13 .0001137 .0005580 .0023337 .0082686 .0245937 .0606380 .13 .14 .0002185 .0009844 .0037791 .0122901 .0335538 .0759377 .14 .15 .0003962 .0016466 .OO583I6 .0174947 .0440610 .0919868 .15 .16 .0006828 .0026289 .0086261 .0239753 .0559424 .1082044 .16 .17 .0011249 .0040276 .0122900 .0317669 .0689323 .1239926 .17 .18 .0017802 .0059473 .0169331 .0408387 .0826858 .1387768 .18 .19 .0027175 .0084956 .0226363 .0510894 .0968009 .1520392 .19 .20 .0040148 .0117770 .0294423 .0623486 .1108419 .1633459 .20 .21 .0057580 .0158848 .0373483 .0743826 .1243646 .1723650 .21 .22 .0080363 .0208943 .0463000 .0869053 .1369417 .1788760 .22 .23 .0109385 .0268S48 .0561908 •0995914 .1481842 .1827719 *23 .24 .0145478 .0337831 .0668623 .1120928 .1577602 .1840536 .24 • 25 .0189356 .0416584 .0781094 .1240561 .1654081 .1828196 .25 .26 .0241564 .0504188 .0896873 .1351396 .1709458 .1792509 ,26 .27 .0302415 .0599603 .1013217 .1450292 .1742737 .1735944 .27 .28 .03.71941 .0701376 .1127211 .1534523 .1753740 .1661439 .28 .29 .0449859 .0807678 .1235887 .1601889 .1743052 .1572227 .29 .30 •0535535 .0916360 .1336359 .1650796 .1711936 .1471665 .30 .31 .0627982 .1025030 .1425948 .1680292 .1662224 .1363080 .31 .32 .0725866 .1131140 .1502296 .1690083 .1596189 .1249648 .32 .33 .0827527 .1232095 .1563455 .1680505 .1516416 .1134288 .33 .34 .0931032 .1325352 .1607964 .1652475 .1425665 .1019593 .34 .35 .1034230 .1408522 .1634893 .1607415 .1326755 .0907780 .35 .36 .1134825 .1479475 .1643861 .1547164 .1222450 .0800669 .36 .37 .1230462 .1536415 .1635036 .1473872 .1115363 .0699680 •37 .38 .1318818 .1577954 .1609098 .1389902 .1007882 .0605846 .38 .39 .1397687 .1603159 .1567191 .1297719 .0902118 .0519844 •39 .40 .1465072 .1611580 .1510855 .1199798 .0799864 .0442031 .40 .41 .1519260 .1603252 .1441949 .1098530 .0702582 .0372486 .41 .42 .1558890 .1578687 .1362556 .0996155 .0611397 .0311061 .42 .43 .1583006 .1538830 .1274902 .0894698 .0527HO .0257425 . 43 .44 .1591085 .1485013 .1181260 .0795930 .0450222 .0211110 .44 .45 .1583058 .1418889 .IO83874 .0701330 .0380970 .0171547 .45 .46 .1559303 .1342356 .0984881 .0612087 .0319350 .0138117 .46 .47 .1520618 .1257476 .0886253 .0529090 .0265170 .0110166 w47 .48 .1468189 .1166395 .0789747 .0452942 .0218084 .0087042 .48 .49 .1403528 .1071264 .0696868 .03839 8 9 .0177627 .0068113 .49 .50 .1328409 .0974166 .0608854 .0322335 .0143260 .0052779 . 50 54 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=25 r- 5 n=25 r- 4 n=25 r* 3 n=25 r? 2 n=25 r= 1 n=25 r- 0 p .01 .0000044 .0001024 .OOI8438 .0238084 .1964195 •.7778214 .01 .02 .0001135 .0013242 .0117975 .0754017 .3078902 .6034647 .02 .03 .0007021 .0054648 .0317738 .1340028 .3610629 .4669747 .03 .04 .0024047 .0137413 .0599618 .1877066 •3754133 .3603967 .04 .05 .0059519 .0269257 .0930159 .2305176 .3649863 .2773896 .05 .06 .0119854 .0447075 .1273486 .2602342 .3397503 .2129101 .06 .07 .0209165 .0661644 .1598258 .2769651 .3066400 .1629573 .07 .08 .0328508 .0899487 .1880746 .2821118 .2703571 .1243643 .08 .09 .0475752 .1145327 .2105553 .2776887 .2339785 .0946313 .09 .10 .0645937 .1384150 .2264974 .2658881 .1994161 .0717898 .10 .11 .0831961 .1602697 .2357687 .2488151 .1677617 .0542938 .11 .12 .1025414 .1790407 .2387208 .2283417 .1395421 .0409324 .12 .15 .1217423 .1939851 .2360377 .2060396 .1149068 .0307596 .13 .14 .1399423 .2046775 .2286009 .1831647 .0937628 .0230389 .14 .15 .1563776 .2109857 .2173792 .1606716 .0758727 .0171978 .15 .16 .1704219 .2130274 .2033443 .1392467 .0609204 .0127933 .16 .17 .1816127 .2111184 .1874100 .1193480 .0485583 .0094831 .17 .18 .1896616 .2057176 .1703924 .1012476 .0384366 .0070040 .18 .19 .1944501 .1973742 .1529886 .0850715 .0302227 .0051538 .19 .20 .1960151 .1866810 .1357681 .0708355 .‘0236118 .0037779 .20 .21 .1945262 .1742355 .1191741 .0584767 .0183320 .0027585 .21 .22 .1902591 .1606082 .1035326 .0478788 .0141459 .0020062 .22 .23 .1835665 .1463212 .0890650 .0388923 .0108504 .0014530 *23 .24 .1748509 .1318320 .0759033 .0313514 .0082733 .0010479 .24 • 23 .1645376 .1175268 .0641056 .0250848 .0062712 .0007525 .25 .26 .1530527 .•IO37170 .0536717 .0199250 .0047258 .0005380 ,26 .27 .1408042 .0906412 .0445577 .0157135 .0035404 .0003829 .27 .28 .1281680 .0784703 .0366874 .0123051 .0026368 , .0002712 .28 .29 .1154773 .0673144 .0299644 .0095688 .0019523 .0001912 .29 • 50 .1030165 .0572314 .0242800 .0073895 .0014369 .0001341 .30 .51 .0910186 .0482357 .0195206 .0056672 .0010512 .0000936 .31 .52 .0796651 .0403068 .0155730 .0043165 .0007643 .0000650 .32 .55 .0690885 .0333977 .0123286 .0032649 .0005524 .0000449 .33 .54 .0593763 .0274428 .0096857 .0024524 .0003967 .0000308 .34 .55 .0505763 .0223637 .0075514 .0018292 .0002831 .0000210 .35 .56 .0427023 .0180751 .0058425 .0013547 .0002007 .0000143 ,36 .57 ;0357404 .0144893 .0044857 .0009962 .0001414 .0000096 •37 .58 .0296545 .0115200 .0034174 .0007273 .0000988 .0000065 .38 .59 .0243927 .0090840 .0025833 .0005270 .OOOO687 .0000043 •39 .40 .0198914 .0071040 .0019375 .0003791 .0000474 .0000028 .40 . 41 .0160805 .0055096 .6014415 .0002706 .0000324 .0600019 .41 .42 .0128869 .0042371 .0010639 .0001916 .0000221 .0000012 .42 .0102372 .0032310 .0007787 .0001346 .0000149 .0000008 • 43 .44 .0080605 .0024426 .0005652 iOOOO938 .0000100 .0000005 .44 .45 .0062901 .0018305 .0004067 .0000649 .0000066 .0000003 • 45 .46 .0048641 .0013595 .0002902 .0000444 .0000044 .0000002 . 46 .47 .0037269 .0010006 .0002052 .00003'bl .0000029 .0000001 • 47 .48 .0028289 .0007297 .0001437 .0000203 .0000018- .0000001 .48 .49 .0021268 .0005270 .0000997 .0000136 .0000012 .0000000 .49 .50 .0015834 .0003770 .0000686 .0000089 .0000008 .0000000 • 30 832939 0 - 50 -5 55 BINOMIAL DISTRIBUTION / Table 1 - Individual Terms r n-r P <1 p n=26 r=25 n=26 r=24 n*26 r=23 n=26 r-22 n=26 r=21 n-26 r=20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000060 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000600 .0000000 . OQOOOOO .20 .21 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 *23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 ,26 .27 .0000000 .0000000 .0000000 .0000600 .0000000 .0000002 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .29 • 50 .0000000 .0000000 .0000000 .0000000 .0000001 .0000010 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000002 .0000017 ,31 .32 .0000000 .0000000 .0000000 .0000000 .0000004 .0000029 .32 .33 .0000000 .0000000 .0000000 .0000001 .0000007 •0000049 .33 .34 .0000000 .0000000 .0000000 .0000002 .0000011 .0000082 .34 .35 .0000000 .0000000 .0000000 .0000003 .0000020 .0000132 .35 • 36 .0000000 .0000000 .0000000 .0000005 .0000034 .0000211 .36 •37 .0000000 .0000000 .0000001 .0000007 .0000056 .0000333 •37 .38 .0000000 .0000000 .0000001 .0000013 .0000090 .0000516 .38 .39 .0000000 .0000000 .0000003 .0000020 .0000144 ..0000786 .39 .40 .0000000 .0000000 .0000004 .0000034 .0000225 .0001181 .40 .41 .0000000 .0000001 .0000006 .0000055 .0000347 .0001750 .41 .42 .0000000 .0000001 .0000011 .0006087 .0000529 .0002557 .42 • ^3 .0000000 .0000002 .0000018 .0000136 .0000795 .0003608 .43 .44 .0000000 .0000003 .0000029 .0000210 .0001179 .0005253 .44 .45 .0000000 .0000005 .0000046 .0000321 .0001727 .0007389 .45 .46 .0000001 .0000007 .0000072 .0000484 .0002500 .0010273 .46 .47 .0000001 .0000012 ,0000111 .0000721 .0003577 .0014118 >47 .48 .0000002 .OOO0O19 ,0000171 .0001061 .0005060 .0019187 .48 .49 .0000002 .0000032 .0000258 .0001546 .0007080 .0025794 .49 .50 .0000004 .0000048 .0000388 .0002228 .0009802 .0034307 .50 56 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p n*26 r=19 n=26 r=l8 n=26 r*l7 n=26 r=l6 n=26 r-15 n -26 r-14 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .12 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000003 .0000017 .14 .15 .0000000 .0000000 .0000000 .0000001 .0000005 .0000041 .15 .16 .0000000 .0000000 .0000000 .0000002 .0000013 .0000086 .16 .17 .0000000 .0000000 .0000001 ..0000004 .0000028 .0000174 .17 .18 .0000000 .0000000 .0000001 .0000009 .0000059 .0000334 .18 .i9 .0000000 .0000000 .0000005 ..0000019 .0000115 .0000616 .19 .20 .0000000 .0000001 .0000005 .0000038 .0000217 .0001087 .20 .21 .0000000 .0000002 .0000011 .0000072 .0000394 .0001851 .21 .22 .0000000 .0000004 .0000022 .0000133 .0000688 .0003047 .22 .25 .0000001 .0006006 .0000042 .0000239 .0001162 .0004863 *23 .24 .0000002 .0000012 .0000077 .0000414 .0001905 .0007544 .24 .25 .0000004 .0000022 .0000137 .0000696 .0003039 .0011397 .25 .26 .0000006 .0000041 .0000236 .0001141 .0004722 .0016798 ,26 .27 .0000011 .0000073 .0000396 .0001821 .0007161 .0024202 .27 .28 .0000021 .0000126 .0000649 .0002839 .0010617 .0034125 .28 .29 .0000036 .0000213 .0001039 .0004327 .0015409 .0047157 .29 • 50 .0000063 .0000349 .0001628 .0006459 .0021921 .0063936 .30 .51 .0000106 .0000561 .0002498 ,0009452 .0030601 .0085138 .31 .52 .0000175 .0000885 .0003757 .0013575 ,0041-957 .0111450 .32 .55 .0000283 .0001366 .0005549 .0019152 .0056558 .0143538 .33 •34 .0000449 .0002074 .0008050 .0026567 .0075012 .0182015 .34 .35 .0000701 .0003093 .0011486 .0036262 .0097956 .0227398 .35 .36 .0001075 .0004535 .0016127 .0048739 .0126032 .0280071 .36 .37 .0001619 .0006548 .0022299 •0064546 .0159859 .0340239 •37 .38 .0002403 .0009311 .0030383 .0084273 .0199998 .0407892 .38 .39 .0003513 .0013048 .0040818 .0108535 .0246923 .0482765 .39 .40 .0005062 .0018032 .0054097 .0137946 .0300972 .0564324 .40 .41 .0007194 .0024586 .0070758 .0173101 .0362321 .0651736 .41 .42 .0010089 .0033087 .0091386 .0214538 .0430934 .0743875 ,42 .0013967 .0043973 .0116581 .0262712 .0506540 .0839326 .4} .44 .0019099 ,0057731 .0146952 .0317950 .0588603 .0936413 .44 • 45 .0025803 .0074901 .0183090 .0380420 .0676302 .1033240 .45 .46 .0034455 .0096061 .0225535 .0450090 .0768533 .1127739 .46 .47 .0045487 .0121822 .0274748 .0526697 .0863905 .-1217739 .47 .48 .0059389 .0152801 .0331069 .0609719 .0960769 .1301041 .48 .49 .0076702 .0189605 .0394686 .0698354 .1057248 .1375501 .49 .50 .0098019 .0232797 .0465595 .0791510 .1151287 .1439110 .50 57 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n-26 r=l3 n=26 r=12 n=26 r=H n=26 r-10 n-26 r= 9 n=26 r= 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000004 .0000049 .04 .05 .0000000 .0000000 .0000000 .0000002 .0000026 .0000242 .05 .06 .0000000 .0000000 .0000001 .0000012 .0000110 .0000862 .06 .07 .0000000 .0000001 .0000005 .0000047 .0000367 .0002439 • °7 .08 .0000000 .0000002 .0000019 .0000150 .0001017 .0005843 .08 .09 .0000001 .0000007 .0000059 .0000410 .0002436 .0012315 .09 .10 .0000003 .0000022 .0000159 .0000984 .0005211 .0023449 .10 .11 .0000008 .0000059 .0000384 .0002135 .0010161 .0041108 .11 .12 .0000021 .0000144 .0000844 .0004253 .0018350 .0067281 .12 .13 .0000052 .0000320 .0001714 .0007889 .0031053 .0103908 .13 .14 .0000116 .0000663 .0003257 .0013756 .0049707 .0152670 .14 .15 .0000244 .0001288 .OOO5838 .0022743 .0075811 .0214797 .15 .16 .0000485 .0002368 .0009942 .0035884 .0110819 .0290901 .16 .17 .0000914 .0004143 .0016184 .OO54322 .0156011 .0380850 .17 .18 .0001642 .0006943 .0025302 .0079247 .0212362 .0483712 .18 .19 .0002825 .0011187 .0038153 .0111824 .0280424 .0597746 .19 .20 .0004684 .0017398 .0055673 .0153100 .0360237 .0720472 .20 .21 .0007500 .0026199 .0078846 .0203922 .0451254 .0848789 .21 .22 .0011635 .0038307 .0108650 .0264836 .0552332 .0979133 .22 .23 .0017535 .0054510 .0145993 .0336021 .0661729 .1107677 .23 .24 .0025727 .0075648 .0191642 .0417221 .0777177 .1230530 .24 .23 .0036819 .0102568 .0246163 .0507711 .0895961 .1343941 .25 ,26 .0051491 .0136081 .0309846 .0606286 .1015048 .1444493 ,26 .27 .0070467 .0176912 .0382656 .0711278 .1131228 .1529252 .27 .28 .0094501 .0225644 .0464184 .0820609 .1241259 .1595903 .28 .29 .0124335 .0282661 .0553627 .0931858 .1342028 .1642826 .29 • 50 .0160661 .0348098 .0649782 .1042360 .1430689 .1669138 .30 .51 . 0.20 4079 .0421795 .0751067 .1149314 .1504795 .1674691 -31 .52 .0255050 .0503266 .0855554 .1249910 .1562388 .1660037 .32 .55 .0313843 .0591682 .0961034 .1341445 .1602081 .1626355 .33 .54 .0380500 .0685861 .1065101 .1421440 .1623098 .1575359 .34 .55 .0454796 .0784291 .II65232 .1487753 .1625275 .1509184 • 35 • 56 .0536205 .0885163 .1258899 .1538654 .1609050 .1430267 .36 •37 .0623890 .0986420 .1343665 .1572905 .1575405 .1341224 •37 .58 .0716699 .1085827 .1417290 .1589788 .1525804 .1244734 .38 .59 .0813179 .1181046 .1477821 .1589131 .1462097 .1143435 .40 .0911601 .1269729 .1523675 .1571290 .1386432 .1039825 .40 .41 .1010008 .1349610 .1553696 .1537118 .1301147 .0936191 .41 .42 .1106275 .1418591 .1567205 .1487911 .1208668 .0834557 .42 .1198178 .147483^ .1564010 .1425341 .1111414 .0736635 .43 .44 .1283475 .1516835 .1544413 .1351362 .1011714 .0643819 .44 .45 •1359991 .1543482 .1509182 .1268133 .0911729 .0557168 .45 .46 .1425703 .155^105 .1459507 .1177917 .0813396 .0477428 .46 .47 .1478825 .1548496 .1396942 .IO83001 ,0718386 .9405048 .47 .48 .1517882 .1526917 .1323328 .0985603 .0628081 .0340211 .48 .49 .1541770 .1490079 .1240718 .0887810 .0543557 .0282872 .49 • 50 .1549810 .1439110 .1151287 .0791510 .0465595 .0232797 .50 58 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n-26 r= 7 n=26 r- .01 .0000000 .0000002 .02 .0000006 .0000098 .03 .0000081 .0000913 .04 .0000497 .0004168 .05 .0001940 .0012896 .06 .0005683 .0031162 .07 .0013644 .0063447 .08 .0028294 .OII3883 .09 .0052430 .0185543 .10 .0088859 .0279906 .11 .0140040 .0396568 .12 .0207747 .0533215 .13 .0292795 .0685815 .14 .0394876 .0848983 .15 .0512498 .1016454 .16 .0643043 .1181592 .3-7 .0782925 .1337880 .18 .0927822 .1479360 .19 .1072962 .1600972 .20 .1213427 .1698797 .21 .1344447 .1770188 .22 .1461673 .1813802 .23 .1561394 .1829547 .24 .1640706 .1818449 .23 .1697610 .1782491 .26 .1731051 .1724394 .27 .1740903 .1647410 .28 .1727896 .1555106 .29 .1693513 .1451165 • 50 .1639855 .1339215 .31 .1569490 .1222683 .52 .1485296 ;1104689 .55 .1390314 .0987965 .54 .1287600 .0874811 .55 .1180114 .0767074 • 56 .1070609 .0666156 •37 .0961560 .0573037 .58 .0855108 .0488312 •39 .0753031 .0412237 .40 .0656731 .0344783 .41 .0567243 .0285697 .42 .0485256 .0234540 • J3 .0411146 .0190752 .44 .0345012 .0153688 •}5 .0286729 .0122657 .46 .0235983 .0096958 .47 .0192318 .0075904 .48 .0155183 .0058841 .49 .0123965 .0045159 .50 .0098019 .0034307 n*26 r- 5 n=26 r= 4 n=26 r* 3 n=26 r= 2 P .0000053 .0001199 .0020634 .0255345 .01 .0001378 .0015336 .0130697 .0800514 .02 .0008431 .0061959 .0348407 .1408146 .03 .0028582 .0155900 .0650717 .1952149 .04 .0070006 .0302302 .0998910 .2372411 .05 .0139487 .0496650 .1353218 .2650052 .06 .0240839 .0727207 .1680255 .2790424 .07 .0374186 .0977988 .1955975 .2811714 .08 .0536013 .1231748 .2165972 .2737549 .09 .0719758 .1472233 .2304364 .2592409 .10 .0916743 .1685746 .2372037 .2398993 .11 .1117214 .1862023 .2374753 .2176858 .12 .1311339 .1994519 .2321380 .1941923 .13 .1490053 .2080267 .2222398 .1706485 .14 .1645689 .2119447 .2088731 .1479517 .15 .1772388 .2114781 .1930887 .1267145 .16 .1866287 .2070880 .1758394 .1073138 .17 .1925517 .1993590 .1579463 .0899417 .18 .1950057 .1889409 .1400844 .0746502 .19 .1941483 .1764984 .1227816 .0613907 .20 .1902652 .1626726 .1064276 .0500463 .21 .1837359 .1480516 .0912888 .0404575 .22 .1750001 .1331522 .0775253 .0324427 *23 .1645264 .1184091 .0652108 .0258127 .24 .1527849 .1041715 .0543504 .0203814 .25 .1402254 .0907052 .0448976 .0159732 ,26 .1272602 .0781987 .0367697 .0124268 .27 .1142527 .0667711 .0298603 .0095980 .28 .1015101 .0564829 .0240497 .0073600 .29 .0892810 .0473460 .0192128 .0056038 .30 .0777559 .0393339 .0152261 .0042363 -31 .0670704 .0323919 .0119710 .0031798 .32 .0573105 .0264450 .0093376 .0023697 .33 .0485189 .0214054 .0072264 .0017535 .34 .0407019 .0171794 .0055486 .0012881 • 35 .0338366 .0136713 .0042269 .0009393 • 36 .0278776 .0107879 .0031946 .0006799 •37 .0227634 .0084410 .0023952 .0004884 .38 .0184222 .0065488. .0017813 .0003483 .39 .0147765 .0050374 .0013141 .0002464 .40 .0117464 .0038417 .0009614 .0001730 .41 .0092540 .0029044 .0006975 .0001204 .42 .0072245 .0021765 .0005018 .OOOO83I .43 .0055885 .0016166 .0003578 .0000569 .44 .0042832 .OOH898 .0002529 .OOOO386 .43 .0032520 .0008676 .0001772 .0000259 .46 .0024456 .0006267 .0001229 .0000174 >47 .0018212 .0004484 .0000845 .0000115 . .48 .0013429 .0003177 .0000575 .0000075 .49 .0009802 .0002228 .OOOO388 .0000048 .50 59 BIN0MI4L DISTRIBUTION Table 1 - Individual Terms q 11 - 1 p n=26 r= 1 n=26 r= 0 n=27 r=26 n=27 r=2 5 n=27 r=£4 n=27 r =23 p .01 .2022336 .7700431 .0000000 .0000000 .0000000 .0000000 .01 .02 .3138017 .5913954 .0000000 .0000000 .0000000 .0000000 .02 .03 .3642402 .4529655 .0000000 .0000000 .0000000 .0000000 .03 .04 •3748126 .3459808 .0000000 .0000000 .0000000 .0000000 .04 .05 .3606064 .2635201 .0000000 .0000000 .0000000 .OOOOQO0 .05 .06 .3321398 .2001355 .0000000 .0000000 .0000000 .0000000 .06 .07 .2965822 .1515503 .0000000 .0000000 .0000000 .0000000 .07 .08 .2586778 .1144151 .0000000 .0000000 .0000000 .0000000 .08 .09 .2214372 .0861145 .0000000 .0000000 .0000000 .0000000 .09 .10 .1866535 .0646108 .0000000 .0000000 .0000000 .0000000 .10 .11 .1552802 .0483215 .0000000 .0000000 .0000000 .0000000 .11 .12 .1277089 .0360205 .0000000 .0000000 .0000000 0000000 .12 .13 .1039676 .0267609 .0000000 .0000000 .0000000 .0000000 .13 .14 .0838615 .0198134 .0000000 .0000000 .0000000 ..0000000 .14 .15 .0670715 .0146181 .0000000 .0000000 .0000000 .0000000 .15 .16 .0532200 .0107464 .0000000 .0000000 .0000000 .0000000 .16 .17 .0419155 .0078710 .0000000 .0000000 .0000000 .0000000 .17 .18 .0327787 .0057433 .0000000 .0000000 .0000000 .0000000 .18 .19 .0254596 .0041746 .0000000 .0000000 .0000000 .0000000 .19 .20 .0196451 .0030223 .0000000 .0000000 .0000000 .0000000 .20 .21 .0150616 .0021792 .0000000 .0000000 .0000000 .0000000 .21 .22 .0114752 .0015648 .0000000 .0000000 .0000000 .0000000 .22 .23 .0086890 .0011188 .0000000 .0000000 .0000000 .0000000 *23 .24 .0065392 .0007964 .0000000 .0000000 .0000000 .0000000 .24 .25 .0048915 .0005644 .0000000 .0000000 .0000000 .0000000 .-25 .26 .0036370 .0003981 .0000000 .0000000 .0000000 .0000000 .26 .27 .0026879 .0002795 .0000000 .0000000 .0000000 .0000000 .27 .28 .0019744 .0001953 .0000000 .0000000 .0000000 .0000000 .28 .29 .0014416 .0001357 .0000000 .0000000 .0000000 .0000000 .29 • 50 .0010460 .0000939 .0000000 .0000000 .0000000 .0000000 .30 .31 .0007543 .0000646 .0000000 .0000000 .0000000 .0000000 -31 .52 .0005405 .0000442 .0000000 .0000000 .0000000 .0000000 .32 .33 .0003849 .0000301 .0000000 .0000000 .0000000 .0000000 .33 .3^ .0002723 .0000203 .0000000 .0000000 .0000000 .0000001 .34 .35 .0001913 .0000137 .0000000 .0000000 .0000000 .0000001 .35 • 36 .OOOI336 .0000091 .0000000 .0000000 .0000000 .0000002 .36 •37 .0000926 .0000061 .0000000 .0000000 .0000000 .0000004 .37 .38 .OOOO638 .0000040 .0000000 .0000000 .0000001 .0000005 .38 .39 .0000436 .0000026 .0000000 .0000000 .0000001 .0000010 .39 .40 .0000296 .0000017 .0000000 .0000000 .0000002 .0000016 .40 .41 .0000199 .0000011 .0000000 .0000000 .0000003 .0000027 .41 .42 .OOOOI33 .0000007 .0000000 .0000000 .0000006 •0000043 .42 •43 .0000089 .0000004 .0000000 .0000001 .0000008 .0000069 .*3 .44 .0000058 .0000003 .0000000 .0000001 .0000015 .0000108 .44 .45 .0000038 .0000002 .0000000 .0000002 .0000024 .0000169 .*5 .46 .0000025 .0000001 .0000000 .0000004 .0000037 .0000262 .46 .47 .0000015 .0000001 .0000000 .0000007 .0000058 .0000398 .47 .48 .0000010 .0000000 .0000001 .0000010 .0000092 .0000598 .48 .49 .0000006 .0000000 .0000001 .0000017 .0000142 .0000889 .49 .50 .0000004 .0000000 .0000002 .0000026 .0000218 .0001308 .50 60 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p | n=27 r-22 n=27 r-21 n-27 r=2Q n*27 r»19 n-27 r-18 n=27 r-17 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .2.7 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000004 .0000024 .21 .22 .0000000 .0000000 .0000000 .0000001 .0000007 .0000047 .22 .23 .0000000 .0000000 .0000000 .0000002 .0000015 .0000087 *23 .24 .0000000 .0000000 .0000001 .0000004 .0000027 .0000158 .24 .25 .0000000 .0000000 .0000001 .0000008 .0000052 .0000276 .25 ,26 .0000000 .0000000 .0000002 .0000016 .0000092 .0000471 ,26 .27 .0000000 .0000001 .0000004 .0000028 .0000160 .0000781 .27 .28 .0000000 .0000001 .0000008 .0000050 .0000273 .0001262 .28 .29 .0000000 .0000002 .0000014 .0000088 .0000452 .0001993 .29 • 50 .0000000 .0000004 .0000026 .0000148 .0000733 .0003078 .30 .31 .0000001 .0000007 .0000044 .0000247 .0001162 .0004653 -31 .32 .0000002 .0000012 .0000075 .0000402 .0001804 .0006899 .32 .33 .0000003 .0000021 .0000126 .0000641 .0002747 .0010037 .33 .34 .0000005 .0000035 .0000206 .0001002 .0004106 .0014345 .34 .35 .0000009 .0000059 .0000332 .0001538 .0006030 .0020157 .35 .36 .0000015 .0000098 .0000522 .0002320 .0008709 .0027867 .36 .37 .0000025 .0000158 .0000809 .0003443 .0012376 .0037930 •37 .38 .0000042 .0000252 .0001233 .0005028 .0017318 .0050862 .38 .39 .0000068 .0000395 10001849 .0007231 .0023879 .0067228 •? 9 .40 .0000110 .0000608 .0002733 .0010250 .0032458 .0087636 .40 .41 .0000175 .0000922 .0003982 .0014324 .0043517 .0112719 .41 .42 .0000272 .0001381 .0005720 .0019748 .0057573 .0143110 .42 •if? .0000420 .0002039 .0008108 .0026870 .0075194 .0179417 .43 .44 .0000637 .0002971 .0011345 .0036097 .0096989 .0222191 .44 .0000954 .0004275 .0015676 .0047896 .0123586 .0271889 .45 .46 .0001411 .0006076 10021396 .0062794 .0155619 .0328830 .46 .47 .0002064 .0008531 .0028861 .0081365 .0193697 .0393163. .47 .48 .0002981 .0011841 .0038484 .0104226 .0238370 .0464821 .48 .49 .0004258 .0016250 .0050739 .0132024 .0290095 .0543484 .49 .50 .0006015 .0022054 .0066163 .0165409 .0349196 .0628552 .50 61 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r q p n=27 r-16 n =27 r-15 n =27 r=i 4 n =27 r=i 3 n*27 r-12 n =27 P .01 .0000000 .0000000 .0000.000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000004 .0000029 .08 .09 .0000000 .0000000 .0000000 .0000002 .0000011 .0000091 .09 .10 .0000000 .0000000 .0000001 ,0000004 .0000036 .0000242 .10 .11 .0000000 .0000000 .0000002 .0000013 .0000095 .0000577 .11 .12 .0000000 .0000001 .0000005 .0000035 .0000228 .0001253 .12 .13 .0000000 .0000002 .0000013 .0000086 .0000502 .0002517 .13 .14 .0000001 .0000004 .0000031 .0000193 .0001026 .0004727 .14 .15 .0000002 .0000010 .0000071 .0000401 .0001971 .0008373 .15 .16 .0000004 .0000025 .0000150 .0000786 .0003579 .0014093 .16 • !7 .0000008 .0000054 .0000299 .0001463 .0006190 .0022667 .17 .18 .0000018 .0000108 .0000570 .0002595 .0010248 .0035013 .18 .19 .0000037 .0000211 .0001035 .0004415 .0016310 .0052151 .19 .20 .0000073 .0000392 .0001806 .0007227 .0025053 .0075158 .20 .21 .0000140 .0000699 .0003038 .0011427 .0037255 .0105112 .21 .22 .0000255 .0001207 . 000^937 .0017503 .0053782 .0143011 .22 .23 .0000451 .0002014 .0007777 .0026040 .0075551 .0189699 *23 .24 .0000772 .0003259 .0011908 .0037707 .0103487 .O24578I .24 .25 .0001282 .0005129 .0017752 .0053256 .0138467 .0311550 .25 .26 .0002071 .0007862 ,0025819 .0073484 .0181260 .0386920 ,26 .27 .0003263 .0011762 .0036693 .0099207 .0232463 .0471384 .27 .28 .0005017 .0017199 .0051030 .0131221 .0292436 .0563982 .28 .29 .0007541 .0024616 .0069538 .0170249 .0361242 .0663314 .29 • 30 .0011097 .0034526 .0092953 .0216892 .0438603 .0767556 .30 .31 .0016008 .0047508 .0122010 .0271571 .0523869 .0874524 .31 .32 .0022657 .0064195 .0157^02 .0334479 .0615999 .0981747 .32 .33 .0031496 .0085262 .0199738 .0405530 .0713568 .1086570 *33 .34 .0043038 .0111393 .0249500 .0484323 .0814802 .1186257 • 34 .35 .0057856 .0143260 .0306988 .0570119 .0917620 .1278115 • 35 .36 .0076565 .0181486 .0372279 .0661830 .1019708 .1359610 .36 •37 .0099812 .0226599 .0445190 .0758026 .1118601 .1428484 .37 .38 .0128249 .0278997 .0525239 .0856967 .1211783 .1482839 .38 .39 .0162506 .0338961 .0611627 .0956647 .1296788 .1521232 .39- .40 .0203157 .0406313 .0703235 .105^852 .1371307 .1542721 .40 .41 .0250681 .0480981 .0798627 .1149245 .1433285 .1546900 .41 .42 .0305425 .0562369 .0896082 .1237448 .1481009 .1533902 .42 .0367558 .0649638 .0993632 .1317140 .1513180 .1504382 .43 .44 .0437037 .0741639 .1089121 .1386153 .1528970 .1459470 .44 .45 .0513567 .0836924 .1180278 .1442562 .1528047 .1400710 .45 .46 .0596574 .0933768 .126^802 . 1^84768 .1510590 .1329976 .46 .47 .0685185 .1030207 .1340450 .1511570 .1477266 .1249389 .47 .48 .0778223 .1124100 .1^05125 .1522218 .1429194 .1161221 .48 .49 .0874211 .1213192 .1456974 .1516441 .1367892 .1067793 .49 • 50 .0971399 .1295198 .1494460 .1494460 .1295198 .0971399 • 50 62 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=27 r =10 n=27 r= 9 n=27 r- 8 n =27 r= 7 n=27 r= 6 n-27 r - 5 P .01 .0000000 .0000000 .0000000 .0000000 .0000002 .0000065 .01 .02 .0000000 .0000000 .0000000 .0000008 .0000124 .0001656 .02 .03 .0000000 .0000001 .0000008 .0000105 .0001139 .0010037 .03 .04 .0000000 .0000006 .0000067 .0000643 .0005145 •0033675 .04 .05 .0000004 .0000036 .0000327 .0002487 .0015752 .0081621 .05 .06 .0000018 .0000155 .0001151 .0007211 .0037652 .0160918 .06 .07 .0000069 .0000513 .0003223 .0017131 .0075864 .0274884 .07 .08 .0000220 .0001402 .0007640 .0035141 .0134707 .0422490 .08 .09 .0000592 .0003325 .0015926 .0064409 .0217086 .0598629 .09 .10 .0001406 .0007035 .0029990 .0107964 .0323891 .0795005 .10 .11 .0003018 .0013565 .0051990 .OI68258 .0453788 .1001333 .11 .12 .0005945 .0024222 .0084137 .0246803 .0603295 .1206591 .12 .15 .0010899 .0040525 .0128463 .0343888 .0767133 .1400152 .13 .14 .0018789 .0064122 .0186579 .0458451 .0938733 .1572682 .14 .15 .0030704 .0096658 .0259452 .0588092 .1110840 .1716752 .15 .16 .0047874 .0139632 .0347244 .0729211 .1276119 .1827171 .16 .17 .0071609 .0194234 .0449203 .0877268 .1427709 .1901068 .17 .18 .0103207 .0261205 .0563652 .1027099 .1559668 .1937770 .18 .19 .0143857 .0340715 .0688037 .1173285 .1667298 .1938534 .19 .20 .0194528 .0432283 .0819063 .1310501 .1747335 .1906183 .20 .21 .0255861 .0534737 .0952877 .1433852 .1798006 .1844707 .21 .22 .0328085 .0646228 .1085292 .1539141 .1818985 .1758853 .22 .23 .0410934 .0764297 .1212032 .1623069 .1811251 .1653751 *23 .24 .0503611 .0885981 .1328972 .OL683365 .177688 .1534583 .24 .25 .0604773 .1007956 .1432359 .1718830 .1718830 .1406316 .25 .26 .0712565 .1126703 .1518998 .1729321 .1640637 .1273502 ,26 .27 .0824665 .1238694 .1586398 .1715660 .1546212 .1140136 .27 .28 .0938392 .1340559 .1632861 .1679515 .1439584 .1009578 .28 .29 .1050807 .1429259 .1657526 .1623232 .1324706 .0884522 .29 .50 .1158859 .1502224 .1660353 .1549663 .1205293 .0767005 • 30 .51 .1259513 .1557462 .1642079 .1461980 .1084694 .0658451 -31 .52 .1349903 .1593635 .1604120 .1363502 .0965814 .0559733 .32 .55 .1427454 .1610092 .1548462 .1257538 .0851062 .0471248 .33 .54 .1490003 .1606867 .1477521 .1147252 .0742339 .0393004 • 34 .55 .1535885 .1584643 .1394010 .1035550 .0641055 .0324690 • 35 .56 .1563997 .1544688 .1300790 .0925006 .0548152 .0265770 .36 .57 .1573830 .1488758 .1200748 .0817807 .0464160 .•0215544 •37 .58 .1565474 .1418998 .1096676 .0715726 .0389254 .0173209 .38 .59 .1539588 .1337819 .0991177 .0620121 .0323311 .0137916 •39 .40 .1497347 .1247789 .0886587 .0531952 .0265976 .0108809 .40 .41 .1440370 .1151315 .0784922 .0451809 .0216721 .0085055 .41 .42 .1370629 .1051541 .0687850 .0379956 .0174900 .0065871 .42 .1290353 .0950259 .0596675 .0516376 .0139794 .0050539 .43 .44 .1201917 .0849840 .0512344 .0260830 .0110655 .0038409 .44 .45 .1107751 .0752176 .0435471 .0212897 .0086735 .0028912 • 45 .46 .1010237 .0658851 .0366363 .0172031 .0067317 .0021552 . 46 .47 .0911632 .0571117 .0305065 .0137604 .0051723 .OOI5907 .47 .48 .0813992 .0489903 .0251398 .0108939 .0039339 .0011623 .48 .49 .0719126 .0415821 .0205008 .0085350 .0029611 .0008406 .49 .50 .0628552 .0349196 .0165409 .0066163 .0022054 .0006015 .50 63 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q „-r p n=27 r= 4 n=27 r= 3 n=27 r-- 2 n-27 r= 1 n=27 r* 0 n=28 r-27 p .01 .0001393 .0022981 .0273015 .2079117 .7623427 .0000000 .01 .02 .0017644 .014^093 .0847264 ,3193536 .5795675 .0000000 .02 .03 .0070552 .0380200 .1475173 ,3669020 .4393765 .0000000 .03 .04 .0175693 .0702774 .2023988 .3736593 .3321416 .0000000 .04 .05 .0337132 .1067585 .243^094 .3557521 .2503441 .0000000 .05 .06 .0548053 .1431028 .2690332 .3242196 .1881274 .0000000 .06 .07 .0793921 .1757967 .2802702 .2864300 .1409417 .0000000 .°T .08 .1056227 .2024434 .2793720 .2471367 .1052619 .0000000 .08 .09 .1315829 .2217414 .2690462 .2092582 .0783642 .0000000 .09 .10 .1555446 .2333169 .2519822 .1744492 .0581497 .0000000 .10 .11 .1761238 .2375003 .2305911 .1435148 .0430061 .0000000 .11 .12 .1923550 .2351006 .2068885 .1167064 .0316980 .0000000 .12 .13 .2037011 .2272051 .182^631 .0939307 .0232820 .0000000 .13 .14 .2100166 .'2150170 .1584983 .0748947 .0170396 .0000000 .14 .15 .2114840 .1997348 .1358197 .0592035 .0124254 .0000000 .15 .16 .2085358 .1824688 .1149554 .0464243 .0090269 .0000000 .16 .17 .2017757 .1641901 .0961960 .0361280 .0065329 .0000000 .17 .18 .1919048 .1457054 .0796524 .0279123 .0047095 .0000000 .18 .19 .1796582 .1276518 .0653040 .0214155 .0033814 .0000000 .19 .20 .1657551 .1105033 .0530416 .0163205 .0024179 .0000000 .20 .21 .1508612 .0945875 .0426995 .0123563 .0017216 .0000000 .21 .22 .1355638 .0801059 .0340814 .0092950 .0012205 .0000000 .22 .23 .1203580 .0671563 .0269794 .0069478 .0008615 .OOOOOOQ *23 .24 .1056415 .0557553 .0211870 .0051609 .0006053 .0000000 .24 .25 .0917162 .0458581 .OI65089 .0038098 .0004233 .0000000 .25 .26 .0787952 ,0373772 .0127658 .0027949 .0002946 .0000000 .26 .27 .0670128 .0301972 .0097972 .0020377 .0002040 .0000000 .27 .28 .0564361 .0241868 .0074634 .0014763 .0001406 .0000000 .28 .29 .0470773 .0192097 .0056437 .0010628 .0000964 .0000000 .29 • 30 .0389060 .0151302 .0042364 ,0007604 .0000657 .0000000 .30 .31 .0318605 ..0118193 .0031568 ,0005405 .0000446 .0000000 .31 .32 .0258572 .-009r578 .0023352 .OOO3818 .0000300 .0000000 .32 .33 .0207996 .0070382 .0017148 .0002678 .0000201 .0000000 .33 .34 .0165845 ,0053656 .0012499 .0001866 .0000134 .0000000 .34 .35 .0131086 .0040 57*1 .0009042 .0001292 .0000089 .0000000 .35 • 36 .0102714 .0030433 .0006493 .-0000888 .0000058 .0000000 .36 •37 .0079784 .0022642 .0004626 .0000606 .0000038 .0000000 .38 .OO61436 .0016706 .0003271 .0000410 .0000025 .0000000 .38 •39 .0046895 .0012224 .0002295 .0000276 .0000016 .0000000 .40 .0035481 .0008870 .0001597 .0000184 .0000010 .0000000 .40 .41 .0026608 .0006382 .0001102 .0000121 .0000007 .0000000 .41 .42 .0019775 .0004552 .0000754 .0000080 .0000004 .0000000 .42 • 43 .0014564 .0003217 .0000512 .0000052 .0000003 .0000000 .43 .44 .0010627 .0002254 .0000345 .0000033 .0000002 .0000000 .44 .45 .0007682 .0001565 .0000229 .0000022 .0000001 .0000000 .45 . 46 .0005500 .0001076 .0000152 .0000013 .0000001 .0000000 .46 .47 .0003900 .0000733 .0000099 .0000009 .00000:0.0 .0000000 .47 .48 ,0002737 .0000494 .0000064 .0000006 .0000000 . 0000000 .48 .49 .0001901 .0000330 .0000042 .0000003 .0000000 .0000001 .49 .50 .0001308 .0000218 .0000026 .0000002 .0000000 .0000001 • 50 64 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p | n=28 r*26 n=28 r=25 n-28 r=24 n-28 r=23 n=28 r=22 n=28 r-21 p .01 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .01 .02 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .02 .03 .0000000 ,0000000 .ooooooo .ooooooo .ooooooo .ooooooo .03 .04 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .04 .05 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .05 .06 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .06 .07 .0000000 .0000000 .ooooooo •OOOOOOO .ooooooo .ooooooo .07 .08 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .08 .09 .0000000 .ooooOoo .ooooooo .ooooooo .ooooooo .ooooooo .09 .10 .o'oooooo .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .10 .11 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .11 .12 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .12 .15 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .13 .14 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .14 .15 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo •OOOOOOO .15 .16 , .0000000 .ooooooo •OOOOOOO .ooooooo .ooooooo .OOOOOOO .16 .17 .0000000 .ooooooo .OOOOOOO .ooooooo .ooooooo •OOOOOOO .17 .18 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .OOOOOOO .ooooooo .ooooooo .ooooooo .ooooooo .19 .20 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .ooooooo .ooooooo •OOOOOOO .ooooooo .ooooooo .21 .22 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .22 .23 .0000000 .OOOOOOO .ooooooo .ooooooo .ooooooo .ooooooo .23 .24 .0000000 .oooOooo .ooooooo .ooooooo .ooooooo .ooooooo .24 .25 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .25 .26 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .0000001 ,26 .27 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .0000002 .27 .28 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .0000003 .28 .29 .0000000 .ooooooo .ooooooo .ooooooo .0000001 .0000005 .29 • 30 .0000000 .ooooooo .ooooooo .ooooooo .0000002 .0000010 .30 .31 .0000000 .ooooooo .ooooooo .ooooooo .0000003 .0000018 ,31 .32 .0000000 .ooooooo .ooooooo .0000001 .0000004 .0000033 .32 .33 .0000000 .ooooooo .ooooooo .0000001 .0000009 .0000055 .33 .34 .0000000 .ooooooo .ooooooo .0000002 .0000016 .0000093 .34 .35 .0000000 .ooooooo .ooooooo .0000004 .0000027 .0000154 .35 • 36 .0000000 .ooooooo .0000001 .0000006 .0000045 .0000251 ,36 •37 .0000000 .ooooooo .0000002 .0000011 .0000075 .0000399 •37 .38 .0000000 .ooooooo .0000003 .0000019 .0000122 .0000625 .38 •39 .0000000 .ooooooo .0000005 .0000032 .0000196 .0000962 •?9 .40 .0000000 .0000001 .0000007 .0000054 .0000309 .0001458 .40 .41 .0000000 .0000002 .0000012 .0000087 .0000482 .0002176 .41 .42 .0000000 .0000003 .0000021 .0000139 .0000738 .0003203 .42 •J3 .0000000 .0000005 .0000034 .0000220 .0001115 .0004649 .43 .44 .0000001 .0000007 .0000056 .0000341 .0001663 .0006656 .44 5 .0000001 .0000012 .0000089 .0000523 .0002448 .0009405 .45 • 45 .0000002 .0000019 .0000140 .0000791 .0003557 .0013123 .46 .47 .0000003 .0000031 .0000218 .0001181 .0005103 .0018087 .47 .48 .0000006 .0000049 .0000335 .0001742 .0007234 .0024629 .48 .49 .0000008 .0000078 .0000509 .0002540 .0010134 .0033149 .49 .50 .0000014 .0000122 .0000763 .0003661 .0014035 .0044109 .50 65 BINOMIAL DISTBIBUTION Table 1 - Individual Terms r n-r P q p n=28 r=20 n=28 r =19 n=28 r=l8 n-28 r=17 n - 2 & r-l6 n=28 r=15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .00000.00 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000600 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0600000 .0000000 .0000000 .09 .10 .0000000 . 0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000003 .0000020 .15 .15 .0000000 .0000000 .0000000 .0000001 .0000007 .0000045 .16 .17 .0000000 .000000,0 .0000000 .0000003 .0000015 .0000096 .17 .18 .0000000 . 0000000 .0000001 .0000005 .0000034 .0000192 .18 .19 .0000000 .0000000 .0000002 .0000011 .0000070 .0000368 .19 .20 .0000000 .0000001 .0000003 .0000024 .0000137 .0000675 .20 .21 .0000000 .0000001 .0000008 .0000048 .0000258 ..0001190 .21 .22 .0000000 .0000003 .0000016 .0000092 .0000465 .0002027 .22 .23 .0000001 .0000005 .0000031 .0000171 .0000810 .0003339 .23 .24 .0000002 .0000009 .0000059 .0000305 .0001369 .0005335 .24 .25 .0000003 .0000019 .0000108 .0000528 .0002243 .0008285 .25 .26 .0000005 .0000036 .0000190 .0000887 .0003577 .0012531 ,26 .27 .0000010 . 000006 ^ .0000328 .0001451 .0005558 .0018493 .27 .28 .0000020 .0000113 .0000549 .0002314 .0008427 .0026672 .28 .29 .0000036 .0000193 .0000899 .0003602 .0012493 .0037643 .29 .30 .0000062 .0000324 .0001436 .0005484 .0018126 .0052054 .30 .31 .0000108 .0000530 .0002244 .000817.4 .0025773 .0070603 .31 • 32 .0000180 .0000850 .0003435 .0011941 .0035950 .0094021 .32 .33 .0000297 .0001335 .0005153 .0017119 .0049238 .0123039 .33 .34 .0000477 .0002057 .0007588 .0024101 .0066279 .0158349 .34 .35 .0000754 .0003110 .0010975 .0033352 .0087747 .0200565 .35 • 36 .0001169 .0004620 .0015606 .0045398 .0114337 .0250171 .36 .37 .0001783 .0006748 .0021831 .0060826 .0146723 .0307478 •37 .38 .0002674 .0009699 .0030065 .0080268 .0185534 .0372569 .38 .39 .0003948 .0013724 .0040785 .0104386 .0231300 .0445265 .39 .40 .0005740 .0019133 .0054529 .0133845 .0284419 .0525082 .40 .41 .0008223 .0026293 .0071889 .0169284 .0345104 .0611216 .41 .42 .0011612 .0035635 .0093498 .0211282 .0413342 .0702529 .42 .43 .0016176 .0047649 .0120010 .0260318 .0488853 .0797555 .43 .44 .0022236 .0062889 .0152078 .0316723 .0571063 .08945^1 .44 .45 .0030175 .0081957 .0190322 .0380644 .0659078 .0991433 .45 .46 .0040439 .0105494 .0235295 .0451992 .0751683 .1086044 . 46 .47 .0053537 .0134161 .0287447 .0530413 .0847346 .1176021 .47 .48 .0070041 .01686]; 5 .0347066 .0615254 .0944244 .1258992 .48 .49 .0690569 .0209479 .0414255 .0705540 .1040313 .1332644 .49 .50 .011S786 .0257302 .0488874 .0799975 .1133299 .1394829 .50 66 BINOMIAL DISTRIBUTION Table 1 - Individual Terms ,n> r n-r l r )p q p n=28 r-l4 n=28 r=l3 n=28 r "12 n=28 rail n=28 r"10 n=28 r= 9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000006 .0000050 .05 .06 .0000000 .0000000 .0000000 .0000003 .0000026 .0000215 .06 .07 .0000000 .0000000 .0000001 .0000013 .0000100 .0000702 .07 .08 .0000000 .0000001 .0000005 .0000045 . 0000^514 .0001901 .08 .09 .0000000 .0000003 .0000019 .0000135 .0000838 .0004459 •09 .10 .0000001 .0000008 .0000056 .0000358 .0001970 .0009330 .10 .11 .0000003 .0000023 .0000148 .0000845 .0004178 .0017792 .11 .12 .0000009 .0000059 .0000351 .0001816 .0008138 .0031411 .12 .15 .0000022 .0000140 .0000764 .0003607 .0014751 .0051956 .13 .14 .0000054 .0000310 .0001544 .0006696 .0025135 .0081266 .14 .15 .0000120 .0000677 .0002931 .0011723 .0040596 .OI2IO78 .15 .16 .0000251 .0001234 .0005261 .0019498 .0062555 .0172850 .16 .17 .0000497 .0002266 .0008992 .0030987 .0092455 .0237579 .17 .18 .0000934 .0003973 .0014705 .0047288 .0131647 .0315645 .18 .19 .0001677 .0006675 .0023120 .0069575 .0181260 .0406707 .19 .20 .0002891 .0010792 .0035073 .0099033 .0242078 .0509640 .20 .21 .0004799 .0016851 .0051505 .0136770 .•0314425 .0622546 .21 .22 .0007701 .0025485 .0073412 .0183728 .0398076 .0742822 .22 .23 .0011978 .0037427 .0101806 .0240583 .•0492207 .0867276 *23 .24 .0018099 .•0053495 .0137638 .0307660 .0595579 ,0992099 .24 .25 .0026628 .0074559 .0181737 .0384856 .0705569 ,1114057 .25 .26 .0038212 .0101505 .0234732 .0471588 .0820241 .1228700 ,26 .27 .0053572 .0135186 .0296972 .0566770 .0936452 .1332574 .27 .28 .0073484 .0176361 .0368469 .0668817 .1050998 .1422404 .28 .29 .0098745 .0225636 .0448843 .0775687 .1150558 .1495457 • 29 • 30 .0130135 .0283405 .0537289 .0884947 .1261858 .1549653 .30 .31 .0168374 .0349783 .0632572 .0993871 .1351877 .1583694 .31 .32 .0214066 .0424566 .0733038 .1099557 .1427897 .1596991 • 32 .33 .0267650 .0507182 .0836659 .1199062 :1487725 .1589754 .33 .34 .0329340 .0596686 .0941096 .1289531 .1529737 .1562889 .34 .35 .0399083 .0691745 .1043793 .1368335 .1552950 .1517922 • 35 • 36 .0476518 .0790665 .1142073 .1433190 .1557046 .1456884 .36 .37 .0560940 .0891439 .1233257 .1482252 .1542353 .1382195 .37 .38 .0651295 .0991798 .1314784 .1514240 .1509813 .1296516 .38 • 39 .0746184 .1089702 .1384322 .1528391 .1460897 .1202629 .39 .40 .0843881 .1181435 .1439873 .1524571 .1397524 .1103308 .40 .41 .0942781 .1265701 .1479867 .1503222 .1321940 .1001212 .41 .42 .1039455 .1339744 .1503224 .1465327 .1236612 .0898791 .42 •J3 .1132741 .1401437 .1509397 .1412349 .1144112 .0798218 .43 .44 .1219815 .1448992 .1498390 .1346147 .1047003 .0701342 .44 .45 .1298306 .1481030 .1470745 .1268879 .0947742 .0609659 .45 .46 .1365986 .1496646 .1427508 .1182896 .0848600 .0524306 .46 .47 .1420876 .1495447 .1370154 .1090643 .0751590 .0446073 .47 .48 .1461330 .1477566 .1300567 .0994551 .0658430 .0375420 .48 .49 .1486113 .1443652 .1220844 .0896946 .0570507 .0312522 .49 .50 .1494460 .1394829 .1133299 .0799975 .0488874 .0257302 .50 67 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=28 r= 8 n-28 r= 7 n-28 r= 6 n=28 r- 5 n=28 r- 4 n=28 r= 3 P .01 .0000000 .0000000 .0000003 .0000078 .0001609 .0025481 .01 .02 .0000001 .0000009 .0000155 .0001975 .0020173 .0158156 .02 .03 .0000011 .0000136 .0001406 .OOII853 .0079841 .0413049 .03 .04 .0000090 .0000823 .0006286 .0039355 .0196777 .0755622 .04 .05 .0000436 .0003150 .0019045 .0094.397 .0373655 .1135910 .05 .06 .0001514 .0009039 .0045057 .0184146 .0601032 .1506586 .06 .07 .0004197 .0021242 .0089796 .0311217 .0861404 .1831098 .07 .08 .0009840 .0043105 .0157730 .0473189 .1133684 .2085977 .08 .09 .0020289 .0078151 .0251425 .0653177 .1396971 .2259988 .09 .10 .0037787 .0129557 .0371002 .0871050 .1633218 .2351834 .10 .11 .0064780 .0199666 .0514018 .1084922 .1828752 .2367403 .11 .12 .0103657 ,0289582 .0675691 .1292626 .1974845 .2317151 .12 .15 .0156469 .0398909 .0849426 .1482944 .2067566 .2213886 .13 .14 .0224641 .0525690 .1027486 .1646530 .2107167 .2071044 .14 .15 .0308748 .0666504 .1201727 .1776465 .2097216 .1901476 .15 .16 .0408358 .0816717 .1364287 .1868481 .2043651 .1716667 .16 .17 .0521974 .0970842 .1508181 .1920905 .1953861 .1526311 .17 .18 .0647073 .1122961 .1627727 .1934400 .1835889 .1338159 .18 .19 .0780233 .1267147 .1718834 .1911563 .1697769 .1158058 .19 .20 .0917350 .1397868 .1779104 .1856457 .1547047 .0990111 .20 .21 .1053882 .1510325 .1807813 .1774127 .1390437 .0836910 .21 .22 .II85139 .1600707 .1805756 .1670146 .1233630 .0699805 .22 .23 .1306571 .1666351 .1775026 .1550211 .1081217 .0579156 .23 .24 .1414027 .1705809 .1718732 .1419822 .0936689 .0474589 .24 • 25 .1503976 .1718830 .1640702 .1284027 .0802517 .0385209 .25 .26 .1573681 .1706263 .1545182 .1147259 .0680266 .0309782 .26 .27 .1621299 .1669909 .1436571 .1013234 .0570726 .0246892 .27 .28 .1645924 .1612334 .1319183 .0884917 .0474063 .0195043 .28 .29 .1647580 .1536660 .1197053 .0764534 .0389957 .0152755 .29 • 30 .1627146 .1445352 .1073807 .0653621 .0317733 .0118620 .30 .31 .1586248 .1345021 .0952559 .0553099 .0256477 .0091339 .31 .32 .1527122 .1235242 .0835868 .0463361 .0205134 .0069746 .32 .33 .1452456 .1123401 .0725724 .0384375 .0162583 .0052815 • 33 .3^ .1365230 .1009581 .0623566 .0315769 .0127701 .0039662 .34 .35 .1268548 .0897477 .0530327 .0256929 .0099407 .0029538 .35 .36 .1165508 .0789339 .0446494 .0207070 .0076693 .0021814 .36 .37 .1059059 .0686958 .0372172 .0165313 .0058642 .0015975 •n .38 .0951915 .0591666 .0307157 .0130735 .0044439 .0011601 .38 .39 .0845465 .0504366 .0251007 .0102417 .0033373 .0008352 .39 .40 .0744733 .0425552 .0203109 .0079477 .0024837 .0005961 .40 .41 .0648346 .0355423 .0162738 .0061091 .OOI8315 .0004217 .41 .42 .0558534 .0293833 .0129108 .0046511 .0013381 .0002956 .42 .43 .0476147 .0240446 .0101414 .0035059 .0009685 .0002055 .43 .44 .0401677 .0194753 .0078867 .0026185 .0006943 .0001414 .44 .45 .0335312 .0155125 .0060715 .0019358 .0004929 .0000964 .45 .46 .0276970 .0123863 .0046265 .0014168 .0003465 .0000651 . 46 .47 .0226358 .0097240 .0034890 .0010263 .0002411 .0000435 .47 .48 .0183*017 .0075531 .0026036 .0007358 .0001660 .0000288 .48 .49 .0146375 .0058038 .0019221 .0005219 .0001131 .0000189 .49 .50 .0115786 .0044109 .0014035 .OOO366I .0000763 .0000122 .50 68 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=28 r= 2 n=28 r- 1 n-28 r- 0 n=29 r=28 n=29 r-27 n-29 r=26 p .01 .0291077 .2134559 .75^7193 .0000000 .0000000 .0000000 .61 .02 .0894190 .3245578 •5679752 .0000000 .0000000 .0000000 .02 .03 .1340988 .3690763 .*1261952 .0000000 .0000000 .0000000 .03 .04 .2092492 .3719987 .3188559 .0000000 .0000000 .0000000 .04 .05 .2490265 .3504817 .2378269 .0000000 .0000000 .0000000 .05 .06 .2723444 .3160540 .1768398 .0000000 .0000000 .0000000 .06 .07 .2807014 .2762458 .1310758 .0000000 .0000000 .0000000 .07 .08 .2767931 .2357867 .0968410 .0000000 .0000000 .0000000 .08 .09 .2636654 .1974777 .0713114 .0000000 .0000000 .0000000 .09 .10 .2442289 .1628192 .0523348 .0000000 .0000000 .0000000 .10 .11 .2210127 .1324589 .038275^ .0000000 .00000^0 .0000000 .11 .12 .1960667 .1065053 .0278943 .0000000 .0000000 .0000000 .12 .15 .1709559 .0847464 .0202553 .0000000 .0000000 .0000000 .13 .14 .1467957 .0667951 .0146540 .0000000 .0000000 .0000000 .14 .15 .1243272 .0521868 .0105616 .0000000 .0000000 .0000600 .15 .16 .1039904 .0404407 .0075826 .0000000 .0000000 .0000000 .16 .17 .0859845 .0310968 .0054223 .0000000 .0000000 .0000000 .17 .18 .0703391 .0237358 .0038618 .0000000 .0000000 .0000000 .18 .19 .0569652 .0179890 .0027389 .0000000 .0000000 .0000000 .19 .20 .0456973 .0135400 .0019343 .0000000 .0000000 .0000000 .20 .21 .0363274 .0101230 .0013601 .0000000 .0000000 .0000000 .21 .22 .0286284 .0075186 .0009520 .0000000 .0000000 .0000000 .22 .25 .0223721 .0055480 .0006633 .0000000 .0000000 .0000000 .23 .24 .0173407 .0040676 .0004600 .0000000 .0006000 .0000000 .24 .23 .0133341 .0029631 .0003175 .0000000 .0000000 .0000000 .25 .26 .0101734 .0021448 .0002180 .0000000 .0000000 .0000000 .26 .27 .0077022 .0015426 .0001^89 .0000000 .0000000 .0000000 .27 .28 .0057870 .0011023 .0001012 .0000000 .0000000 .0000000 .28 .29 .0043153 .0007826 .0000684 .0000000 .0000000 .0000000 .29 • 50 .0031936 .0005520 .0000460 '. 0000000 .0000000 .0000000 .30 .51 .0023458 .0003868 .0000307 .0000000 .0000000 .0000000 .31 .52 .0017101 .0002692 . 000020^ .0000000 .0000000 .0000000 .32 .55 .0012372 .0001861 .0000135 .0000000 .0000000 .0000000 .33 .54 .0008884 .0001277 .0000089 .0000000 .0000000 .0000000 .34 .55 .0006330 .0000870 .0000058 .0000000 .0000000 .0000000 .35 • 56 .0004475 ,0000590 .0000037 .0000000 .0000000 .0000000 .36 .37 .OOO3139 .0000396 .0000024 .0000000 .0000000 .0000000 •31 .58 .0002184 .0000264 .0000015 .0000000 .0000000 .0000000 .38 .59 .0001508 .0000174 .0000010 .0000000 .0000000 .0000000 .39 .40 .0001031 .0000115 .0000006 .0000000 .0000000 .0000000 .40 .41 .0000701 .0000074 .0000004 .0000000 .0000000 .0000001 .41 .42 .0000471 .0000049 .0000002 .0000000 .0000000 .0-000001 .42 .43 .0000314 .0000031 .0000001 .0000000 .0000000 .0000002 .43 .44 .0000208 .0000019 .0000001 .0000000 .0000000 .0000004 .44 .45 .0000136 .0000012 .0000001 .0000000 .0000001 .0000005 .45 .46 .0000088 .0000008 .0000000 .0000000 .0000001 .0000010 . 46 .47 .0000057 .0000005 .0000000 .0000000 .0000002 .0000016 .47 .48 .OOOOO36 .0000003 .0000000 .0000000 .0000003 .0 000025 .48 .49 .000002~2 .0000002 .0000000 .0000000 .0000005 .0 0000*13 .49 .50 .0000014 .0000001 .0000000 .0000001 .0000007 .0000068 . 50 69 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n=29 r=25 n=29 r=24 n=29 r=23 n=29 r=22 n=29 r=21 n=29 r=20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .00000)00 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .•0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0060001 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .24 • 25 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .25 .26 .0000000 .0000000 .0000000 .0 000000 .0000002 .0000014 .26 .27 .0000000 .0000000 .0000000 .0-000001 .0000004 ,0000025 .27 .28 .0000000 .0000000 .0000000 .OO’OOOOl .0000008 .0000046 .28 .29 .0000000 .0000000 .0000000 .000 0002 .0000015 . 0000081 .29 • 30 .0000000 .0000000 .0000001 .0000004 .0000026 .0006140 .30 .31 .0000000 .0000000 .0000001 .0000008 .0000046 .0000238 .31 .32 .0000000 .0000000 .0000002 .0000014 .0000079 .0000395 .32 .33 .0000000 .0000000 .0000004 .0000024" .0000135 .0000639 .33 .34 .0000000 .0000001 .0000007 .0000041 .0000224 .0001015 .34 .35 .0000000 .0000002 .0000011 .0000072 .0000364 .0001578 .35 • 36 .0000000 .0000003 .0000021 .0000118 .0000582 .0002412 .36 .37 .0000001 .0000005 .0000035 .0000194 .0000911 .0003621 •ll .38 .0000001 .0000009 .0000059 .000.0312 .0001404 .0005344 .38 .39 .0000002 .0000016 .0000096 .0000494 .0002127 .0007761 .39 .40 .0000004 .0000026 .0000156 .0000768 .0003171 .0011097 .40 .41 .0000006 .0000043 .0.000249 .0001176 .0004655 .0015632 .41 .42 .0000010 .0000071 .0000391 .0001774 .0006734 .0021702 .42 .^3 .0000017 .0000114 .0000605 .0002635 .0009606 .0029709 .43 .44 .0000028 .0000182 .0000923 .0003860 .0013511 .0040123 .44 .45 .0000047 .0000284 .0001389 .0005579 .0018752 .0053477 .45 .46 .0000075 .0000439 .0002063 .0007957 .0025689 .0070354 . 46 .47 .0000119 .0000670 .0003025 .0011205 .0034748 .0091431 .47 .48 .0000187 .0001010 .0004378 .0015584 .0046427 .0117356 .48 .49 .0000289 .0001503 .0006261 .0021412 .0061285 .0148835 .49 .50 .0000443 .0002212 ■0008847 .0029072 .0079948 .0186544 .50 70 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=29 r=i9 n=29 r=i8 n=29 r=17 n=29 r=i6 n=29 r=15 n=29 r=lf P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0060000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015 .12 • 13 .0000000 .0000000 .0000000 .0000001 .0000005 .0000038 .13 .14 .0000000 .0000000 .0000000 .0000002 .0000015 .0000090 .14 .15 .0000000 .0000000 .0000001 .0000005 .0000035 .0000198 • 15 .16 .0000000 .0000000 .0000002 .0000013 .0000078 .0000409 .16 .17 .0000000 .0000001 .0000004 .0000030 .0000163 .0000798 .17 .18 .0000000 .0000002 .0000010 .0000063 .0000325 .0001481 .18 .19 .0000001 .0000003 .0000023 .0000126 .0000616 .0002627 .19 .20 .0000001 .0000008 .0000047 .0000244 .0001118 .0004471 .20 .21 .0000003 .0000016 .0000092 .0000454 .0001948 .0007330 .21 .22 .0000005 .0000033 .0000174 .0000809 .0003275 .0011614 .22 .23 .0000011 .0000063 .0000318 .0001392 .0005326 .0017832 .23 .24 .0000021 .0000118 .0000561 .0002320 .0008399 .0026594 .24 .25 .0000041 .0000213 .0000956 .0003754 .0012871 .0038611 .25 .26 .0000075 .0000372 .0001586 .0005905 .0019208 .0054658 .26 .27 .0000135 .0000631 .0002560 .0009050 .0027964 .0075608 .27 .28 .0000234 .0001044 .0004026 .0013536 .0039779 .0102289 .28 .29 .0000398 .0001683 .0006180 .0019786 .0055363 .0135543 .29 • 30 .0000658 .0002550 .0009277 .0028304 .0075478 .0176116 .30 .31 .0001062 .0004082 .0013629 .0039671 .0100912 .0224611 .31 .32 .0001677 .0006157 .0019624 .0054.532 .0132436 .0281425 .32 .33 .0002596 ,ooo9ioi .0027719 .0073592 .0170761 .0345695 .33 .34 .0003937 .0013202 .0038442 .0097583 .0216486 .0420237 .34 .35 .0005863 .0018807 .0052390 .0127234 .0270046 .0501515 .35 • 36 .0008574 .0026331 .0070216 .01632*37 .0331656 .05896II .36 .37 .0012329 .0036259 .0092608 .0206202 •0401259 .0583224 .37 .38 .0017437 .0049143 .0120269 .0256607 .0478485 .0780686 .38 .39 .0024277 .0065590 .0153882 .0314745 .0562624 .0880000 .39 .40 .003^292 .0086255 .0194074 .0380685 .06S2601 .0978903 .40 . 41 .0044988 .0111821 .0241370 .0454210 .0746993 .1074942 .41 .42 .0059937 .0142968 .0296147 .0534800 .0844038 .1165577 .42 .0078765 .0180342 .0358588 .0621594 .0941585 .1248281 .43 .44 .0102132 .0224522 .0428633 .0713388 .1037656 .1320653 .44 .45 .0130721 .0275967 .0505939 .0808638 .1129526 .1380532 • 45 .46 .0165203 .0334977 .0589850 .0905488 .1214818 .1426090 . 46 .47 .0206205 .0401641 .0679372 .1001822 .1291103 .1455925 • 47 .48 .0254272 .0475795 .0773169 .1095323 .1356114 .1469124 .48 .49 .0309819 .0555985 .0869578 .1183555 .1407844 .1465307 .49 .50 .0373088 .0644424 .0966638 .1264064 .144464-4 .1444644 • 50 832939 0 - 50 -6 71 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=29 r=l3 n=29 r-12 n=29 r =11 n=29 r =10 n=29 r= 9 n=29 r = 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000015 .03 .04 .0000000 .0000000 .0000000 .0000001 .0000012 .0000119 .04 .05 .0000000 .0000000 .0000001 .0000007 .0000070 .0000571 .05 .06 .0000000 .0060000 .0000005 .0000037 .0000293 .0001966 .06 .07 .0000000 .0000002 .0000019 .0000142 .0000947 .0005390 .07 .08 .0000001 .0000009 .0000066 .0000441 .0002536 .0012501 .08 .09 .0000004 .0000030 .0000199 .0001163 .0005884 .0025497 .09 .10 .0000012 .0000087 .0000519 .0002706 .0012176 .0046964 .10 .11 .0000036 .0000225 .0001211 .0005676 .0022961 .0079617 .11 .12 .0000094 .0000-526 .0002575 .0010931 .0040081 .0125968 .12 .13 .0000222 .0001133 .0005055 .0019588 .0065543 .0187986 .13 .14 .0000482 .0002265 .0009278 .0032993 .OIOI338 .0266788 .14 .15 .0000981 .0004249 .0016054 .0052659 .0149228 .0362412 .15 .16 .0001878 .0007539 .0026387 .0080202 .0210531 .0473696 .16 .17 .0003410 .0012731 .0041436 .0117127 .0285925 .0598282 .17 .18 .0005905 . 002CT570 .0062473 .0164766 .0375302 .0732733 .18 .19 .0009800 .0031946 .0090795 .0224095 .0477677 .0872747 .19 .20 .0015648 .0047866 .0127641 .0295591 .0591182 .1013454 .20 .21 .0024128 .0669411 .0174077 .0379131 .0713126 .1149735 .21 .22 .0036029 .0097681 .0230885 .0473920 .0840132 .1276564 .22 .23 .0052234 .0133724 .0298456 .0578474 .0968314 .1389320 .23 .24 .0073689 .0178443 .0376713 .0690640 .1093514 .1484054 .24 .25 .0101353 .0232517 .0465034 .0807691 .1211537 .1557690 .25 .26 .0136145 .0296314 .0562238 .0926440 .1318395 .1608157 .26 .27 .0178868 .O3698I8 .0666584 .1043405 .1410530 .1634423 .27 .28 .0230151 .0452567 .0775827 .115^992 .1484990 .1636519 .28 .29 .0290367 .0543627 .0887300 .1257679 .1539572 .1615413 .29 • 50 .0359571 .0641586 .0998023 .1348207 .1572908 .1572907 .30 .51 .0437448 .0744574 .1104853 .1423740 .1584486 .1511467 • 31 .52 .0523277 .6850324 .1204626 .1482007 .1574633 .1434-040 .32 .55 .0615910 .0956251 .1294321 .1521394 .1544446 .1343869 • 33 .54 .0713786 .1059564 .1371200 .1541009 .1495685 .1244310 .34 .55 .0814962 .1157382 .1432950 .1540691 .1430641 .1138673 • 35 • 56 .0917173 .1246875 .1477777 .1520988 .1351989 .1030087 .36 .57 .1017912 .1325389 .1504496 .1483094 .1262635 .0921382 .58 •1114533 .1390577 .1512558 .1428760 .1165567 .0815021 .38 .59 .1204360 .1440508 .1502069 .1360173 .1063725 .0713046 • 39 .40 .1284810 .1473752 .1473752 .1279838 .0959878 .0617065 .40 .41 .1353509 .1489443 .1428897 .1190441 .0856537 .0528247 .41 .42 .1408405 .1487307 .1369267 .1094727 .0755884 .0447359 .42 • 45 .1447859 .1467667 .1297007 .0995378 .0659727 .0374796 .43 1* li .44 .1470727 .1431403 .1214524 .0894912 .0569490 .0310631 .44 .45 .1476402 .1379905 .1124367 .0795605 .0486203 .0254677 • 45 1 . S’ .46 .1464842 .1314986 .1029120 .0699425 .0410531 .0206541 . 46 .47 .1436564 .1238789 .0931289 .0607996 .0342807 .0165673 .47 1 . Cl .48 .139260.6 .1153680 .0833212 .0522585 .0283067 .0131424 .48 .49 .1334476 .1062134 .0736991 .0444095 .0231110 .0103090 .49 • 50 .1264064 .0966638 .0644424 .0-373088 .0186544 .0079948 • 50 72 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=-29 r= 7 n=29 r= 6 n=29 r- 5 n=29 r- 4 n=29 r - 3 11=29 r= 2 P .01 .0000000 .0000004 .0000093 .0001848 .0028137 .0309511 .01 .02 .0000013 .0000191 .000-2340 .0022932 .0172877 .0941218 .02 .03 .0000175 .0001718 .OOI3893 .0089838 .0446886 .1605482 .03 .04 .0001042 .0007608 .0045653 .0219130 .0809097 .2157592 .04 .05 .0003945 .0022813 .0108360 .0411767 .1203628 .2540993 • 05 .06 .0011200 .0053402 .0209159 .0655365 .1579598 .2749670 .06 .07 .0026041 .0105295 .0349730 .0929282 .1899413 .2803895 .07 .08 .0052276 .0182967 .0526029 .1209867 .2140533 .2735126 .08 .09 .0093745 .0288483 .0729218 .1474643 .2293888 .2577085 .09 .10 .0153701 .0421007 .0947267 .1705079 .2360880 .2360879 .10 .11 .0234245 .0576817 .1166744 .1888004 .2350102 .2112718 .11 .12 .0335915 .0749723 .1374492 .2015922 .2274373 .1853193 .12 .15 .0457476 .0931783 .1558945 .2086588 .2148321 .1597469 .13 .14 .0595942 .1114152 .1711020 .2102109 .1986609 .1355939 .14 .15 .0746787 .1287937 .1824578 .2067855 .1802746 .1135062 .15 .16 .0904328 .1444958 .1896508 .1991334 .1608384 .0938225 .16 .17 .1062190 .1578344 .1926507 .1881178 .1413012 .0766535 .17 .18 .1213819 .1682928 . 1916568 .1746297 .1223901 .0619505 .18 .19 .1352968 .1755452 .1870942 .1595224 .1046261 .0495597 .19 .20 .1474115 .1794575 .1794574 .1435660 . 0883.483 .0392659 .20 .21 .1572797 .1800739 .1693552 .1274197 .0737447 .0308245 .21 .22 .1645817 .1775922 .1574113 .1116188 .0608831 .0239842 .22 .23 .1691346 .1723318 .'1442343 .0965743 .0497406 .0185025 .23 .24 .1708911 .1646994 .1303870 .0825784 .0402305 .0141552 .24 .25 .1699298 .1551533 .1163650 .0698189 .0322242 .0107414 .25 .26 .1664382 .1441722 .•1025840 .0583940 .0255690 .0080859 .26 .27 .1606908 .1322271 .0893756 .0483291 .0201027 .0060391 .27 .28 .1530251 .1197589 .0769878 .0395937 .0156635 .0044752 .28 .29 .1438174 .1071623 .0655907 .0321168 .0120971 .0032907 .29 • 30 .1334589 .0947751 .0552855 .'0257999 .0092615 .0024011 .30 .31 .1223358 .0828726 .0461147 .0205284 .0070296 .0017385 • 31 .32 .1108122 . 0716666 .0380729 .0161810 .0052899 .0012490 .32 .33 .0992167 .0613079 .0311183 .OI2636O .0039469 .0008903 .33 .3^ .0878336 .0518914 .0251826 .0097768 .0029198 .0006297 .34 .35 .0768975 .0434637 .0201796 .0074955 .0021415 .0004419 .35 • 36 .0665915 .0360301 .0160134 .0056937 .0015572 .0003076 .36 .37 .0570487 .0295634 ^0125844 .0042856 .0011226 .0002124 •n .38 .0483553 .0240117 .0097942 .0031960 .0008023 .0001454 .38 .39 .0405555 .0193058 .0075490 .0023615 .0005682 .0000988 .39 .40 .0336580 .0153657 .0057621 .0017286 .0003989 .0000665 .40 .41 .0276422 .0121063 .0043554 .0012534 .0002775 .0000444 .41 .42 .0224648 .0094417 .0032597 .0009003 .0001912 .0000294 .42 .0180662 .0072886 .0024154 .000640.4 70001306 .0000192 .43 .44 .0143763 .0055686 .0017719 .0004510 .0000883 .0000125 .44 .45 .0113190 .0042105 .0012865 .0003145 .0000591 .0000081 .45 . 46 .0088168 .0031500 .0009245 .0002170 .0000392 .0000052 . 46 .47 .0067935 .0023316 .0006572 .0001483 .0000257 .0000032 .47 .48 .0051773 .0017071 .0004623 .0001001 .0000167 .0000020 .48 .49 .0039017 .0012360 .0003216 .0000669 .0000108 .0000012 .49 .50 .0029072 .0008847 .0002212 .0000443 .0000068 .0000007 .50 73 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n=29 r= 1 n=29 r= 0 n=30 r=28 n=30 r=27 n=30 r=26 n=30 r=25 p .01 .2188686 .7471721 .0000000 .0000000 .0000000 .0000000 .01 .02 .3294261 .5566167 .0000000 .0000000 .0000000 .0000000 .02 .03 .3707899 .4134093 .0000000 .0000000 .0000000 .6000000 .03 .04 .3698729 .3061017 .0000000 .0000000 .0000000 .0000000 .04 .05 .3448490 .2259355 .0000000 .0000000 .0000000 .0000000 .05 .06 .3077011 .1662294 *0000000 .0000000 .0000000 .0000000 .06 .07 .2660839 .1219005 .0000000 .0000000 .0000000 .0000000 .07 .08 .2246711 .0890937 .0000000 .0000000 .0000000 .0000000 .08 .09 .1861227 .0648934 .0000000 .0000000 .0000000 .0000000 .09 .10 .1517708 .0471013 .0000000 .0000000 .0000000 .0000000 .10 .11 .1220987 .0340651 .0000000 .0000000 .0000000 .0000000 .11 .12 .0970721 .0245469 .0000000 .0000000 .0000000 .0000000 .12 .13 .0763626 .0176221 .0000000 .0000000 .0000000 .0000000 .15 .14 .0594953 .0126025 .0000000 .0000000 .0000000 .0000000 .14 .15 .0459429 .0089774 .0000000 .0000000 .0000000 .0006000 .15 .16 .0351834 .0063694 .0000000 .0000000 .0000000 .0000000 .16 .17 .0267322 .0045005 .0000000 .0000000 .0000000 .0000000 .17 .18 .0201585 .0031667 .0000000 ,0000000 .0000000 . 0000000 .18 .19 .0150915 .0022185 .0000000 .0000000 .0000000 .0000000 .19 .20 *0112189 .0015474 *0000000 .0000000 .0000000 .0000000 .20 .21 .0082828 .0010744 .0000000 .0000000 .0000000 .0000000 .21 .22 .0060739 .0007426 .0000000 .6000000 .0000000 .0000000 .22 .23 .0044245 .0005108 .0000000 .QOOOOOO .0000000 .0000000 *23 .24 .0032018 .0003496 .0000000 .0000000 .0000000 .0000000 .24 .25 .0023017 .0002381 .0000000 .0000000 .0000000 .0000000 .25 .26 .0016439 .0001613 .0000000 .0000000 .0000000 .0000000 .26 .27 .0011663 .0001087 .0000000 .0000000 .0000000 .0000000 .27 .28 .0008220 .0000729 .0000000 .0000000 .0000000 .0000000 .28 .29 .0005755 .0000486 .0000000 .0000000 .0000000 .0000000 .29 .30 .0004002 .0000322 .0000000 .0000000 .0000000 .0060000 .30 .31 .0002764 .0000212 .0000000 .0000000 .0000000 .0000000 .51 .32 .OOOI896 .0000139 .0000000 .0600000 .0000000 .0000000 .32 .33 .0001292 .0000090 .0000000 .0000000 .0000000 .0000000 • 33 .3^ .0000874 .0000058 .0000000 .0600000 .0000000 .0000000 .34 • 35 .0000586 .0000038 .0000000 .0000000 .0000000 .0000001 .35 .36 .0000391 .0000024 .0000000 .0000000 .0000000 .0000001 .36 .37 .0000258 .0000015 .0000000 .0000000 .0000000 .0000003 .38 .0000169 .0000010 .0000000 .0000000 .0000001 .0000004 .38 .39 .0000110 .0000006 .0000000 .0000000 .0000001 .0000007 .40 .0000071 .0000004 .0000000 .0000000 .0000002 .0000012 .40 .41 .ooooo46 .0000002 .0000000 .60.00000 .0000003 .0000021 .41 .42 .0000029 .0000001 .0000000 .0000001 .0000005 .0000035 .42 .43 .0000018 .0000001 .0000000 .6000001 .0000009 .0000058 .43 .44 .0000012 .0000000 .0000000 .6000002 .0000014 .0000096 .44 .45 .0000007 .0000000 .0000000 .0006005 .0000024 .0000154 .45 . 46 .0000004 .0000000 .0000000 .00Q0006 .0000039 .Q000243 .46 .47 j, O .0000003 .0000000 .0000001 .0000008 .0000065 .0000378 .47 1*0 . 48 .0000002 .0000000 .0000001 .0000015 .0000103 .0006582 . 4o .49 .0000001 .0000000 .0000003 .0000025 .0000163 .0000884 .49 • 50 .0000001 .0000000 .0000004 .0000038 .0000255 .0001328 .50 74 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=30 r=24 n*30 r=23 n=30 r=22 n-30 r=21 n-30 r=20 n-30 r=19 p .01 .0000000 .0000000 .0000000 .0000000 .0O00000 .0000000 .01 .02 .0000000 .0000000 ,0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 . .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 • 17 ! .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .22 • 23 .24 .0000000 .'0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000001 .0000003 .0000008 .0000023 .0000045 *23 .24 .25 .'0000000 .0000000 .0000000 .0000003 .0000015 .0000084 .25 ,26 .0000000 .0000000 .0000001 .0000005 .0000029 .0000153 ,26 .27 .0000000 .0000000 .0000002 .0000009 .0000055 .0000269 .27 .28 .0000000 .0000000 .0000003 .0000019 .0000098 .0000462 .28 .29 .0000000 .0000001 .0000006 .0000033 .0000173 .0000771 .29 .30 .0000000 .0000002 .0000010 .0000061 .0000296 .0001255 .30 .31 .0000000 .0000003 .0000020 .0000106 .0000493 .0001998 .31 .32 .0000001 .0000006 .0000034 .0000181 .0000805 .0003111 .32 .33 .0000002 .0000010 .0000061 .0000301 .0001285 .0004742 .33 .34 .0000003 .0000019 .0000104 .0000492 .0002008 .0007088 .34 .35 .0000005 .0000032 .0000174 .0000789 .0003078 .0010394 .35 .36 .0000010 .0000055 .0000286 .0001240 .0004631 .0014967 .36 •37 .0000016 .0000094 .0000459 .0001914 .0006842 .0021183 •37 .38 .0000027 .0000155 .0000728 .0002901 .0009939 .0029485 .38 .39 .0000047 .0000252 .0001130 .0004324 .0014203 .0040389 .40 .0000078 .0000401 .0001730 .0006341 .0019975 .0054477 .40 .41 .0000128 .0000629 .0002603 .0009155 .0027668 .0072389 .41 .42 .0000205 .0000972 .0003857 .0013021 .0037761 .0094810 .42 .43 .0000326 .0001477 .0005633 .0018250 .0050803 .0122443 .43 .44 .0000508 .0002215 .0008107 .0025220 .0067407 .0155984 .44 .45 .0000781 .0003275 .0011507 .0034377 .0088237 .0196082 .45 .46 .0001186 .0004774 .0016114 .0046239 .0113990 .0243299 .46 .47 .0001777 .0006869 .0022271 .0061389 .0145374 .0298060 w47 .48 .0002627 .0009756 .0030389 .0080473 .0183075 .0360604 .48 .49 .0003835 .0013685 ,0040950 .0104184 .0227717 .0430930 .49 .50 .0005530 .0018959 .0054510 .0133246 .0279816 .0508756 .50 75 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n=30 r=l8 n=30 r=17 n=30 r=l6 n=30 r=15 n=30 r=l4 n=30 r=13 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000003 .0000020 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000009 .0000057 .11 .12 .0000000 .0000000 .0000001 .0000003 .0000024 .0000146 .12 .15 .0000000 .0000000 .0000002 .0000009 .0000062 .0000340 .13 .14 .0000000 .0000001 .0000003 .0000026 .0000144 .0000732 .14 .15 .0000000 .0000002 .0000009 .0000060 .0000315 .0001471 .15 .16 , .0000001 .0000003 .0000024 .0000130 .0000644 .0002784 .16 .17 .0000001 .0000009 .0000052 .0000272 .0001242 .0004994 .17 .18 .0000004 .0000019 .0000110 .0000534 .0002277 .0008545 .18 .19 .0000007 .0000043 .0000219 .0000999 .0003989 .0014008 .19 .20 .0000015 .0000087 .0000419 .0001788 .0006707 .0022091 .20 .21 .0000033 .0000168 .0000767 .0003078 .0010858 .0033637 .21 .22 .0000064 .0000314 .0001351 .0005110 .0016985 .0049593 .22 .23 .0000122 .0000565 .0002297 .0008203 .0025743 .0070977 .23 .24 .0000224 .0000983 .0003779 .0012765 .0037898 .0098829 .24 .25 .0000399 .0001656 .0006033 .0019305 .0054297 .0134144 • 25 .26 .0000687 .0002710 .0009363 .0028428 .0075852 .0177788 ,26 .27 .0001152 .0004312 .0014157 .0040828 .0103469 .0230424 .27 .28 .0001878 .0006689 .0020884 .0057282 .0138090 .0292428 .28 .29 .0002987 .0010126 .0030103 .0078616 .0180442 .0363812 .29 • 50 .0004638 .0014985 .0042456 .0105670 .0231152 .0444176 .30 .51 .0007042 .0021702 .0058655 .0139259 .0290590 .0532658 .31 .52 .0010466 .0030794 •0079462 .0180113 .0358818 .0627932 .32 .55 .0015245 .0042857 .0105658 .0228819 •0435536 .0728223 .33 .34 .0021783 .0058550 .0138010 .0285761 .0520044 .0831350 .34 .55 .0030561 .0078585 .0177218 .0351060 .0611222 .0934809 • 35 .56 .0042129 .0103704 .0223868 .0424519 .0707533 .1035866 .36 .37 .0057109 .0134638 .0278373 .0505586 .0807058 .1131679 •37 .38 .0076171 .0172078 .0340920 .0593322 .0907548 .1-219429 .38 .39 .0100024 .0216619 .0411418 .0686401 .1006500 .1296458 .39 .40 .0129383 .0268718 .0489451 .0783123 .1101265 .1360387 .40 .41 .0164936 .0328635 .0574251 .0881452 .1189155 .1409242 .41 .42 .0207302 .0396382 .0664680 .0979084 .1267565 .1-441544 .42 •J3 .0256988 .0471680 .0759234 .1073521 .1334099 .1456377 .43 .44 .0314330 .0553926 .0856066 .1162174 .1386686 .1453425 .44 .45 .0379454 •0642154 .0953038 .1242478 .1423673 .1432979 .45 .46 .0452219 .0735043 .1047780 .1312003 .1443916 .1395909 .46 .47 .0532175 .0830923 .1137785 .1368569 .1446825 .1343610 .47 .48 .0618535 .0927803 .1220503 .1410358 .1432396 .1277921 .48 .49 .0710156 .1023427 .1293*157 .1436001 .1401200 .1201028 .49 .50 .08055^1 .1115351 .1354354 .1444644 .1354354 .1115351 .50 76 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=30 r =12 n=30 r-11 n-30 r-10 n-30 r= 9 n=30 r- 8 n=30 r= 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000016 .02 .03 .0000000 .0000000 .0000000 .0000002 .0000019 .0000221 .03 .04 .0000000 .0000000 .0000001 .0000016 .0000157 .0001304 .04 .05 .0000000 .0000001 .0000011 .0000095 .0000739 .0004889 .05 .06 .0000001 .0000006 .0000052 .0000394 .0002520 .0013732 .06 .07 .0000004 .0000027 .0000199 .0001257 .OOO6836 .OO3I589 .07 .08 .0000013 .0000096 .0000609 .0003334 .0015682 .0062732 .08 .09 .0000045 .0000285 .0001589 .0007649 .0031639 .0111272 .09 .10 .0000130 .0000738 .0003653 .0015654 .0057638 .0180432 .10 .11 .0000333 .0001703 .0007577 .0029193 .0096626 .0271928 .11 .12 .0000772 .0003578 .0014429 .OO50387 .0151162 .0385572 .12 .13 .0001643 .0006945 .0025562 .0081460 .0223020 .0519136 .13 .14 .0003247 .0012598 .0042562 .0124501 .0312869 .0668492 .14 .13 .0006020 .0021547 .0067152 .0181206 .0420068 .0827960 .15 .16 .0010555 .0034997 .0101055 .0252638 .0542596 .0990829 .16 .17 .0017611 .0054304 .0145822 .0339026 .0677146 .1149936 .17 .18 .0028112 .0080886 .0202663 .0439639 .0819328 .1298259 .18 .19 .0043127 .0116122 .0272276 .0552740 .0963989 .1429440 .19 .20 .0063821 .0161232 .0354708 .0675637 .1105586 .1538207 .20 .21 .0091391 .0217138 .0449270 .0804815 .1238577 .1620665 .21 .22 .0126986 .0284352 .0554487 .0936147 .1357799 .1674441 .22 .23 .0171613 .0362860 .0668137 .1065145 .1458786 .1698700 .23 .24 .0226028 .0452056 .0787329 .1187244 .1538019 .1694051 .24 • 25 .0290647 .0550698 .0908653 .1298074 .1593092 .1662357 .25 .26 .0365455 .0656930 .1028348 .1393733 .1622772 .1606490 ,26 .27 .0449944 .0768326 .1142529 .1470981 .1626995 .1530055 .27 .28 .0543079 .0881994 .1247391 .1527418 .1606764 .1437106 .28 .29 .0643292 .0994710 .1339428 .1561566 .1564014 .1331874 .29 .30 .0748517 .1103078 .1415617 .1572908 .1501412 .1218537 .30 .31 .0856260 .1203708 .1473572 .1561850 .1422153 .1101022 .31 .32 .0963700 .1293388 .1511648 .1529643 .1329746 .0982856 .32 .33 .1067814 .1369255 .1529002 .1478255 .1227807 .0867068 • 33 .34 .1165521 .1428935 .1525599 .1410217 .1119879 .0756133 .34 .35 .1253831 .1470659 .1502173 .1328452 .1009279 .0651957 ♦ 35 • 36 .1330000 .1493333 .1460148 .1236104 .0898985 .0555894 • 36 .37 .1391658 .1496578 .1401524 .1136371 .0791551 .0468792 .37 .38 .1^36930 .1480715 .1328747 .1032359 .0689063 .0391047 .38 .39 .1464517 .1446729 .1244558 .0926961 .0593125 .0322681 .39 .40 .1473752 .1396186 .1151854 .0822753 .0504871 .0263411 .40 .41 .1464619 .1331129 .1053541 .0721938 .0424999 .0212725 .41 .42 .1437730 .I25396I .0952412 .0626303 .0353821 .0169951 .42 -*3 .1394283 .1167307 .0851048 .0537206 .0291318 .0134319 .43 .44 .1335976 .1073894 .0751727 .0455591 .0237209 .0105010 .44 .45 .1264913 .0976424 .0656374 .0382017 .0191008 .0081201 .45 .46 .1183487 .0877460 .0566534 .0316696 .0152089 .0062101 .45 .47 .1094264 .0779341 .0483358 .0259553 .0119736 .0046964 .47 .48 .0999856 .0684111 .0407617 .0210278 .0093191 .0035116 .48 .49 .0902814 .0593472 .0339732 .OI68380 .0071695 .0025955 .49 .50 .0805531 .0508756 .0279816 .0133246 .0054510 .0018959 *30 77 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n-30 r= 8 n=30 r= 5 n-30 r- 4 n=30 r- 3 n=30 r= 2 n=30 v - 1 p .01 .0000005 .0000111 .0002110 .0030951 .0328303 .2241516 .01 .02 .0000234 .0002752 .0025932 .0188243 .0988279 .3339700 .02 .03 .0002084 .0016171 .0100549 .0481645 .1668554 .3720684 .03 .04 .0009130 .OO52592 .0242729 .0863037 .2219237 .3673221 .04 .05 .0027090 .0123530 .0451361 .1270496 .2586367 .3389033 .05 .06 .0062747 .0235932 .0710819 .1649802 .2769310 .2992129 .06 .07 .0122405 .0390299 .0997191 .1962727 .2793881 .2559910 .°7 .08 .0210411 .0580736 .1284321 .2188100 .2696053 .2138249 .08 .09 .0328148 .0796307 .1548375 .2319376 .2512657 .1752121 .09 .10 .0473633 .1023048 .1770659 ,.2360880 .2276562 .1413038 .10 .11 .0641709 .1246082 .1938835 .2323990 .2014628 .1124149 .11 .12 .0824695 .1451464 .2046936 .2223831 .1747297 .0883690 .12 .13 .1013314 .1627539 .2094613 .2076710 .1489070 .0687262 .13 .14 .1197713 .1765772 .2085939 .1898316 .1249401 .0529303 .14 .15 .1368433 .1861070 .2028088 .1702593 .1033717 .0403981 .15 .16 .1517207 .1911680 .1930061 .1501159 .0844402 .0305732 .16 .17 1 .1637532 .1918801 .1801590 .1303m .0681669 .0229528 .17 .18 .1725001 .1886001 .1652266 .1115110 .0544280 .0170999 .18 .19 .1777395 .1818555 .1490922 .0941634 .0430108 .0126456 .19 .20 .1794575 .1722791 .1325225 .0785318 .0336565 .0092846 .20 .21 .1778230 .1605488 .1161479 .0647314 .0260908 .0067690 .21 .22 .1731524 .1473369 .1004570 .0527653 .0200440 .0049010 .22 .23 .1658694 .1332725 .0858025 .0425558 .0152646 .0035244 .23 .24 .1564644 .1189130 .0724149 .0339725 .0115263 .0025173 .24 .25 .1454562 .1047285 .0604203 .0268534 .0086315 .OOI7858 .25 .26 .1333593 .0910947 .0498595 .0210234 .0064109 .0012584 .26 .27 .1206572 .0782931 .0407079 .0163056 .0047234 .0008807 • 27 .28 .1077829 .0665175 .0328933 .0125307 .0034524 .0006122 .28 .29 .0951065 .0558833 .0263111 .0095432 .0025033 .0004227 .29 .30 .0829282 .0464399 .0208383 .0072034 .0018009 .0002898 .30 .31 .0714777 .0381829 .0163438 .0053893 .0012853 .0001973 -31 .32 .0609167 .0310674 .0x26959 .0039968 .0009100 .0001334 .32 .33 .0513453 .0250192 ..0097685 .0029383 .0006391 .0000895 .33 .3^ .0428104 .0199446 .0074454 .0021412 .0004453 .0000596 .34 .35 .0353143 .0157401 .0056214 .0015467 .0003077 .0000395 .35 • 36 .0288242 .0122983 .0042045 .0011074 .0002109 .0000259 .36 .37 .0232812 .0095138 .0031152 .0007858 .0001434 .0000168 •37 .38 ,0186091 .0072869 .0022864 .0005526 .0000966 .0000109 .38 .39 .0147206 .0055259 ..0016621 .OOO3851 .0000646 .0000069 •39 .40 .0115242 .0041487 .0011968 .0002659 .0000428 .0000044 .40 .41 .0089284 .0030836 .0008533 .0001819 .0000281 .0000028 .41 .42 .0068453 .0022687 .0006025 .0001232 .OOOOI83 .0000017 .42 .43 .0051931 .0016522 .0004211 .0000827 .0000118 .0000011 .43 .44 .0038981 .0011906 .0002915 .0000549 .0000075 .0000007 .44 .45 .0028947 .0008491 .0001996 .0000362 .0000047 .0000004 .45 .46 .0021263 .0005990 .0001353 .0000235 .0000030 .0000002 .46 .47 .0015447 .0004180 .0000907 .0000151 .0000019 .0000001 .47 .48 .0011096 .0002884 .0000601 .0000097 .0000011 .0000001 .48 .49 .0007879 .0001968 .0000394 .0000061 .0000007 .0000000 .49 .50 .0005530 .0001328 .0000255 . .OOOOO38 .0000004 .0000000 .50 78 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=30 r= 0 n*31 r=29 n-31 r=28 n=31 r-27 n-3l r-26 n=3l r-25 p .01 .7397004 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .5454843 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .4010071 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .2938576 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .2146388 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .1562556 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .1133675 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0819662 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0590530 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0423912 .0000000 .0000000 .0000000 .0060000 .0000000 .10 .11 .0303180 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0216013 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0153313 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .OIO838I .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0076308 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0053503 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 ! .0037354 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0025967 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0017970 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0012379 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0008488 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0005792 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0003933 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0002657 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0001786 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0001194 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000794 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000525 . .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000345 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000225 .0000000 .0000000 .0000000 .0000000 .0000000 .30 • 31 .0000146 .,0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000094 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000061 .0000000 .0000000 .0000000 .0000000 .0000001 .33 .34 .OOOOO39 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 .0000024 .0000000 .0000000 .0000000 .0000000 .0000003 .35 .3 6 .0000015 .0000000 .0000000 .0000000 .0000001 .0000004 .36 .37 .0000010 .0000000 .‘0000000 .0000000 .0000001 .0000008 • 37 .38 .0000006 .0000000 .0000000 .0000000 .0000002 .0000013 .38 .39 .0000004 .0000000 .0000000 .0000000 .0000004 .0000022 .39 .40 .0000002 .0000000 .0000000 .0000001 .0000006 .0000038 .40 .41 .0000001 .0000000 .0000000 .0000001 .0000011 .0000065 .41 .42 .0000001 .0000000 .0000000 .0000003 .0000018 .0000106 .42 .43 .0000000 .0000000 .0000000 .0000005 -0000030 .0000173 .43 .44 .0000000 .0000000 .0000001 .0000007 .0000050 .0000277 .44 .45 .0000000 .0000000 .0000002 .0000012 .0000082 .0000436 .45 .46 .0000000 .0000000 .0000003 .0000021 .0000133 .0000676 .46 .47 .0000000 .0000000 .0000005 .0000035 .0000212 .0001035 .47 .48 .0000000 .0000001 .0000607 .0000057 .0000333 .0001564 .48 .49 .0000000 .0000001 .0000013 .'0000092 .0000516 V0002331 .49 .50 .0000000 .0000002 .0000021 .0000147 .0000791 .0003429 .50 70 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n-31 r= 24 n=3l r-23 n-31 r-22 n-31 r=21 n-31 r=20 n=31 r=19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .000000c .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .oooopoo .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .21 .22 .0000000 .0000000 .0000000 .0000001 .0000004 .0000022 .22 • 23 .0000000 .0000000 .0000000 .0000001 .0000009 .0000045 .23 .24 .0000000 .0000000 .0000000 .0000003 .0000017 .0000088 .24 .25 .0000000 .0000000 .0000001 .0000006 .0000032 .0000163 .25 .26 .0000000 .0000000 .0000002 .0000011 .0000062 .0000292 ,26 .27 .0000000 .0000001 .0000003 .0000022 .0000113 .0000507 .27 .28 .0000000 .0000001 .0000007 .0000041 .0000200 .0000859 .28 .29 .0000000 .0000003 .0000013 .0000074 .0000347 *0001413 .29 • 30 .0000001 .0000004 .0000026 .0000131 .0000583 .0002271 .30 .31 .0000001 .0000008 .0000047 .0000226 .0000960 .0003561 ,31 .32 .0000003 .0000015 .0000081 .0000380 .0001543 .0005465 .32 .33 .0000004 .0000027 .0000140 .0000626 .0002426 .0008208 .33 .34 .0000009 .0000047 .0000236 .0001008 .0003735 .0012084 .34 .35 .0000014 .0000082 .0000389 .0001591 .0005638 .0017452 .35 .36 .0000026 .0000138 .0000629 .0002461 .0008352 .0024745 .36 .37 .0000044 .0000230 .0000997 .0003738 .0012148 .0034476 .37 .38 .0000076 .0000373 .0001553 .0005576 .0017367 .0047225 .38 • 39 .0000127 .0000595 .0002376 .0008176 .0024416 .0063646 .39 .40 .0000208 .0000932 .0003574 .0011795 .0033776 .0084439 .40 .41 .0000333 ,0001438 .0005290 .0016745 .0046003 .0110334 .41 .42 .0000527 .0002184 .0007706 .0023412 .0061721 .0142057 .42 .43 .0000821 .0003264 .0011058 .0032248 .0081608 .0180298 .43 .44 .0001260 .0004807 .0015637 .0043782 .0106381 .0225656 .44 .45 .0001904 .0006979 .0021799 .0058614 .0136767 .0278599 .45 .46 .0002837 .0009991 .0029971 .0077405 .0173472 .0339402 .46 .47 .0004170 .0014108 .0040657 .0100862 .0217136 .0408094 .47 .48 .0006049 4 OOI966O .0054429 .0129722 .0268289 .0484411 .48 .49 .0008661 .0027044 .0071935 .0164715 .0327292 .0567751 .49 .50 .0012244 .0036735 .0093878 .0206531 .0394286 .0657144 .50 80 BINOMIAL DISTRIBUTION Table 1 - Individual Terms l?)p T c n-r p n-31 r-18 n=31 r=17 n*31 r=l6 n=3l r =15 n-31 r=i4 n=31 r=13 P .01 .0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .08 .09 .OCOOOOO .0000000 .0000000 .0000000 .0000001 .0000010 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000004 .0000031 .10 .11 .0000000 .0000000 .0000000 .0000002 .0000014 .0000088 .11 .12 .0000000 .0000000 .0000001 .0000006 .0000039 .0000221 .12 .13 .0000000 .0000000 .0000003 .0000016 .0000098 .0000510 .13 .14 .0000000 .0000001 .0000007 .0000042 .0000227 .0001084 .14 .15 .0000000 .0000003 .0000017 .0000098 .0000489 .0002153 .15 .16 .0000001 .0000007 .0000041 .0000212 .0000987 .0004027 .16 .17 .0000003 .0000016 .0000090 .0006436 .0001880 .0007139' .17 .18 .0000006 .0000036 .0000186 .0000847 .0003406 .0012067 .18 .19 .0000013 .0000077 .0000367 .0001567 .0005893 .0019540 .19 .20 .0000030 .0000153 .0000693 .0002772 .0009783 .0030438 .20 .21 .0000061 .0000294 .0001252 .0004712 .0015642 .0045765 .21 .22 .0000119 .0000542 .0002179 .0007722 .0024159 .0066619 .22 .23 .0000224 .0000964 .0003655 .0012237 .0036147 .0094123 .23 .24 .0000406 .0001654 .0005936 .0018797 .0052521 .0129357 .24 .25 .0000713 .0002750 .0009351 .0028053 .0074259 .0173270 .25 .26 .0001213 .0004439 .0014321 •0040757 .0102356 .0226582 ,26 .27 .0002005 .0006971 .0021358 .0057746 .0137761 .0289695 .27 .28 .0003225 .0010663 .0031076 .0079908 .0181305 .0362610 .28 .29 .0005057 .0015920 .0044172 .0108145 .0233619 .0444861 .29 • 30 .0007742 .0023226 .0061420 .0143315 .0295059 .0535478 .30 .31 .0011587 .0033157 .0083643 .0186171 .0365631 .0632975 -31 .32 .0016971 .0046368 .0111670 .0237298 .0444935 .0735378 .32 .33 .0024357 .0063581 .0146301 .0297036 .0532123 .0840288 .33 • 3^ .0034284 .0085566 .0188246 .0365417 .0625888 .0944968 • 34 .35 .0047370 .0113106 .0238063 .0442117 .0724477 .1046467 .35 • 36 .0064296 .0146963 .0296103 .0526404 .0825733 .1141754 .36 .37 .0085794 .0187820 .0362442 .0617131 .0927167 .1227871 •n .38 .0112615 .0236238 .0436833 .0712728 .1026063 .1302080 .38 .39 .0145496 .0292591 .0518662 .0811239 .1119584 .1362001 .40 .0185117 .0357012 .0606919 .0910380 .1204914 .1405733 .40 .41 .0232052 .0429338 .0700203 ,1007611 .1279390 .1431947 .41 .42 .0286716 .0509066 .0796730 .1100246 .1340636 .1439943 .42 .43 .0349305 .0595329 .0894377 .1185570 .1386678 .1429677 .43 .44 .0419753 .0686867 .0990754 .1260959 .1416051 .1401747 .44 .45 .0497670 .0782051 .1083286 .1324016 .1427861 • 13573.49 .45 .46 .0582318 .0878902 .1169323 .1372682 .1421833 .1298195 .46 .47 .0672587 .0975148 .1246253 .1405350 .1398314 .1226417 .47 .48 .0766984 .1068298 .1311634 .1420936 .1358248 .1144450 .48 .49 .0863659 .1155741 .1363303 .1418949 .1303116 .10549 03 .49 .50 .0960440 .1234853 .1399499 .1399499 .1234853 .0960440 .50 81 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n=31 r=12 n=31 r=ll n»31 r-10 n=31 r= 9 n=31 v= 8 n=3l r- 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000021 .02 .03 .0000000- .0000000 .0000000 .0000002 .0000026 .0000277 .03 .04 .0000000 .0000000 .0000002 ,0000022 .0000202 .0001617 .04 .05 .0000000 .0000002 .0000014 .0000128 .0000947 .0005998 .05 .06 .0000001 .0000009 .0000073 .0000521 .0003193 .0016673 .06 .07 .0000005 .0000039 .0000273 .0001648 .OO.O8568 .0037946 .07 .08 .0000020 .0000137 .0000827 .0004321 .0019447 .0074546 .08 .09 .0000066 .0000403 .0002134 .0009809 .0038806 .0130790 .09 .10 .0000191 .0001029 .0004853 .0019853 .0069917 .0209752 .10 .11 .0000483 .0002349 .0009955 .0036611 .0115909 .0312604 .11 .12 .0001109 .0004879 .0018744 .0062481 .0179290 .0438267 .12 .13 .0002332 .0009365 .0032828 .0099864 .0261515 .0583379 .13 .14 .000*1556 .0016792 .0054034 .0150873 .0362656 .0742582 .14 .13 .0008349 .0028388 .0084260 .0217035 .0481252 .0909031 .15 .16 .0014^65 .0045567 .0125308 .0299031 .0614314 .1075049 .16 .17 .0023848 .0069863 .0178666 .0396507 .0757520 .1232828 .17 .18 .0037612 .0102805 .0245319 .0507983 .0905536 .1375072 .18 .19 .0056996 .0145792 .0325564 .0630877 .1052425 .1495551 .19 .20 .0083302 .0199927 .0418895 .0761626 .1192110 .1589481 .20 .21 .0117798 .0265886 .0523934 .0895905 .1318816 .1653754 .21 .22 .0161606 .0343782 .0638452 .IO289II .1*127460 .1686999 .22 .23 .0215600 .0433074 .0759448 .1155683 .1513966 .1689499 .23 .24 .028027*] .0532522 .0883309 .1271429 .1575^68 .1662993 .24 .25 .0355659 .0640187 .1006008 .1371829 .1610409 .1610408 .25 .26 .0*141238 .0753499 .1123348 .1453283 .1618539 .1535536 ,26 .27 .0535907 .0869361 .1231211 .1513105 .1600821 .14*] 2715 .27 .28 .0637976 .0984305 .1325798 .1549635 .1559260 .1336508 .28 .29 .0745204 .1094678 .1403848 .1562276 .1496693 .1221440 .29 • 30 .085*1885 .1196840 .1462804 .1551460 .1416549 .1101761 .30 .31 .0963969 .1287365 .1500938 .1518544 .1322603 .0981286 • 31 .32 .1069201 .1363231 .1517406 .1465676 .1218741 .0863276 • 32 .33 .1167289 .1421972 .1512255 .1395607 .IIO8763 .0750376 .33 .34 .1255082 .1461801 .1486369 .1311502 .0996205 .0644603 .34 .35 .1329720 .1481689 .1441371 .1216742 .088*]2l6 .0547372 .35 .36 .1388800 .1481386 .1379493 .1114741 .0775472 .0459539 .36 •37 .1430479 .1461408 .1303417 .1008788 .0672130 .6381479 •37 .38 .1453568 .1422967 .1216119 .0901907 .0575817 .0313164 .38 .39 .1457579 .1367883 .1120695 .0796764 .0*]87652 .025*]246 •39 .40 .1442726 .1298453 .1020213 .0695600 .0408287 .0204144 .40 .41 .1409888 .1217318 .0917584 .0600193 .0337967 .0162114 .41 .42 .1360547 .1127310 .0815447 .0511860 .0276596 .0127321 .42 .43 .1296683 .1031315 .0716097 .0431474 .0223808 .0098892 .43 .44 .1220660 .0932141 .0621427 .0359503 .01790*]2 .0075956 .44 .45 .1135093 .0832401 .0532913 ,0296063 .0141596 .0057687 .45 . 46 .10*] 2715 .0734434 .0451608 .0240977 .0110695 .0043315 .46 .47 .0946250 .0640229 .0378170 .0193839 .0085533 .0032151 .47 .48 .0848298 .0551394 .0312894 .0154077 .0065315 .0023586 .48 .49 .0751236 .0469139 .0255770 .0121004 .0049283 .0017097 .49 .50 .0657144 .0394286 .0206531 .0093878 .0036735 .001224*] .50 82 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-31 r* 6 n=31 r= 5 n=31 r= 4 n=3l r= 3 n=3± r- 2 n=31 r- 1 p .01 .0000006 .0000131 .0002398 .0033925 .0347435 .22930 a .01 .02 .0000284 .0003216 .0029178 .0204244 .1035307 .3382003 .02 .03 .0002506 .0018702 .0111983 .0517252 .1730118 .3729365 .03 .04 .0010869 .0060197 .0267541 .0917285 .2277397 .3643835 .04 .05 .0031912 .0139922 .0492317 .1336290 .2626501 .3326901 .05 .06 .0073138 .026*1425 .0767158 .1716972 .2782680 .2906354 .06 .07 .0141158 .0432781 .1064779 .2020907 •■2777503 ..2460075 .07 .08 .0240037 .0637023 .1356623 .2228737 .2651428 .2032762 .08 .09 .0370283 .0863993 .1617765 .2336771 .2444209 .1647578 .09 .10 .0528575 .1097809 .1829681 .2352448 .2190210 .1314126 .10 .11 .0708190 .1322285 .1981202 .2289960 .1916675 .1033843 .11 .12 .0899908 .1522920 .2068164 .2166647 .1643664 .0803568 .12 .13 .1093163 .1688258 .2092286 .2000317 .138*1835 .0617849 .13 .14 .1277242 .1810595 .2059672 .1807468 .1148587 .0470374 .14 .15 .1442328 .1886123 .1979264 .1602261 .0939257 .0354831 .15 .16 .1580322 .1914621 .1861438 .1396078 .0758214 .0265375 .16 .17 .1685347 .1898876 .1716848 .1197465 .0604806 .0196858 .17 .18 .1753981 .1843929 .1555578 .1012360 .0477090 .0144893 .18 .19 .1785215 .1756305 .1386557 .0844445 .0372413 .0105844 .19 .20 .1780218 .1643278 .1217244 .0695567 .0287821 .0076752 .20 .21 .1741954 .15122*15 .1053505 .0566169 .0220332 .0055257 .21 .22 .1674730 .1370233 .08996*19 .04-55666 -.0167125 .0039502 .22 .23 .1583721 .1223544 .0758558 .0362788 .0125643 .0028043 .23 .24 .1474520 .1077535 .0631887 .0285854 .0093642 .0019769 .24 .23 .1352742 .0936515 .0520285 .0222980 .0069201 .0013840 .25 .26 .1223705 .0803735 .0423622 .0172241 .0050713 .0009623 ,26 .27 .1092188 .0681451 .0341193 .0131784 .0036859 .0006644 .27 .28 .0962286 .0571027 .0271918 .0099888 .0026571 .0004555 .28 .29 .0837317 .0473074 .0214484 .OO750I7 .0018999 .0003101 .29 • 30 .0719817 .0387594 .0167478 .0055827 .0013475 .0002096 • 30 • 3 1 .0611563 .0314128 .0129479 .0041171 .0009479 .0001407 .31 .32 .0513648 .0251886 .0099121 .0030091 .0006615 .0000937 • 32 .33 .0*126576 .0199865 .0075146 .0021795 .0004578 .0000619 .33 .34 .0350361 .0156949 .0056419 .0015646 .0003142 .0000*107 .34 .35 .0284633 .0121986 .00*11953 .0011130 .0002138 .0000265 .35 .36 .0228749 .0093845 .0030896 .0007846 .0001443 .0000171 .36 •37 .0181873 .0071463 .0022534 .0005481 .0000965 .0000110 •37 .38 .01*13066 .0053867 .0016276 .0003793 .0000641 .0000069 .38 .39 .0111347 .0040190 .00116*11 .0002601 .0000421 .0000044 •39 .40 .0085740 .0029679 ..0008244 .0001767 .0000274 .0000028 .40 .41 .0065320 .0021691 .0005781 .0001188 .0000177 .0000017 .41 .42 .0049231 .0015689 .0004013 .0000791 .0000113 .0000011 .42 .43 .0036705 .0011229 .0002756 .0000522 .0000071 .0000007 .43 .44 .0027069 .0007950 .0001873 .00003^1 .0000045 .0000004 .44 .45 .0019741 .0005568 .0001261 .00002 20 .0000028 .0000002 .45 .46 .0014237 .0003857 .0000839 .0000141 .0000017 .0000001 .46 .47 .0010152 .00026*11 .0000552 .0000089 .0000010 .0000001 .47 .48 .0007154 .0001789 .0000359 .0000055 .0000007 .0000000 .48 .49 .0004983 .0001197 .0000231 .0000034 .0000004 .0000000 .49 .50 .0003429 .0000791 .0000147 .0000021 .0000002 .0000000 .50 85 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P Q p n=31 r= 0 n=32 r=30 n=*32 r=29 n»32 r=28 11=32 r=27 n=32 r=26 p .01 ,7323034 .0000000 .0000000 .0000000 .0000000 .0000000 .61 .02 .5345746 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .3889769 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .2821033 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .2039068 .0000000 .0000000 .0000000 .0000000 .6000000 .05 .06 .1468803 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .1054317 .0000000 .0000000 .0000000 .0000000 .6000000 .07 .08 .0754089 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0537382 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0581520 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0269830 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0190092 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0133382 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0093208 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0064861 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0044943 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0031004 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0021293 .0000000 .0000000 .0000000 .000000Q .0000000 .18 .19 .0014556 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0009904 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0006706 .0000000 .0000000 .0000000 . 000000.0 .0000000 .21 .22 .0004518 .0000000 .0000000 .0000000 .0000060 .0000000 .22 .23 .0003028 .0000000 .0000000 .0000000 .0006000 .0000000 .23 .24 .0002019 .0000000 .0000000 .0000000 .0006000 .0000000 .24 .25 .0001339 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .OOOO883 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000579 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .OOOO378 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000245 .0000000 .0000000 .0000000 .0060000 .0000000 .29 .30 .0000158 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .51 .0000101 .0O00000 .0000000 .0000000 .0000000 .0000000 .31 .52 .0000064 .0000000 .0000000 .0000000 .0000006 .0000000 .32 .55 .0000041 .0000000 .0000000 .0000000 .0000000 .0000000 .33 • 34 .0000025 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .55 .0000016 .0000000 .0000000 .0000000 .0000006 .0000001 .35 .56 .0000010 .0000000 .0000000 .0000000 .0660000 .0000002 .36 .37 .0000006 .0000000 .0000000 .0000000 .0000000 .0000004 .37 .38 .0000004 .0000000 .0000000 .0000000 .0000001 .0000006 .38 .39 .0000002 .0000000 .0000000 .0000000 .0000002 .0000011 .39 .40 .0000001 .0000000 .0000000 .0000000 .0000003 .0000019 .40 .41 .0000001 .0000000 .0000000 .0000001 .0000005 .0000032 .41 .42 .0000000 .0000000 .0000000 .0000001 .0000009 .0000055 .42 .43 .0000000 .0000000 .0000000 .0000002 .0000016 .0000091 .43 .44 .0000000 .0000000 .0000000 .0000004 .0000026 .0000150 .44 .45 .0000000 .0000000 .0000001 .0000006 .0000044 .0000242 .45 .46 .0000000 .0000000 .0000001 .0000011 .0000073 .0000383 . 46 .47 .0000000 .0000000 .0000003 .0000018 .0000118 .0000599 .47 .48 .0000000 .0000000 .0000004 .0000032 . 0000189 .0000924 .48 .49 .0000000 .0000001 .0000007 .0000051 .0000300 .0001405 .49 .50 .0000000 .0000001 .0000012 .0000084 .0000468 .0002110 .50 84 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=32 r-25 n=32 r=24 n-32 r-23 n=32 r=22 n=32 r=21 n=32 r=20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .00000Q0 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .poooooo .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000003 .0000017 .23 .24 .0000000 .0000000 .0000000 .0000001 .0000006 .0000034 .24 .25 .0000000 .0000000 .0000000 .0000002 .0000013 .0000065 .25 .26 .0000000 .0000000 .0000001 .0000004 .0000024 .0000122 ,26 .27 .0000000 .0000000 .0000002 .0000008 .0000046 .0000220 .27 .28 .0000000 .0000000 .0000003 .0000017 .0000085 .0000385 .28 .29 .0000000 .0000001 .0000006 .0000031 .0000153 .0000656 .29 • 30 .0000000 .0000002 .0000011 .0000057 .0000267 .0001069 .30 .31 .0000001 .0000003 .0000020 .0000102 .0000453 .'0001767 .31 .32 .0000001 .0000006 .0000037 .0000177 .0000752 .0002798 .32 .33 .0000002 .0000012 .0000064 .0000301 .0001220 .0004334 .33 .34 .0000003 .0000022 .0000111 .0000499 .0001935 .0006574 .34 .35 .0000007 .0000038 .0000190 .0000809 .0003007 .0009773 .35 • 36 .0000012 .0000067 .0000315 .0001288 .0004582 .0014253 .36 .37 .0000021 .0000113 .0000514 .0002011 .0006850 .0020409 .37 .38 .0000037 .0000189 .0000821 .0003082 .0010056 .0028713 .38 .39 .0000063 .0000309 .0001289 .0004639 .0014509 .0039716 .39 .40 .0000106 .0000498 .0001989 .0006862 .0020587 .0054041 .40 .41 .0000175 .0000787 .0003017 .0009986 .0028741 .0072379 .41 .42 .0000284 .0001223 .0004503 .0014302 .0039501 .0095463 ,42 •4? .0000452 .0001872 .0006615 .0020170 .0053473 .0124044 .43 .44 .0000709 .0002821 .0009572 .0028021 .0071326 .0158862 .44 .45 .0001096 ..0004187 .0013648 .0038366 .0093783 .0200592 .45 . 46 .0001670 .0006128 .0019182 .0051790 .0121596 .0249800 .46 .47 .0002509 .0008841 .0026586 .0068953 .0155511 .0306887 i47 .48 .0003716 .0012583 .0036349 .0090569 .0196235 .0372027 .48 .49 .0005433 .0017669 .0049040 .0117397 .0244378 .0445117 .49 .50 .0007837 .0024490 .0065306 .0150204 .0300409 .0525715 • 50 85 BINOMIAL DISTRIBUTION Table 1 - Individual Terms qD -r p n=32 r=19 n=32 r=!l 8 n=32 r=l7 n=32 r=l6 n=32 r=l 5 n=32 r*14 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0600000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0600000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0060000 .0000002 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000004 ,0000022 .11 .12 .0000000 .0000000 .0000000 .0000002 .0060010 .0000060 .12 • 13 .0000000 .0000000 .0000001 .0000004 .0000027 .0000151 .13 .14 .0000000 .0000000 .0000002 .0000012 .0000068 .0000346 .14 .13 .0000000 .0000001 .0000005 .0000029 .0000156 .0000739 .15 .16 .0000000 .0000002 .0060012 .0000069 .0000336 .0001473 .16 .17 .0000001 .0000005 .0000028 .0000149 .0000682 .6002774 .17 .18 .0000002 .0000012 .0000063 .0000305 .0001307 .0004965 .18 .19 .0000004 .0000026 .0060131 .0000596 .0002388 .0008486 .19 .20 .0000010 .0000054 .0000261 .0001109 .0004174 .0013915 .20 .21 .0000022 .0000110 .0000495 .0001979 .0007007 .0021968 .21 .22 .0000044 .0000212 .0000902 .0003398 .0011338 .0033500 .22 .23 .0000087 .0000394 .0001582 .0005629 .0017737 .0049481 *23 .24 .0000164 .0000706 .0002681 .0009023 .0026891 .0070962 .24 .25 .0000300 .0001222 .0004401 .0014027 .0039604 .0099012 .25 .26 .0000531 .0002052 .0007009 .0021194 .0056773 .0134654 .26 .27 .0000912 .0003345 .0010855 .0031183 .0079351 .0178783 .27 .28 .0001521 .0005308 .0016378 .0044749 .0108300 .0232070 .28 .29 .0002470 .0008207 .0024113 .0062724 .0144532 .0294880 .29 • 30 .0003912 .0012388 .0034684 .0085989 .0188838 .0367184 .30 .31 .0006049 .0018274 .0048807 .0115427 .0241804 .0448507 -31 .32 .0009147 .0026378 .0067264 .0151871 .0303742 .0537877 .32 .33 .0013537 .0037301 .0096879 .0196043 .037^615 .0633817 .33 .34 .0019632 .0051720 .0120477 .0248484 .0453977 .0734375 .34 .35 .0027923 .0070378 .0156841 .0309482 .0540943 .0837173 • 35 .36 .0038984 ...0094056 .0200653 .0379011 .0634163 .0939500 .36 .37 .0053463 .0123544 .0252430 .0456677 .0731845 .1038428 •37 .38 .0072074 .0159592 .0312464 .0541673 .0831795 .1130949 .38 .39 .0095568 .0202863 .0380758 .0632767 .0931494 .1214126 •39 .40 .0124711 .0253875 .0456975 .0728303 .1028193 .1285242 .40 .41 .0160238 .0312940 .0540392 .0826241 .1119040 .1341938 .41 .42 .0202813 .0380104 .0629885 .0924207 .1201209 .1382345 .42 .43 .0252971 .0455096 .0723919 .1019590 .1272046 .1405168 .43 .44 .0311058 .0537283 .0820577 .1109645 .1329199 .1409758 .44 .45 .0377181 .0625641 .0917607 .1191614 .1370746 .1396131 .45 .46 .0451143 .0718747 .1012495 .1262869 .1395291 .1364960 .46 .47 .0532405 .0814790 .1102568 .1321029 .1402042 .1317523 ^47 .48 ;0620046 .0911615 .1185099 .1364099 .1390846 .1255625 .48 .49 .0712746 .1006779 .1257447 .1390569 .1362190 .1181492 .49 .50 .0808792 .1097646 .1317176 .1399500 .1317176 .1097646 .50 86 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=32 r=15 n*32 r s 12 n«32 r=n n=32 r=10 n=32 1- =9 n»32 r-= 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000003 .0000033 .03 .04 .0000000 .0000000 .0000000 .0000003 .0000029 .0000259 .04 .05 .0000000 .0000000 .0000002 .0000021 .0000168 .0001200 .05 .06 .0000000 .0000002 .0000012 .0000100 .0000681 .0004002 .06 .07 .0000001 .0000007 .0000056 .0000369 .0002133 .0010624 .07 .08 .0000003 .0000030 .0000192 .0001106 .0005532 .0023855 .08 .09 .0000015 .0000097 .OOOO558 .0002825 .0012418 .0047085 .09 .10 .0000047 .0000275 .0001411 .0006353 .0024860 .0083901 .10 .11 .0000131 .0000689 .0003185 .0012887 .0045334 .0137545 .11 .12 .0000328 .0001561 .0006544 .0023992 .0076497 .0210368 .12 .15 .0000747 •0003246 .0012415 .0041544 .0120878 .0303357 .13 .14 .0001571 .0006269 .0022006 .0067591 .0180522 .0415847 .14 .15 .0003082 .0011355 .0036769 .0104176 .0256668 .0545418 • 15 .16 .0005697 .0019442 .0058325 .0153104 .0349476 .0688032 .16 .17 .0009979 .0031671 .0088359 .0215700 .0457879 .0838322 .17 .18 .0016665 .0049347 .0128457 .0292599 .0579543 .0990052 .18 .19 .0026657 .0073868 .0179948 .0383573 .0710972 .1136618 .19 .20 .0041010 .0106628 .0243720 .0487441 .0847723 .1271584 .20 .21 .0060892 .0148896 .0320076 .0602048 .0984716 .1389153 .21 .22 .0087516 .0201685 .0408610 .0724353 .1116591 .1484559 .22 .23 .0122063 .0265619 .0508140 .0850582 .1238088 .1554339 .23 .24 .0165577 .0340814 .0616710 .0976458 .1344399 .1596473 .24 .25 .0218867 .0426791 .0731642 .1097464 .1431473 .1610409 .25 .26 .0282392 .0522426 .0849660 .1209131 .1496250 .1596958 ,26 .27 .0356172 .0625940 .0967060 .1307322 .1536788 .1558133 .27 .28 .0439712 .0734948 .1079923 .1388473 .1552330 .1496889 .28 .29 .0531960 .0846551 .1184338 .1449792 .1543257 .1416870 .29 • 50 .0631300 .0957472 .1276630 .1489400 .1510986 .1322113 .30 .51 .0735583 .1064222 .1^53573 .1506396 .1457802 .1216795 .31 .52 .0842201 .1163291 .1412567 .1500852 .1386657 .1104992 .32 .35 .0948198 .1251335 .1451765 .1473761 .1300949 .0990495 • 33 .54 .1050407 .1325366 .1470154 .1426915 .1204301 .0876660 .34 .55 .1145606 .1382910 .1467577 .1362751 .1100358 .0766320 .35 .56 .1230691 .1422131 .1444705 .1284182 .0992604 .0661736 .36 •37 .1302835 .1441923 .1402951 .1194405 .0884224 .0564589 •37 .58 .1359646 .1441939 .1344365 .1096719 .0777993 .0476008 .38 .59 .1399277 .1422597 .1271480 .0994362 .0676211 .0396623 .39 .40 .1420530 .1385017 .1187157 .0890368 .0580675 .0326630 .40 .41 .1422903 .1330934 .1094427 .0787454 .0492680 .0265867 .41 .42 .1406596 .1262588 .0996328 .0687940 .0413049 .0213901 .42 •ft .1372489 .1182576 .0895771 .0593709 .0342178 .0170094 .43 .44 .1322069 .1093711 .0795427 .0506181 .0280099 .0133685 .44 .45 .1257334 .0998881 .0697632 .0426331 .0226552 .0103837 .45 .46 .1180674 .0900906 .0604334 .0354718 .0181047 .0079700 .46 .47 .1094739 .0802420 .0517061 .0291534 .0142936 .0060443 .47 .48 .1002297 .0705784 .0436914 .0236662 .0111471 .0045285 .48 .49 .0906107 .0613008 .0364589 .0189734 .OO8586I .0033512 .49 .50 .0808792 .0525715 .0300409 .0150204 .0065306 .0024490 • 50 832939 0 - 50 -7 87 BINOMIitL DISTRIBUTION Table 1 - Individual Terms qD - r p n*32 r= 7 n=32 r =6 n=32 r= 5 n-32 r=4 n=32 r= 3 n=32 r = 2 p .01 .0000000 .0000007 .0000154 .0002714 .0037059 .0366892 .01 .02 .0000026 .0000343 .0003735 .0032679 .0220865 .1082241 .02 .03 .0000344 .0002992 .0021501 .0124140 .0553638 .1790096 .03 .04 .0001987 .0012842 .0068491 .0293531 .0971689 .2332054 .04 .05 .0007294 .0037312 .0157542 .0534516 .1400800 .2661521 .05 .06 .0020061 .0084616 .0294588 .0824147 .1780915 .2790100 .06 .07 .0045171 .0161572 .0477021 .1131708 .2073869 .27.55283 .07 .08 .0087785 .0271796 .0694591 .1426392 .2262552 .2601935 .08 .09 .0152345 .0414716 .0931833 .1682475 .2346441 .2372512 .09 .10 .0241634 .0585498 .1170995 .1881958 .2336224 .2102601 .10 .11 .0356119 .0775740 .1394766 .2015165 .2248899 .1819564 .11 .12 .0493664 .0974669 .1588350 .2079981 .2103890 .1542852 .12 .13 .0649651 .1170526 .1740781 .2080330 .1920304 .1285127 .13 .14 .0817434 .1351911 .1845467 .2024363 .1715224 .1053638 .14 .15 .0989026 .1508898 .1900093 .1922714 .1502811 .0851593 .15 .16 .1155893 .1633810 .1906111 .1786980 .1294020 .0679360 .16 .17 .1309756 .1721647 .1867931 .1628553 .1096713 .0535455 .17 .18 .1443276 .1770171 .1792026 .1457799 .0916011 .0417294 .18 .19 .1550588 .1779722 .1686053 .1283556 .0754758 .0321766 .19 .20 .1627628 .1752831 .1558071 .1112908 .0614018 .0245608 .20 .21 .1672276 .1693715 .1415910 .0951164 .0^93543 .0185667 .21 .22 .1684300 .1607740 .1266705 .0801972 .0392187 .0139048 .22 .23 .1665170 .1500880 .1116597 .0667531 .0308245 .0103195 .23 .24 .1617760 .1379244 .0970579 .0548839 .0239723 .0075912 .24 .25 .1545991 .1248686 .0832457 .0445959 .0184535 .0055361 .25 .26 .1454461 .1114512 .0704906 .0358262 .0140644 .0040030 .26 .27 .1348073 .0981289 .0589582 .0284652 .0106154 .0028701 .27 .28 .1231726 .0852734 .0487276 .0223749 .0079360 .0020407 .28 .29 .1110044 .0731687 .0398082 .0174039 .0058771 .0014389 .29 .30 .0987178 .0620150 .0321559 .0133983 .0043121 .0010062 .30 • 31 .0866671 .0519358 .0256887 .0102104 .0031346 .0006977 .31 .32 .0751395 .0429885 .0203001 .0077031 .0022579 .0004798 .32 .33 .0643522 .0351762 .0158707 .0057540 .0016114 .0003271 .33 .34 .0544361 .0284600 .0122769 .0042557 .0011394 .0002212 • 34 .35 .0455414 .0227706 .0093974 .0031165 .0007983 .0001483 .35 • 3 6 .0376455 .0180183 .0071183 .0022598 .0005542 .0000985 .36 .37 .0307625 .0141021 .0053360 .0016224 .0003810 .0000649 •37 .38 .0248527 .0109171 .0039582 .0011532 .0002596 .0000423 .38 .39 .0198515 .OO83596 .0029056 .0008115 .0001751 .0000274 .39 .40 .0156782 .0063316 .0021105 .0005653 .0001170 .0000175 .40 .41 .0122429 .0047432 .0015168 .OOO3898 .0000774 .0000111 .41 .42 .0094523 .0035144 .0010784 .0002660 .0000507 .0000070 .42 ♦ft .0072151 .0025750 .0007586 .0001795 .0000329 .0000043 .43 .44 .0054445 .0018657 .0005276 .0001199 .0000211 .0000027 .44 •ft .0040611 .0013364 .OOO363O .0000792 .0000133 .0000017 .45 . 46 , 0029939 .0009463 .0002468 .0000518 .OOOOO83 .0000010 .46 .47 .0021811 .0005622 .0001660 .0000334 .0000052 .0000006 .47 .48 .0015699 .0004579 .0001102 .0000213 .0000032 .0000004 .48 .49 .0011161 .0003128 .0000723 .0000135 .0000019 .0000002 .49 .50 .0007837 .0002110 .0000468 .000-0084 .0000012 .0000001 .50 08 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n- r p n-32 r- 1 n- 32 r " 0 n-33 r=3l n=33 r=30 n=33 r --29 n=33 r=28 p .01 .2343371 .7249803 .0000000 .0000000 .0000000 .0000000 .01 .02 .3421278 .5258831 .0000000 .0000000 .0000000 .0000000 .02 .03 •3734177 .3773076 .0000000 .0000000 .0000000 .0000000 .03 .04 .3610923 .2708192 .0000000 .0000000 .0000000 .0000000 .04 .05 .3262509 .1937115 .0000000 .0000000 .0000000 .0000000 .05 .06 .2820101 .1380675 .0000000 .0000000 .0000000 .0000000 .06 .07 .2361671 .0980515 .0000000 .0000000 .0000000 .0000000 .07 .08 .1930468 .0693762 .0000000 .0000000 .0000000 .0000000 .08 .09 .1547660 .0489018 .0000000 .0000000 .0000000 .0000000 .09 .10 .1220866 .0343368 .0000000 .0000000 .0000000 .0000000 .10 .11 .0949801 .02401*19 .0000000 .0000000 .0000000 .0000000 .ii .12 .0729951 .0167281 .0000000 .0000000 .0000000 .0000000 .12 .15 .0554869 .0116042 .0000000 .0000000 .0000000 .0000000 .13 .14 .0*117570 .0080159 .0000000 .0000000 .0000000 .0000000 .14 .15 .0311335 .0055132 .0000000 .0000000 .0000000 .0000000 .15 .16 .0230106 .0037752 .0000000 .0000000 .0000000 .0000000 .16 .17 .0168662 .0025734 .0000000 .0000000 .0000000 .0000000 .17 .18 .0122646 •0017460 .0000000 .0000000 .0000000 .0000000 .18 .19 .0088499 .0011790 .0000000 .0000000 .0000000 .0000000 .19 .20 .OO63382 .0007923 .0000000 .0000000 .0000000 .0000000 .20 .21 .0045062 .0005297 .0000000 .0000000 .0000000 .0000000 .21 .22 .0031806 .0003524 .0000000 .0000000 .0000000 .0000000 .22 .23 .0022289 .0002332 .0000000 .0000000 .0000000 .0000000 *23 .24 .0015509 .0001535 .0000000 .0000000 .0000000 .0000000 .24 .25 .0010714 .0001005 .0000000 .0000000 .0000000 .0000000 .25 .26 .0007350 .0000654 .0000000 .0000000 .0000000 .0000000 .26 .27 .0005006 .0000423 .0000000 .0000000 .0000000 .0000000 .27 .28 .0003385 .0000272 .0000000 .0000000 .0000000 .0000000 .28 .29 .0002273 .0000174 .0000000 .0000000 .0000000 .0000000 .29 .30 .0001515 .0000110 .0000000 .0000000 .0000000 .0000000 .30 • 31 .0001002 .0000070 .0000000 .0000000 .0000000 .0000000 ♦31 .52 .0000657 .0000044 .0000000 .0000000 .0000000 .0000000 .32 .0000429 .0000027 .0000000 .0000000 .0000000 .0000000 .33 .34 .0000277 .0000017 .0000000 .0000000 .0000000 .0000000 .34 .35 .0000178 .0000010 .0000000 .0000000 .0000000 .0000000 .35 .36 .0000113 .0000006 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000071 .0000004 .0000000 .0000000 .0000000 .0000000 .37 .38 .0000045 .0000002 .0000000 .0000000 .0000000 .0000000 .38 .39 .0000028 .0000001 .0000000 .0000000 .0000000 .0000001 .39 .40 .0000017 .0000001 .0000000 .0000000 .0000000 .0000001 .40 .41 .0000011 .0000000 .0000000 .0000000 .0000000 .0000003 .41 .42 .0000006 .0000000 .0000000 .0000000 .0000001 .0000004 .42 • 43 .0000004 .0000000 .0000000 .0000000 . 000-0001 .0000008 .43 .44 .0000002 .0000000 .0000000 .0000000 .00010002 .0000014 .44 .45 .0000001 .0000000 .0000000 .0000000 .0000004 .0000023 .45 .46 .0000001 .0000000 .0000000 .0000001 .0000005 .0000040 .46 .47 .0000000 .0000000 .0000000 .0000001 .0000010 .0000066 .47 .48 .0000000 .0000000 .0000000 .0000002 .0000017 .0000108 .48 .49 .0000000 .0000000 .0000000 .0000004 .0000029 .0000173 .49 .50 .0000000 .0000000 .0000001 .0000006 .0000048 .0000276 .50 89 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-55 r=27 n-33 r-26 n*33 r=25 n=33 r=24 n*33 r =23 n=33 r=22 p .01 .0000000 .0000000 . 0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 4ooooooo .05 .06 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .6000000 .0000000 .ooooooo .07 .08 .0000000 .0000000 .0000000 .Ooooooo .0000000 .ooooooo .08 .09 .0000000 .0000000 ,0000000 .0000000 .0000000 .ooooooo .09 .10 .0000000 .0000000 .0000000 .0000000 .0000060 .0000600 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .12 • 15 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .21 .22 .0000000 .0000000 .0000000 .0600000 .0000000 .ooooooo .22 *23 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000001 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .24 .25 .0000000 .0000000 .0000000 .0600000 .0000001 .0000005 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000002 .000.0009 ,26 .27 .0000000 .0000000 .0000000 .0000001 .0000003 .0000019 .27 .28 .0000000 .0000000 .0000000 .0000001 .0000007 .0000036 .28 .29 .0000000 .0000000 .0000000 .0000003 .0000013 .0000066 .29 • 30 .0000000 .0000000 .0000001 .0000004 .0000025 .00001-20 .30 .51 .0000000 .0000000 .0000002 .0000008 .0600045 .0000211 ,31 .52 .0000000 .0000000 .0000003 .0000016 .0000081 .0000361 .32 .55 .0000000 .0000001 .0000005 .0000029 .0000142 .0000604 ,33 .54 .0000000 .0000002 .0000009 .0000053 .0000243 .0000987 .34 .55 .0000000 .0000003 .0000018 .0000091 .0000407 .0001579 .35 .56 .0000001 .0000005 .0000032 .0000156 .0000666 .0002473 .36 .57 .0000002 .0000010 .0000055 .0000261 .0001068 .0003801 •37 .58 .0000003 .0000018 .0000095 .0000429 .0001680 .0005732 .38 .59 .0000005 .0000031 .0000159 .0000692 .0002595 .0008488 .40 .0000010 .0000054 .0000262 .0001094 .0003939 .0012352 .40 .41 .0000016 .0000091 .0000426 .0001701 .0005874 .0017676 .41 .42 .0000028 .0000151 .0000678 .0002601 .0008619 .0024886 ,42 •ft .0000048 .0000247 .0001062 .0003911 .0012444 .0034490 .43 .44 .0000080 .0000396 .0001638 .00.05792 .0017689 .0047075 .44 • 45 .0000133 .0000626 .0002487 .0008445 .0024771 .0063303 .45 .46 .0000215 .0000975 .0003721 .0012132 .0054182 .0083901 .45 .47 .0000344 .0001496 .0005485 .0017181 .0046499 .0109635 .47 .48 .0000541 .0002265 .0007972 .0023990 .0062375 .0141289 .48 .49 .0000842 .0003378 .0011428 .0033042 .0082535 .0179618 .49 .50 .0001289 .0004974 .0016163 .0044898 .0107755 .0225307 .50 90 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r =33 21 n-33 r=20 n-33 r =19 n=33 r=i8 n-33 r=l7 n=33 r=l6 p 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .12 0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .13 0000000 .0000000 .0000000 .0000001 .0000003 .0000019 .14 0000000 .0000000 .0000000 .0000002 .0000008 .0000048 .15 0000000 .0000000 .0000001 .0000003 .0000021 .0000111 .16 0000000 .0000000 .0000002 .0000009 .0000049 .0000239 .17 0000000 .0000001 .0000003 .0000021 .0000107 •0000485 .18 0000000 ..0000002 .0000008 .0000046 .0000219 .0000937 .19 0000001 .0000003 .0000019 .0000095 .0000431 .0001722 .20 0000001 .0000008 .0000040 .0000191 .0000806 .0003035 .21 0000003 .0000016 .0000081 .0000364 .0001451 .0005145 .22 0000006 .0000033 .0000157 .0000668 .0002513 .0008414 .23 0000012 .0000065 .0000294 .0001180 .0004204 .0013311 .24 0000025 .0000124 .0000531 .0002017 .0006807 .0020421 .25 0000050 .0000228. .0000927 .0003340 .0010697 .0030445 .26 0000093 .0000406 .0001569 .0005373 .0016344 .0044188 .27 0000169 .0000703 .0002581 .0008408 .0024322 .0062543 .28 0000299 .0001182 .0004134 .0012820 .0035310 .0086448 .29 0000514 .0001936 .0005454 .0019077 .0050076 .0116843 .30 0000861 .0003094 .0009839 .0027739 .0069459 .0154604 .31 0001407 .0004830 .0014661 .0039462 .0094338 •0200470 .32 0002248 .0007371 .0021379 .0054982 .0125583 .0254972 • 33 0003512 .0011014 .0030542 .0075097 .0163999 .0318352 .34 0005375 .0016125 .0042782 .0100640 .0210266 .0390493 .35 0008064 .0023156 .0058810 .0132431 .0264862 .0470866 .36 0011867 .0032639 .0079394 .0171231 .0328002 .0558489 .37 0017146 .0045190 .0105331 .0217683 .0399564 .0651919 .38 0024340 .0061498 .0137413 .0272243 .0479041 .0749270 .39 0033969 .00823Q9 .0176376 .0335115 .0565506 .0848259 .40 0046633 .0108401 .0222846 .0406195 .0657590 .0946288 .41 0063005 .0140550 .0277275 .0485011 .0753501 .1040548 .42 0083819 .0179483 .0339884 .0570690 .0851058 .1128146 .43 0109842 .0225829 .0410597 .0661932 .0947767 .1206249 .44 0141847 .0280057 .0488988 .0757026 .1040910 .1272224 .45 0180570 .0342418 .0574241 .0853871 .1127667 .1323783 . 46 0226658 .0412880 .0665126 .0950046 .1205245 .1359105 .47 0280615 .0491076 .0759999 .1042888 .1271019 .1376937 .48 0342739 .0576255 .0856822 .1129607 .1322677 .1376663 .49 0413061 .0667254 .0953219 .1207411 .1358338 .1358338 • 50 91 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n -33 r -15 n =33 r= 14 n =33 r=i3 n=33 r=12 n =33 r -11 n =33 r -10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000003 .0000028 .05 .06 .0000000 .0000000 .0000000 .0000002 .0000018 .0000135 .06 .07 .0000000 .0000000 .0000001 .0000011 .0000078 .0000492 .07 .08 .0000000 .0000001 .0000006 .0000042 .0000266 .0001460 .08 .09 .0000000 .0000004 .0000022 .0000138 .0000763 .0003688 .09 .10 .0000002 .0000011 .0000070 .0000388 .0001906 .0008203 .10 .11 .0000005 .0000034 .0000193 .0000963 .0004253 .0016456 .11 .12 .-0000016 .0000093 .0000475 .0002159 .OOO8638 .0030293 .12 .13 .0000043 .0000229 .0001071 .0004438 .0016202 .0051857 .13 .14 .0000107 .0000518 .0002228 .0008473 .0028388 .0083401 .14 .15 .0000244 .0001090 .0004324 .0015167 .0046879 .0127051 .15 .16 .0000519 .0002149 .0007896 .0025663 .0073490 .0184523 .16 .17 .0001037 .0003999 .0013667 .0041308 .0110007 .0256870 .17 .18 .0001966 .0007071 .0022547 .0063587 .0158003 .0344249 .18 .19 .0003547 .0011938 .0035627 .0094023 .0218637 .0445779 .19 .20 .0006122 .0019334 .0054134 .0134046 .0292464 .0559497 .20 .21 .0010149 .0030142 .0079373 .0184844 .0379290 .0682409 .21 .22 .0016214 .0045383 .0112634 .0247209 .0478072 .0810646 .22 .23 .0025037 .0066176 .0155080 .0321399 .0586902 .0939709 .23 .24 .0037468 .0093669 .0207634 .0407029 .0703050 .1064764 .24 .25 .0054456 .0128975 .0270849 .0503004 .0823097 .1180966 .25 .26 .0077022 .0173066 .0344801 .0607507 .0943122 .1283782 .26 .27 .0106197 .0226678 .0429010 .0718042 .1058931 .1369278 .27 .28 .0142955 .0290210 .0522379 .0831541 .1166317 .1434352 .28 .29 .0188133 .0363633 .0623192 .0944509 .1261319 .1476897 .29 .30 .0242342 .0446419 .0729152 .1053219 .1340461 .1495876 .30 .31 .0305882 .0537501 .0837461 .1153921 .1400948 .1491331 • 31 .32 .0378665 .0635260 .0944950 .1243059 .1440818 .1464310 • 32 .33 .0460151 .0737563 .1048234 .1317476 .1459024 .1416733 • 33 .34 .0549313 .0841826 .1143893 .1374594 . 1455^52 .1351226 .34 .35 .0644624 .0945124 .1228662 .1412544 .1430888 .1270913 .35 .36 .0744084 .1044329 .1299609 .1430258 .1386916 .1179214 .36 .37 .0845280 .1136259 .1354298 .1427503 .1325789 .1079638 •37 .38 .0945474 .1217853 .1390918 . 140-4861 .1250259 .0975603 .38 .39 .1041721 .1286335 .1408372 .1363661 .1163404 .0870283 •39 .40 .1131013 .1339357 .1406325 .1305873 .1068441 .0766491 .40 .41 .1210429 .1375133 .1385196 .1233966 .0968568 .0666597 .41 .42 .1277286 .1392530 .1346113 .1150759 . 0866805 .0572486 .42 •43 .1329289 .1391116 .1290826 .1059249 .0765885 .0485550 .43 .44 .1364645 .1371174 .1221592 .0962466 .0668158 .0406706 .44 .45 .1382169 .1333672 .1141030 .0863320 .0575546 .0336430 • 45 .46 .1381339 .1280188 .1051980 .0764483 .0489511 .0274829 .46 .47 .1362318 .1212814 .0957349 .0668302 . 041*1063 .0221693 .47 .48 .1325940 .1134028 .0859970 .0576727 .0340793 .0176570 .48 .49 .1273648 .1046553 .0762489 .0491283 .0278910 .0138836 .49 .50 .1207411 .0953219 .0667254 .0413061 .0225307 .0107755 .50 92 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=33 r= 9 n=33 r- 8 n=33 r« 7 n=33 r= 6 n*33 r= 5 n=33 r= 4 P .01 .0000000 .0000000 .0000000 .0000009 .0000179 .0003057 .01 .02 .0000000 .0000002 .0000033 .0000410 .0004314 .0036443 .02 .03 .0000004 .0000042 .0000424 .0003547 .0024580 .0137025 • 03 .04 .0000038 .0000328 .0002422 .0015068 .0077492 .0320657 .04 • 05 .0000220 .0001505 .0008795 .0043324 .0176390 .0577830 • 05 .06 .0000881 .0004965 .0023934 .0097214 .0326362 .0881553 .06 .07 .0002727 .0013043 .0053319 .OI83653 .0522849 .1197659 • 07 .08 .0006997 .0028969 .0102506 .0305620 .0753135 .1493285 .08 .09 .0015538 .0056558 .0175958 .0451257 .0999391 .1742232 .09 .10 .0030764 .0099674 .0276020 .0644048 .1242093 .1927384 .10 .11 .0055477 .0161588 .0402277 .0843834 .1463009 .2040876 .11 .12 .0092562 .0244363 .0551384 .1048311 .1647345 .2082851 .12 .13 .0144600 .0348376 .0717365 .1244658 .1784923 .2059527 • 13 .14 .0213468 .0472068 .0892262 .1421009 .1870511 .1981084 .14 .15 .0299980 .0611959 .1067007 .1567577 .1903487 .1859728 • 15 .16 .0403645 .0762890 .1232359 .1677379 .1887050 .1708106 .16 .17 .0522554 .0918467 .1379777 .1746515 .1827237 .1538140 .17 .18 .0653^34 .1071632 .1502118 .1774105 .1731865 .1360277 .18 .19 .0791844 .1215273 .1594123 .1761925 .1609579 .1183084 .19 .20 .0932496 .1342793 .1652668 .1713879 .1469039 .1013130 .20 .21 .1069647 .1448609 .1676778 .1635376 .1318314 .0855063 .21 .22 .1197544 .1528502 .1667457 .1532712 .1164464 .0711819 .22 .23 .1310825 .1579830 .1627383 .1412495 .1013312 .0584895 *23 .24 .1404896 .1601582 .1560516 .1281165 .0869361 .0474652 .24 • 25 .1476208 .1594304 .1471665 .1144628 .0735833 .0380603 • 25 .26 .1522434 .1559909 .1366074 .1008015 .0614778 .0301682 .26 .27 .1542551 .1501416 .1249042 .0875528 .0507251 .0236457 .27 .28 .1536807 .1422644 .1125608 .0750405 .0413489 .0183320 .28 .29 .1506605 .1327891 .1000320 .0634942 .0333109 .0140612 • 29 • 30 .1454324 .1221633 .0877069 .0530573 .0265286 .0106725 .30 .31 .1383090 .1108257 .0759004 •0437992 .0208904 .0080169 • 31 .32 .1296525 .0991841 .0648511 .0357282 .0162691 .0059606 .32 • 33 .1198499 .0875994 .0547241 .0288054 .0125322 .0043870 • 33 .34 .1092903 .0763747 .0456174 .0229578 .0095497 .0031961 .34 .35 .0983445 .0657503 .0375716 .0180900 .0071991 .0023051 • 35 • 3 6 .0873492 .0559035 .0305797 .0140943 .0053693 .0016457 .36 .37 .0765959 .0469512 .0245982 .OIO8586 .0039620 .0011631 .37 .38 .0663239 .0389565 .0195572 .0082727 .0028923 .0008137 .38 • 39 .0567172 .0319361 .0153697 .0062325 .0020889 .OOO5633 .39 .40 .0479057 .0258690 .0119396 .0046432 .0014924 .0003860 .40 .41 .0399687 .0207057 .0091680 .0034204 .0010548 .0002616 .41 .42 .0329406 .0163763 .0069584 .0024912 .0007372 .0001756 .42 .^3 .0268182 .0127979 .0052199 .0017939 .0005096 .0001164 .43 .44 .0215676 .0098820 .0038698 .0012769 .0003483 .0000764 .44 .45 .0171331 .0075385 .0028350 .OOO8983 .OOO2353 .0000496 -45 .46 .0134428 .0056810 .0020520 .0006245 .0001571 .0000318 .46 .47 .0104164 .0042286 .0014673 .0004289 .0001037 .0000201 .47 .48 .0079702 .0031084 .0010361 .0002910 .0000676 .0000126 .48 .49 .0060209 .0022561 .0007225 .0001949 .0000435 .0000078 .49 .50 .0044898 .0016163 .0004974 .0001289 .0000276 .0000048 .50 93 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n- r p n-33 r- 3 n-33 r= 2 n-33 r= 1 n^=33 r- 0 n-34 r=3i n=34 r=3 0 p .01 .0040358 .0386657 .2392435 .7177305 .0000000 .0000000 .01 .02 .0238093 .1129022 .3457628 .5134055 .0000000 .0000000 .02 .03 .0590732 .1848418 .3735345 .3659883 .0000000 .0000000 .03 .04 .1026104 .2383209 .3574814 .2599864 .0000000 .0000000 .04 • 05 .1463836 .2691570 .'3196240 .1840259 .0000000 .0000000 .05 .06 .1841466 .2791900 .2733736 .1297834 .0000000 .0000000 .06 .07 .2121568 .2727731 .2264990 .0911879 .0000000 .0000000 .07 .08 .2289703 .2548217 .1831532 .0638261 .0000000 .0000000 .08 .09 .2348787 .2298275 .1452383 .0445006 .0000000 .0000000 .09 .10 .2312862 .2014428 .1133115 .0309032 .0000000 .0000000 .10 .11 .2201672 .1723890 .0871740 .0213732 .0000000 .0000000 .11 .12 .2036565 .1445304 .0662431 .0147207 .0000000 ,0000000 .12 .13 .1837731 .1190193 .0497821 .0100957 .0000000 .0000000 .13 .14 .1622602 .0964589 .0370333 .0068936 .0000000 .0000000 .14 .15 .1405128 .0770554 .0272905 .0046862 .0000000 .0000000 .15 .16 .1195675 .0607479 .0199330 .0031711 .0000000 .0000000 .16 .17 .1001300 .0473099 .0144365 .0021359 .0000000 .0000000 .17 .18 .0826242 .0364258 .0103712 .0014317 .0000000 .0000000 .18 .19 .0672490 .0277444 .0073925 .0009550 .0000000 .0000000 .19 .20 .0540336 .0209162 .0052291 .OOO6338 .0000000 .0000000 .20 .21 .0428889 .0156140 .0036711 .0004185 .0000000 .0000000 .21 .22 .0336497 .0115455 .0025583 .0002749 .0000000 .0000000 .22 .23 .0261084 .0084587 .0017698 .0001796 .0000000 .0000000 .23 .24 .0200408 .0061415 .0012156 .0001166 .0000000 .0000000 .24 • 25 .0152241 .0044199 .0008288 .0000753 .0000000 .0000000 .25 .26 .0114484 .0031533 .0005609 .0000484 .0000000 .0000000 ,26 .27 .0085242 .0022303 .0003769 .0000309 .ooo'oooo .0000000 .27 .28 .OO62853 .0015640 .0002514 .0000196 .0000000 .0000000 .28 .29 .0045900 .0010875 .0001665 .0000123 .0000000 .0000000 .29 .30 .0033203 .0007497 .0001094 .0000077 .0000000 .0000000 .30 .31 .0023792 .0005125 .0000713 .0000048 .0000000 .0000000 .31 • 32 .0016889 .OOO3473 .0000461 .0000030 .0000000 .0000000 .32 .33 .OOH875 .0002334 .0000296 .0000018 .0000000 .0000000 .33 .34 .0008272 .0001554 .0000189 .0000011 .0000000 .0000000 .34 .35 .0005708 .0001026 .0000119 .0000007 .0000000 .0000000 .35 .36 .0003901 .0000671 .0000075 .0000004 .0000000 .0000000 .36 .37 .0002640 .0000435 .0000047 .0000002 .0000000 .0000000 .37 .38 .0001770 .0000279 .0000029 .0000001 .0000000 .0000000 .38 .39 .0001175 .0000178 .0000017 .0000001 .0000000 .0000000 .39 .40 .0000772 .0000112 .0000011 .0000000 .0000000 .0000000 .40 .41 .OOOO503 .0000069 .0000007 .0000000 .0000000 .0000000 .41 .42 .OOOO323 .0000043 .0000004 .0000000 .0000000 .0000000 ,42 .43 .0000206 .0000027 .0000002 .0000000 .0000000 .0000001 .43 .44 .0000130 .0000016 .0000001 .0000000 .0000000 .0006001 .44 .45 .0000081 .0000009 .0000001 .0000000 .0000000 .0000002 .45 .46 .0000050 .0000006 .0000000 .0000000 .0000000 .0000003 .46 .47 .0000030 .0000004 .0000000 .0000000 .0000001 .0000005 .47 .48 .0000018 .0000002 .0000000 .0000000 .0000001 .0000009 .48 .49 .0000011 .0000001 .0000000 .0000000 .0000002 .0000016 .49 .50 .0000006 .0000001 .0000000 .0000000 .0000004 .0000027 ,50 94 BINOMIAL DISTRIBUTION Table 1 - Individual Terms (?)p r c n-r p n=54 rs: 29 n-5^ r=28 n=34 r-27 n=34 r=26 n*34 r*2 5 n=34 r=24 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .’0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 ' .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .29 • 30 .0000000 .OO'OOOOO .0000000 .0000000 .0000002 .0000011 .30 .31 .0000000 .0000000 .0000000 .0000001 .0000003 .0000020 .31 .32 .0000000 .0000000 .0000000 .0000001 .0000007 .0000037 .32 .33 .0000000 .0000000 .0000000 .0000003 .0000013 .0000065 .33 .34 .0000000 .0000000 .0000001 .0000004 , 000002*1 .0000117 .34 .35 .0000000 .0000000 .0000001 .0000009 .0000043 .0000202 .35 • 36 .0000000 .0000000 .0000003 .0000015 ,0000076 .0000340 .36 .37 .0000000 .0000001 .0000004 .0000027 .0000132 .0000559 .37 .38 .0000000 .0000001 .0000009 .0000047 .0000222 .0000904 .38 .39 .0000000 .0000003 .0000015 .0000081 .0000367 .0001434 .39 .40 .0000001 .0000004 .0000027 .0000138 .0000595 .0002232 .40 .41 .0000001 .0000008 .0000047 .0000229 .0000948 .0003412 .41 .42 .0000002 .0000015 .0000080 .0000372 .0001486 .0005128 .42 -*3 .0000005 .0000026 ,0000133 .0000597 .0002288 .0007580 .43 .44 .0000007 .0000043 ,0000220 .0000942 .0003466 .0011026 .44 .45 .0000012 .0000073 .0000355 .0001463 .0005168 .0015792 .45 .46 .0000022 .0000120 .0000565 .0002238 .0007590 .0022275 . 46 .47 .48 .0000056 .0000061 .0000196 .0000316 .0000886 .0001-368 .0003371 , 000-5004 .0010982 .0015661 .0030961 .0042415 .47 .48 .49 .0000100 .0000500 .0002085 .0007323 .0022019 .0057293 .49 .50 .0000152 .0000783 .0003131 .0010568 .0030531 .0076327 .50 95 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n=34 r =23 n=34 r=22 11=34 r=2 1 n=34 r=2 0 n=34 r- 19 n=34 r =18 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .000000:0 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 : 0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000003 .0000016 .17 .18 .0000000 .0000000 .0000000 .0000001 .0000007 .0000036 .18 .19 .0000000 .0000000 .0000000 .0000003 .0000016 .0000079 .19 .20 .0000000 .0000000 .0000001 .0000007 .0000034 .0000163 .20 .21 .0000000 .oocoooo .0000003 .0000014 .0000072 .0000320 .21 .22 .0000000 .0000001 .0000006 .0000030 .0000143 .0000603 .22 .23 .0000000 .0000003 .0000012 .0000061 .0000275 .0001092 *23 .24 .0000001 .0000005 .0000025 .0000120 .0000507 .0001905 .24 .25 .0000002 .0000010 .0000050 .0000226 .0000902 .0003214 .25 .26 .0000003 .0000020 .0000096 .0000410 .000155^ .0005253 .26 .27 .0000008 .0000039 .0000177 .0000721 .0002596 .0008335 .27 .28 .0000015 .0000073 .0000319 .0001228 .0004213 .0012864 .28 .29 .0000029 .0000134 .0000555 .0002038 .0006653 .0019342 .29 • 30 .0000053 .0000238 .0000940 .0003292 .0010241 .0028377 .30 .31 .0000097 .0000412 .0001553 .0005185 ,0015388 .0040672 .31 .32 .0000171 .0000696 .0002502 .0007975 .0022597 .0057023 .32 .33 .0000295 .0001146 .0003938 .0011994 .0032468 .0078280 .33 .34 .0000496 .0001846 .0006063 .0017653 .0045691 .0105324 .34 .35 .0000816 .0002908 .0009138 .0025455 .0063032 .0139009 .35 .36 .0001316 .0004486 .0013497 .0035992 .0085313 .0180106 .36 .37 .0002080 .0006785 .0019553 .0049938 .0113373 .0229237 •37 .38 .0003220 .0010070 .0027802 .0068044 .0148025 .0286797 .38 .39 .0004894 .0014670 .0038832 .0091104 .0189997 .0352894 .39 .40 .0007304 .0020998 .0053305 .0119936 .0239872 .0427271 .40 .41 .0010713 .0029548 .0071958 .0155324 .0298019 .0509267 .41 .42 .0015451 .0040896 .0095574 .0197974 .0364525 .0597777 .42 .43 .0021924 .0055701 .0124954 .0248456 ,0439131 .0691248 .*3 .44 .0030619 .0074693 .0160876 .0307126 ,0521185 .0787700 .44 .45 .0042111 .0098648 .0204041 .0374076 ,0609605 .0884773 .45 .46 .0057053 .0128368 .0255020 .0449056 .0702871 .0979818 .46 .47 .0076172 . 0164636 .0314182 .0531^36 .0799039 .1069989 .47 .48 .0107)254 .0208165 .0381637 .0620159 .0895785 .1152391 .48 .49 .0130105 .0259548 .0457162 .0713733 .0990487 .1224211 .49 .50 .0166530 .0319184 .0540158 .0810237 .1080315 .1282874 .50 96 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-34 r =17 n=34 r=16 n=34 r-1 5 n=34 r=l4 n-34 r=l 3 n=34 r=12 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015 .07 .08 .0000000 .0000000 .0000000 .0000001 .0000009 .0000060 .08 .09 .0000000 .0000000 .0000001 .0000005 .0000032 .0000195 .09 .10 .0000000 .0000000 .0000003 .0000017 .0000101 .0000540 .10 .11 .0O00000 .0000001 .0000009 .0000051 .0000278 .0001325 .11 .12 .0000001 .0000004 .0000025 .0000139 .0000677 .0002937 .12 .13 .0000002 .0000012 .0000068 .0000338 .0001509 .0005968 .13 .14 .0000005 .0000032 .0000165 .0000757 .0003102 .0011251 .14 .15 .0000014 .0000078 .0000371 .0001575 .0005950 .0019924 .15 .16 .0000035 .0000176 .0000780 .0003068 .0010739 .0033315 .16 .17 .0000081 .0000375 .0001541 .0005643 . 0018366 .0052985 .17 .18 .0000175 .0000752 .0002885 .0009815 .0029935 .0080582 .18 .19 .0000355 .0001432 .0005142 .0016439 .0046722 .0117700 .19 .20 .0000688 .0002602 .0008765 .0026293 .0070117 .0165730 .20 .21 .0001275 .0004529 .0014347 .0040480 .0101522 .0225678 .21 .22 .0002264 .0007580 .0022631 .0060179 .0142240 .0297999 .22 .23 .0003870 .0012237 .0034500 .0086623 .0193334 .0382464 .23 .24 .0006389 .0019109 .0050956 .0121021 .0255489 .0478074 .24 .25 .0010211 .0028930 .0073086 .0164443 .0328888 .0583027 .25 .26 .0015832 .0042554 .0101994 .0217717 .0413105 .0694767 .26 .27 .0023862 .0060930 .0138727 .0281308 .0507048 .0810082 .27 .28 .0035024 .0085058 .0184187 .0355217 .0608944 .0925278 .28 .29 .0050140 .0115937 .0239028 .0438905 .0716374 .1036384 .29 • 30 .0070106 .0154493 .0303565 .0531239 .0826372 .1139391 .30 .31 .0095855 .0201499 .0377684 .0630489 .0935563 .1230500 • 31 .32 .0128301 .0257492 .0460775 .0734361 .1040345 .1306342 .32 .33 .0168282 .0322681 .0551697 .0840084 .1137084 .1364187 .33 .34 .0216479 .0396878 .0648768 .0944528 .1222332 .1402086 .34 .35 .0273345 .0479439 .0749799 .1044363 .1293021 .1418964 .35 • 36 .0339024 .0569224 .0852172 .1136230 .1346643 .1414655 .36 .37 .0413282 .0664601 .0952943 .1216933 .1381384 .1389869 •37 .38 .0495459 .0763470 .1048978 .1283618 .1396216 .1346113 .38 .39 .0584431 .0863325 .1137121 •1333929 .1390935 .1285561 .39 .40 .0678608 .0961360 .1214351 .1366144 .1366144 .1210900 .40 .41 .0775956 .1054586 .1277957 .1379260 .1323191 .II25153 .41 .42 .0874060 .1139978 .1325689 .1373035 .1264064 .1031498 .42 •43 .0970206 .1214637 .1355874 .1347992 .1191248 .0933102 .43 .44 .1061498 .1275943 .1367518 .1305358 .1107577 .0832971 .44 .45 .1145002 .1321699 .1360345 .1246984 .1016060 .0733821 * 4 5 .46 .1217880 .1350259 .1334809 .1175213 .0919732 .0637995 . 46 .47 .1277559 .1360615 .1292052 .1092745 .0821497 .0547399 .47 .48 .1321860 .1352459 .1233821 .1002481 .0724013 .0463^79 .48 .49 .1349130 .1326186 .1162371 .0907362 .0629597 .0387220 .49 .50 .1358338 .1282874 .1080315 .0810237 .0540158 .0319184 .50 97 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=34 r=ll n=34 r=10 n=34 r=9 n»34 r=8 n=34 r - 7 n=34 r= 5 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000011 .01 .02 .0000000 .0000000 .0000000 .0000003 .0000040 .0000489 .02 .03 .0000000 .0000000 .0000005 .0000054 .0000517 .0004179 • 03 .04 .0000001 .0000005 .0000049 .0000412 .0002927 .0017565 .04 .05 .0000005 .0000037 .0000284 .0001869 .0010522 .0049977 .05 .06 .0000025 .0000180 .0001125 .0006104 .0028331 .0110963 .06 .07 .0000106 .0000649 .0003449 .0015863 .0062442 .0207397 .07 .08 .0000361 .0001904 .0008755 .0034852 .0118755 .0341421 .08 .09 .0001026 .0004754 .0019230 .0067304 .0201635 .0509689 .09 .10 .0002536 .0010460 .0037654 .0117309 .0312823 .0703853 .10 .11 .0005595 .0020748 .0067149 .0188065 .0450848 .0911943 .11 .12 .0011236 .0037765 .0110778 .0281206 .0611016 .1120194 .12 .13 .0020836 :0063914 .0171091 .0396344 .0785913 .1314893 .13 .14 .0036090 .0101611 .0249671 .0530896 .0966286 .1483939 .14 .15 .0058905 .0152990 .0346777 .0680216 .1142092 .1617964 .15 .16 .0091256 .0219583 .0461124 .0838004 .1303563 .1710926 .16 .17 .0134974 .0302036 .0589860 .0996889 .1442122 .1760238 .17 .18 .0191527 .0399902 .0728710 .1149119 .1551076 .1766502 .18 .19 .0261794 .0511531 .0872296 .1287254 .1626006 .1732979 .19 .20 .0345871 .0634097 .1014554 .1404769 .1664910 .1664911 .20 .21 .0442945 .0763729 .1149229 .1496525 .1668083 .1568793 .21 .22 .0551238 .0895764 .1270354 .1559072 .1637813 .1451698 .22 .23 .0668048 .1025065 .1372697 .1590767 .1577959 .1320683 *23 .24 .0789861 .1146396 .1452101 .1591726 .1493^72 .1182331 .24 .25 .0912565 .1254776 .1505732 .1563644 .1389906 .1042429 .25 .26 .1031694 .1345831 .1532177 .1509512 .1272979 .0905773 .26 .27 .1142725 .1416062 .1531445 .1433275 .1148192 .0776094 .27 .28 .1241367 .1463040 .1504841 .1339474 .1020551 .0655069 .28 .29 .1323837 .1485512 .1454777 .1232895 .0894361 .0547410 .29 • 30 .1387086 .1483410 .1384517 .1118263 .0773121 .0.450987 • 30 .31 .1428967 .1457776 .1297892 .0999988 .0659491 .0366974 .31 .32 .1448335 .1410619 .1199026 .0881975 .0555318 .0295013 .32 .33 .1445068 .1344716 .1092072 .0767506 .0461709 .0234352 • 33 .34 .1420015 .1263396 .0980990 .0659172 .0379131 .OI8399I .34 .35 .1374897 .1170299 .0869365 .0558878 .0307530 .0142782 • 35 • 36 .1312143 .1069154 .0760287 .0467870 .0246449 .0109533 .36 .37 .1234713 .0963577 .0656274 .0386805 .0195146 .0083068 •37 .38 .1145889 .0856905 .0559243 .0315848 .0152690 .0062282 .38 .39 .1049086 .0752070 .0470526 .0254752 iOiisoei .0046166 •? 9 .40 .0947662 .0651517 .0390910 .0202973 .0090210 .0033829 .40 .41 .0844760 .0557163 .0320709 .0159753 .0068115 .0024505 .41 .42 .0743191 .0470393 .0259836 .0124207 .0050822 .0017546 ,42 • J3 .0645341 .0392082 .0207895 .0095394 .0037467 .0012416 .43 .44 .0553119 .0322652 .0164260 .0072366 .0027290 .OOO8683 .44 .45 .0467945 .0262135 .0128155 .0054219 .0019635 .0006000 .45 .46 .0390758 .0210244 .0098723 .0040117 .0013954 .0004095 . 46 .47 .0322060 .0166454 .0075082 .0029307 .0009793 .6002760 .47 .48 .0261966 .0130073 .0056365 .0021137 .OOO6785 .OOOI837 .48 .49 .0210274 .0100310 .0041-761 .0015046 .0004640 .0001207 .49 .50 .0166530 .0076327 .0030531 .0010568 .0003131 .OOOO783 .50 98 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-34 r=5 n-34 r=4 n-34 r= 5 n=34 r=£ n=34 r = ^ n=»"34 r=0 p .01 .0000207 .0003431 .0043821 .0406714 .2440284 .7105532 .01 .02 .0004956 .0040476 .0255911 .1175594 .3491157 .5031374 .02 .03 .0027953 .0150636 .0628463 .1905025 .3733081 .3550087 .03 .04 .0087219 .0348875 .1080389 .2430873 .3535815 .2495870 .04 .03 .0196462 .0622131 .1525223 .2716803 .3128441 .1748246 .05 .06 .0359673 .0939148 .1898492 .2788411 .2647581 .1219964 .06 .07 .0570085 .1262333 .2164000 .2695338 .2170272 ..0848048 .07 .08 .0812347 .1556998 .2310384 .2490883 .1736070 .0587200 .08 .09 .1066246 .1796823 .2344241 .2222145 .1361718 .0404956 .09 .10 .1310621 .1965933 .2283018 .1926296 .1050708 .0278128 .10 .11 •1526575 .2058563 .2149116 .1630153 .0799359 .0190222 .11 .12 .1699606 .2077297 .1965613 .1351360 .0600604 .0129542 .12 .13 .1820622 .2030693 .1755551 .1100185 .0446229 .OO87832 .13 .14 .1885992 .1930897 .1530480 .0881392 .0328138 .0059285 .14 .13 .1896923 .1791538 .1309942 .0695907 .0238998 .OO39833 .15 .16 .1858419 .1626117 .1101563 .0542176 .0172510 .0026638 .16 • 3.7 .1778091 .1446877 .0911506 .0417214 .0123454 .0017728 .17 .18 .1664979 .1264151 .0743085 .0317359 .0087621 .0011740 .18 .19 .1528545 .1086071 .0597431 .0238776 .0061693 .0007736 .19 .20 .1377857 .0918571 .0474101 .0177788 .0043100 .0005071 .20 .21 .1221031 .0765567 .0371612 .0131059 .0029881 .OOO3306 .21 .22 .1064882 .0629249 .0287867 .0095683 .0020560 .0002144 .22 .23 .0914776 .0510419 .0220489 .0069202 .0014041 .OOOI383 *23 .24 .0774632 .0408833 .0167050 .0049593 .0009518 .0000886 .24 .25 .0647026 .0323512 .0125231 .0035221 .0006404 .0000565 .25 .26 .0533373 .0253011 .0092917 .0024792 .0004277 .OOOO358 ,26 .27 .0434136 .0195630 .0068248 .0017299 .0002835 .0000225 .27 .28 .0349042 .0149589 .0049633 .0011965 .0001865 .0000141 .28 .29 .0277286 .0113145 .0035743 .0008204 .0001217 .0000088 .29 • 30 .0217718 .0084668 .0025491 .0005576 .OOOO789 .0000054 .30 .31 .0168997 .0062692 .OOI8005 .0003757 .0000507 .0000033 ,31 .32 .0129704 .0045937 .0012595 .0002510 .OOOO323 .0000020 .32 .33 *0098443 .0033312 .0008726 .0001661 .0000205 .0000012 .33 • 34 .0073895 .0023907 .0005988 .0001089 .0000129 .0000007 .34 .35 .0054862 .0016981 .0004069 .0000709 .0000080 .0000004 .35 • 36 .0040288 .0011938 .0002738 .0000456 .0000049 .0000003 .36 .37 .0029264 .0008305 .0001824 .0000291 .0000030 .0000002 .37 .38 .0021024 .0005717 .0001204 .0000184 .0000018 .0000001 .38 .39 .0014939 .0003894 .0000786 .0000116 .0000010 .0000001 .39 .40 .0010498 .0002625 .0000508 .0000071 .0000007 .0000000 .40 .41 .0007295 .0001750 .0000325 .0000044 .0000004 .0000000 .41 .42 .0005013 .0001153 .0000206 .0000027 .0000002 .0000000 .42 • *3 .0003406 .0000752 .0000129 .0000016 .0000001 .0000000 .43 .44 .0002286 .0000485 .0000080 .0000009 .0000001 .0000000 .44 .45 .0001517 .0000309 .0000049 .0000006 .0000000 .0000000 .45 . 45 .0000994 .0000195 .0000030 .0000003 .0000000 .0000000 .46 .47 .0000644 .0000121 .0000018 .0000002 .0000000 .0000000 .47 .48 .0000412 .0000074 .0000011 .0000001 .0000000 .0000000 .48 .49 .0000260 .0000045 .0000006 .0000001 .0000000 .0000000 .49 .50 .0000162 .0000027 .0000004 .0000000 .0000000 .0000000 .50 99 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n-35 r=32 n-35 r=3l n-35 r=3 0 n=35 r =29 n-35 r=2 8 n»35 r =2 7 p .01 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .01 .02 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .02 .03 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .03 .04 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .04 .05 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .05 .06 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .06 .07 .0000000 .0000000 .ooooooo .ooooooo .ooooooo •OOOOOOO .07 .08 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .08 .09 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .09 .10 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .10 .11 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .11 .12 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .12 .13 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .13 .14 .0000000 .0000000 .ooooooo .ooooooo •OOOOOOO .ooooooo .14 .15 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .15 .16 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .16 .17 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .17 .18 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .19 .20 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .21 .22 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .22 • 23 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo *23 .24 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .24 .25 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .25 .26 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo ,26 .27 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .27 .28 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .28 .29 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .29 • 30 .ooooooc .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .30 .31 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo -31 .32 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .0000001 .32 .33 .0000000 .0000000 .ooooooo •OOOOOOO .ooooooo .0000001 .33 .34 .0000000 .0000000 .ooooooo .ooooooo •OOOOOOO .0000002 .34 .35 .0000000 .0000000 .ooooooo .ooooooo .0000001 .0000003 .35 .36 .0000000 .0000000 .ooooooo .ooooooo .0000001 .0000007 .36 .37 .0000000 .0000000 .ooooooo .ooooooc .0000002 .0000013 •37 .38 .0000000 .0000000 .ooooooo .0000001 .0000004 .0000023 .38 .39 .0000000 .0000000 .ooooooo .0000001 .0000008 .0000041 .39 .40 .0000000 .0000000 .ooooooo .0000003 .0000013 .0000071 .40 .41 .0000000 .0000000 .0000001 .0000004 .0000024 .0000121 .41 .42 .00.00000 .0000000 .0000001 .0000008 .0000041 .0000203 .42 • 43 .0000000 .ooooooo .0000002 .0000013 .0000072 .0000333 .43 .44 .0000000 .0000001 .0000003 .0000023 .0000121 .0000537 .44 .45 .0000000 .0000001 .0000006 .0000040 .0000199 .0000854 .45 . 46 .0000000 .0000002 .0000011 .0000067 .0000325 .0001334 .46 .47 .0000000 .0000003 .0000020 .0000111 .0000521 .0002054 .47 .48 .0000001 .0000005 .0000033 .0000183 .0000822 .0003113 .48 .49 .0000001 .0000009 .0000057 .0000296 .0001277 .0004651 .49 .50 .0000002 .0000015 .0000095 .0000472 .0001957 .0006850 .50 100 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p 1 n=55 r*26 n=55 r=?5 11=55 r-24 n=55 r=23 n=35 r=2L2 n=35 r=21 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .OOOOOQO .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0060006 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0900000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000600 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0006000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .6000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0006003 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .22 • 25 .0000000 .0000000 .0000000 .0000001 .0000004 .0000024 *23 .24 .0000000 t0000000 .6000000 .0000002 .0000010 .0000048 .24 .25 .0000000 .0000000 .0000001 .0000003 .0000020 .0000094 .25 .26 .0000000 .0000000 .0000002 .0000008 .0000039 .0000178 ,26 .27 .0000000 .0000001 .0000005 .0000015 .0000077 .6000324 .27 .28 .0000000 .0000001 .0000006 .0000051 .0000142 .0000574 .28 .29 .0000000 .0000005 .0000012 .0000059 .0000256 .0000985 .29 .50 .0000001 .0000004 .0000024 .0000108 .6000449 .0001646 .30 .31 .0000002 .0000008 .0000044 .0000195 .0000765 .0002679 .31 .32 .0000005 .0000016 .0000080 .0000339 .0001273 .0004254 .32 .33 .0000006 .0000051 .0000141 .0000576 .0002068 .0006596 .33 .34 .0000011 .0000056 ,0000246 .0000955 .0003279 .0010004 .34 .35 .0000021 .0000099 .0000416 .0001549 .0005088 •0014849 .35 • 36 .0000057 .0000171 .0000692 .0002457 .0007730 .0021595 .36 .37 .0000066 .0000290 .0001122 :0003820 .0011510 .0036795 .37 .38 .0000115 .0000482 .0001784 .0005823 .0016808 .0045094 .38 .39 .0000192 .0000785 .0002784 .0008706 .0024093 .0059218 .39 .40 .0000521 .0001250 .0004260 .0012782 .0033921 .0079958 .40 .41 .0000525 .0001959 .0006406 '.0018435 .0046936 .0106138 .41 .42 .0000840 .0005015 .0009464 .0026138 .0063861 .0138582 .42 .43 .0001524 .0004565 .0015748 .0036448 .0085480 .0178060 .43 .44 .0002053 .0006792 .0019648 .0050011 .0112613 .0225226 .44 -*5 .0005131 .0009949 .0027655 .0067552 .0146075 .0280557 .45 . 46 .0004700 .0014546 .0058272 .0089858 .0186628 .0344277 .46 .47 .0006948 .0020572 .0052210 .0117750 .0234923 .0416291 .47 .48 .0010120 .0028502 .0070178 .0152051 .0291432 .0496127 .48 .49 .0014524 .0059305 .0092972 .0193532 .0356379 .0582881 .49 .50 .0020550 .0055428 .0121429 .0242857 .0429671 .0675197 .50 101 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n- r p n =35 r=20 n =35 r =19 n=35 r =18 n =35 r =17 n =35 r=r6 n =35 r=15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .000000c .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000002 .0000014 .11 .12 .0.000000 .0000000 .0000000 .0000001 .0000007 .0000039 .12 .13 .0000000 .0000000 .0000001 .0000003 .0000019 .0000103 .13 .14 .0000000 .0000000 .0000002 .0000009 .0000050 .0000248 .14 .15 .0000000 .0000001 .0000004 .0000024 .0000122 .0000551 .15 .16 .0000000 .0000002 .0000011 .0000058 .0000273 .0001146 .16 .17 .0000001 .0000005 .0000027 .0000131 .0000573 .0002238 .17 .18 .0000003 .0000012 .0000061 .0000278 .0001136 .0004140 .18 .19 .0000005 .0000028 .0000131 .0000560 .0002137 .0007288 .19 .20 .0000012 .0000059 .0000268 .0001072 .0003834 .0012271 .20 .21 .0000026 .0000124 .0000521 .0001958 .0006591 .0019835 .21 .22 .0000056 .0000244 .0000968 .0003434 .0010891 .0030892 .22 .23 .0000110 . 0000.463 .0001731 .0005795 .0017357 .0046488 *23 .24 .0000213 .0000842 .0002982 .0009442 .0026752 .0067771 .24 .25 .0000395 .0001480 .0004964 .0014890 .0039969 .0095926 .25 .26 .0000707 .0002516 .0008003 .0022780 .0058009 .0132082 .26 .27 .0001226 .0004146 .0012528 .0033870 .0081935 .0177224 .27 .28 .0002064 .0006635 .0019069 .0049033 .0112815 .0232075 .28 .29 .0003376 .0010333 .0028273 .0069222 .0151633 .0296992 .29 • 30 .0005377 .0015681 .0040895 .0095423 .0199214 .0371868 .30 .31 .0008348 .0023226 .0057779 .0128605 .0256116 .0456054 .31 .32 .0012654 .0033614 .0079831 .0169642 .0322543 .0548323 .32 .33 .0018751 .0047586 .0107980 .0219234 .0398256 .0646865 .33 .34 .0027186 .0065966 .0143117 .0277815 .0482520 .0749326 .34 .35 .0038607 .0089625 .'0186026 .0345478 .0574065 .0852896 .35 .36 .0053748 .0119438 .0237317 .0421896 .0671085 .0954433 .36 .37 .0073409 .0156243 .0297333 .0506270 .0771288 .1050619 •37 .38 .0098436 .0200759 .'0366089 .0597303 .0871963 .1138141 .38 .39 .0129673 .0253527 .0443193 .0693200 .0970105 .1213876 .39 .40 .0167910 .0314831 .0527806 .0791709 .1062557 .1275067 .40 .41 .0213828 .0384631 .0618610 ;0890194 .1146168 .1319492 .41 .42 .0267925 .0462491 .0713816 .0985746 .1217976 .1345575 .42 .*3 .0330446 .0547541 .0811200 .1075312 .1275369 .1352485 .43 .44 .0401313 .0638451 .0908171 .1155854 .1316236 .1340168 .44 .45 .0480064 .0733431 .1001876 .1224516 .1339089 .1309333 .45 .46 .0565811 .0830266 .1089327 .1278774 .1343152 .1261395 . 46 .47 .0657210 .0926385 .1167547 .1316595 .1328390 .1198378 *47 .48 .0752460 .1018956 .1233736 .1336547 .1295515 .1122778 .48 .49 .0849343 .1105011 .1285421 .1337888 .1245917 .1037416 .49 .50 .0945276 .1181595 .1320606 .1320606 .1181595 .0945276 .50 102 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=35 r=14 n=35 r =13 n-35 r=i2 n*35 r«l 1 n-=35 r=lG n=35 r* 9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .03 .04 .0000000 .0000000 .0000000 .0000001 .0000007 .0000064 .04 .05 .0000000 .0000000 .0000001 .0000006 .0000049 .0000364 .05 .06 .0000000 .0000001 .0000004 .0000034 .0000237 .0001424 .06 .07 .0000000 .0000003 .0000022 .0000145 .0000845 .0004318 .07 .08 .0000002 .0000013 .0000084 .0000485 .0002451 .0010843 .08 .09 .0000007 .0000048 .0000269 .0001361 .0006058 .0023556 .09 .10 .0000025 .0000145 .0000740 .0003328 ■.0013179 .0045620 .10 .11 .0000076 .0000392 .0001795 .0007262 .0025853 .0080450 .11 .12 .0000203 .0000949 .0003932 .0014420 .0046527 .0131229 .12 .13 .0000490 .0002089 .0007900 .0026437 .0077847 .0200374 .13 .14 .0001085 .0004245 .0014737 .0045263 .0122339 .0289043 .14 .13 .0002231 .0008046 .0025771* .0073018 .0182058 .0396793 .15 .15 .0004295 .0014351 .0042586 .0111788 .0258229 .0521425 .16 .17 .0007806 .0024251 .0066925 .0163374 .0350966 .0659055 .17 .18 .0013471 .0039051 .0100551 .0229035 .0459087 .0804384 .18 .19 .0022193 .0060208 .0145078 .0309244 .0580076 .0951138 .19 .20 .0035058 .0089239 .0201758 .0403516 .0710189 .1092597 .20 .21 .0053299 .0127595 .0271303 .0510310 .0844684 .1222161 .21 .22 .0078232 .0176507 .0353711 .0627034 .0978174 .1333872 .22 .23 .0111167 .0236834 .0448148 .0750162 .1105021 .1422852 *23 .24 .0153294 .0308909 .0552903 .0875429 .1219765 .1485611 .24 .25 .0205554 .0392423 .0665411 .0998118 .1317515 .1520210 .25 .26 .0268518 .0486336 .0782368 .1113370 .1394281 .1526284 ,26 .27 .0342258 .0588867 .0899896 .1216526 .1447215 .1504939 .27 .28 .0426261 .0697517 .IOI3783 .1303436 .1474744 .1458538 .28 .29 .0519371 .0809177 .1119745 .1370723 .1476599 .1390432 .29 • 30 .0619778 .0920278 .1213700 .1415983 .1453742 .1304641 • 30 .31 .0725062 .1026993 .1292024 .1437898 .1408213 .1205541 ,31 .32 .0832275 .1125464 .1351780 .1436266 .1342909 .1097570 .32 .33 .0938094 .1212028 .1390878 .1411951 .1261344 .0984965 • 33 .34 .IO38982 .12834*18 .1408182 .1366765 .1167378 .0871571 .34 .35 .1131393 .1337101 .1403541 .1303287 .1064973 .0760694 .35 .36 .1211978 .1371127 .1377751 .1224668 .0957962 .0655016 .36 .37 .1277780 .1384523 .1332462 .1134392 .0849875 .0556571 •n .38 .1326405 .1377177 .1270028 .1036075 .0743793 .0466753 .38 .39 .1356162 .1349839 .1193336 .0933250 .0642267 .0386374 .39 .40 .1366145 .1304046 .1105605 .0829204 .054727.4 .0315735 .40 .41 .1356271 .1241996 .1010192 .0726845 .0460217 .0254717 .41 .42 .1327267 .1166386 .0910409 .0628616 .0381959 .0202872 .42 .1280592 .1080245 .0809365 .0536440 .0312881 .0159519 .^3 .44 .1218334 .0986750 .0709836 .0451714 .0252960 .0123826 .44 .45 .1143068 .0889053 .0614176 .0375330 .0201845 .0094884 .45 .46 .1057691 .0790134 .0524266 .0307721 .0158945 .0071764 . 46 .47 .0965259 .0692671 .0441489 .0248925 .0123510 .0053567 .47 .48 .08688I6 .0598957 .0366752 .0198658 .0094693 .0039456 .48 .49 .0771258 .0510832 .0300517 .0156391 .0071621 .0028670 .49 .50 .0675197 .0429671 .0242857 .0121429 .005^428 .0020550 .50 832939 0 - 50 -8 103 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r q p | n-35 r- 8 n =35 7 n =35 r- 6 n=35 r* 5 n=35 r=4 n=35 r=8 P .01 .0000000 .0000001 .0000012 .0000240 .0003834 .0047450 .01 .02 .0000004 .0000049 .0000578 .0005666 .0044785 .0274305 .02 .03 .0000068 .0000626 .0004892 .0031634 .0164971 .0666759 .03 .04 .0000512 .0003513 .0020351 .0097685 .0378136 .1134407 .04 .05 .0002301 .0012495 .0057301 .0217746 .0667285 .1584802 .05 .06 .0007437 .0033288 .0125886 .0394442 .0996709 .1951887 .06 .07 .0019123 .0072588 .0232786 .0618543 .1325449 .2201193 • 07 .08 .0041564 .0136569 .0379095 .0871919 .1617269 .2324824 .08 .09 .0079394 .0229360 .0559779 .1131998 .1846090 .2333253 .09 .10 .0136860 .0351927 .0764529 .1376152 .1997641 .2247346 .10 .11 .0216970 .0501569 .0979552 .1585094 .2068524 .2092030 .11 .12 .0320783 .0672117 .1189724 .1744929 .2063894 .1891903 .12 .13 .0446988 .0854680 .1380638 .1847931 .1994664 .1668614 .13 .14 .0591850 .IO38758 .1540226 .1892279 .1874838 .1439608 .14 .15 .0749498 .1213473 .1659807 .1881116 .1719298 .1217837 .15 .16 .0912494 .1368741 .1734525 .1821251 .1542188 .1012061 .16 .17 .1072579 .1496202 ,1763273 .1721784 .1355864 .0827476 .17 .18 .1221472 .1589852 .1748228 .1592830 .1170359 .0666454 .18 .19 •1351617 .1646331 .1694137 .1444474 .0993230 .0529287 .19 .20 .1456797 .1664910 .1607500 .1286000 .0829677 .0414839 .20 .21 .1532552 .1647233 .1495763 .,1125383 .0682836 .0321096 .21 .22 .1576395 .1596868 .1366598 .0969043 .0554144 .0245587 .22 .23 .1587822 .1518785 .1227325 .0821773 .0443735 .0185693 *23 .24 .1568145 .1418798 .1084484 .0686839 .0350806 .OI3886O .24 .25 .1520209 .1303037 .0943579 .0566147 .0273942 .0102728 .25 .26 .1448014 .1177505 .0808949 .0460479 .0211386 .0075205 ,26 .27 .1356303 .1047726 .0683765 .0369739 .0161237 .0054492 .27 .28 .1250175 .0918497 .0570101 .0293195 .0121601 .0039086 .28 .29 .1134720 .0793745 .0469074 .0229685 .0090698 .0027757 .29 .30 .1014721 .0676480 .O38IOO6 .0177803 .0066915 .0019517 .30 .51 .0894434 .0568811 .0305601 .0136042 .0048839 .0013589 ,31 .52 .0777445 .0472021 .0242113 .0102899 .0035267 .0009368 .32 .55 .0666593 .0386681 .0189503 .0076949 .0025198 .0006395 .33 .54 .0563959 .0312783 .0146558 .0056899 .0017815 .0004322 .34 .55 .0470906 .0249869 .0112010 .0041604 .0012461 .0002893 .35 .56 .0388158 .0197160 .0084605 .0030082 .0008625 .0001917 .36 .57 .0315891 .0153677 .0063161 .0021509 .0005907 .0001257 • 37 .58 .0253848 .OH8335 .0046604 .0015208 .0004002 .0000816 .38 .59 .0201443 .0090022 .0033987 .0010632 .0002682 .0000524 .39 .40 .0157868 .0067657 .0024497 .0007349 .0001778 .0000333 .40 .41 .0122181 .0050235 .00174*19 .0005022 .0001165 .0000210 .41 .42 .0093385 .0036846 .0012282 .0003392 .0000756 .0000130 .42 .43 .0070486 .0026695 .0008542 .0002264 .0000484 .0000081 .43 .44 .0052532 .0019103 .0005869 .0001493 .0000307 .0000049 .44 .45 .0038656 .0013499 .OOO3983 .0000973 .0000192 .0000029 .45 .46 .0028082 .0009418 .0002669 .0000627 .0000119 .0000017 .46 .47 .0020136 .0006487 .0001766 .OOOO398 .0000073 .0000010 .47 .48 .0014248 .0004410 .0001153 .0000250 .0000043 .0000006 .48 .49 .0009947 .0002958 .0000744 .0000154 ,0000026 .0000004 .49 .50 .0006850 .0001957 -1 .0000472 - . .0000095 .0000015 .0000002 .50 104 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n=35 r-2 n=35 r* 1 11=35 r=0 11=36 r=33 n=36 r=3 2 n=36 r =3 1 p .01 .0427050 .2486936 .7034477 .0090000 .0000000 .0000000 .01 .02 .1221905 .3521962 .4930746 .0000000 .0000000 .0000000 .02 .05 .1959868 .3727591 .3443584 .0000000 .0000000 .0000000 .03 .04 .2475071 .3494218 .2396035 .0000000 .0000000 .0000000 .04 .05 .2737385 .3059431 .1660834 .0000000 .0000000 .0000000 .05 .06 .2779960 .2561925 .1146766 .0000000 .0000000 .0000000 .06 .07 .2658584 .2077717 .0788684 .0000000 .0000000 .0000000 .07 .08 .2430498 .1644160 .0540224 .0000000 .0000000 .0000000 .08 .09 1 .2144707 .1275609 .0368510 .0000000 .0000000 .0000000 .09 .10 1 .1838738 .0973449 .0250316 .0000000 .0000000 .0000000 .10 .11 .1538766 .0732354 .0169297 .0000000 .0000000 .0000000 .11 .12 .1261269 .0544077 .0113997 .0000000 .0000000 .0000000 .12 .13 .1015171 .0399637 .0076414 .0000000 .0000000 .0000000 .13 .14 .0803936 .0290499 .0050985 .0000000 .0000000 .0000000 .14 .15 .0627370 .0209124 .OO33858 .0000000 .0000000 .0000000 .15 .16 .0483030 .0149170 .0022376 .0000000 .0000000 .0000000 .16 .17 .0367275 .0105481 .0014714 .0000000 .0000000 .0000000 .17 .18 .0276007 .0073962 .0009627 .0000000 .0000000 .0000000 .18 .19 .0205130 .0051441 .0006266 .0000000 .0000000 .0000000 .19 .20 .0150850 .0035495 .0004056 .0000000 .0000000 .0000000 .20 .21 .0109812 .0024300 .0002612 .0000000 .0000000 .0000000 .21 .22 .0079156 .0016509 .0001672 .0000000 .0000000 .0000000 .22 .23 .0056516 .0011129 .0001065 .0000000 .0000000 .0000000 *23 .24 .0039975 .0007446 .0000674 .0000000 .0000000 .0000000 .24 .25 .0028017 .0004944 .0000424 .0000000 .0000000 .0000000 .25 .26 .0019458 .0003258 .0000265 .0000000 .0000000 .0000000 ^26 .27 .0013393 .0002130 .0000165 .0000000 .0000000 .0000000 .27 .28 .0009137 .0001382 .0000102 .0000000 .0000000 .0000000 .28 .29 .0006178 .0000890 .0000062 .0000000 .0000000 .0000000 .29 .30 .0004140 .0000568 .0000038 .0000000 .0000000 .0000000 .30 .31 .0002749 .0000360 .0000023 .0000000 .0000000 .0000000 .31 .32 .0001810 .0000226 .0000014 .0000000 .0000000 . 0000000 .32 .33 .0001181 .0000141 .0000008 .0000000 .0000000 .0000000 .33 .34 .0000763 .0000087 .0000005 .0000000 .0000000 .0000000 .34 .35 .0000489 .0000053 .0000003 .0000000 .0000000 .0000000 .35 .36 .0000310 .0000032 .0000002 .0000000 .0000000 .0000000 .36 .37 .0000195 .0000019 .0000001 .0000000 .0000000 .0000000 .37 .38 .0000121 .0000011 .0000001 .0000000 .0000000 .0000000 .38 .39 .0000075 .0000007 .0000000 .0000000 .0000000 .0000000 .39 .40 .0000046 .0000004 .0000000 .0000000 .0000000 .0000000 .40 .41 .0000028 .0000002 .0000000 .0000000 .0000000 .0000000 .41 .42 .0000017 .0000001 .0000000 .0000000 .0000000 .0000001 .42 • ^3 .0000009 .0000001 .0000000 .0000000 .0000000 .0000001 .43 .44 .0000006 .0000000 .0000000 .0000000 .0000000 .0000002 .44 • ^5 .0000004 .0000000 .0000000 .0000000 .0000000 .0000004 .45 .46 .0000002 .OOOOQOO .0000000 .0000000 .0000001 .0000006 .46 .47 .0000001 .0000000 .0000000 .0000000 .0000002 .0000010 .47 .48 .0000001 .0000000 .0000000 .0000000 .0000003 .0000019 .48 .49 .0000000 .0000000 .0000000 .0000001 .0000004 .0000033 .49 .50 .0000000 .0000000 .0000000 .0000001 .0000009 .0000055 .50 105 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n =36 r =3 0 n =36 r -29 11=36 r= 28 . n-36 r *27 n-36 v -215 n =36 r =25 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 ,0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .00000QQ .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000060 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 ' .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 *23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 ,26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .29 • 50 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .30 .51 .0000000 .0000000 .0000000 '.0000001 .0000003 .0000020 -31 .52 .0000000 .0000000 .0000000 .0000001 .0000008 .0000037 .32 .55 .0000000 .0000000 .0000000 .0000003 .0000014 .0000067 .33 .54 .0000000 .0000000 .0000001 .0000005 .0000026 .0000121 .34 .55 .0000000 .0000000 .0000002 .0000009 .0000048 .0000210 .35 • 56 .0000000 .0000001 .0000003 .0000018 .0000085 .0000358 .36 .57 .0000000 .0000001 .0000006 .0000033 .0000148 .0000598 •37 .58 .0000000 .0000002 .0000012 .0000057 .0000253 .0000977 .38 .59 .0000001 .0000003 .0000021 .0000100 .0000423 .0001563 :?9 .40 .0000001 .0000007 .0000037 .0000170 .0000693 .0002454 :4o .41 .0000002 .0000013 .0000063 .0000287 .0001111 .0003782 .41 .42 .0000003 .0000022 .0000110 .0000470 .0001753 .0005724 ,42 •ft .0000007 .0000038 .0000184 .0000759 .0002717 .0008513 .43 .44 .0000012 .0000066 .0000304 .0001204 .0004139 .0012448 .44 .45 .0000021 .0000112 .0000494 .0001878 .0006199 .0017907 .45 .46 .0000037 .0000185 .0000790 .0002882 .0009157 .0025352 .46 .47 .0000063 .0000304 .0001241 .0004354 .0013258 .0035335 .47 .48 .0000105 .0000490 .0001921 .0006477 .0018943 .0048507 .48 .49 .0000174 .0000777 .0002930 .0009489 .0026666 .0065600 .49 .50 .0000283 .0001215 .0004403 .0013700 .0036989 .0087429 .50 106 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=»36 v- 24 11=36 r=:23 n=36 r= 22 n=36 r =.21 n-36 r? 20 n=36 r-19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 . oooo'ooo .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0O00000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000002 ,0000008 .17 .18 .0000000 .0000000 .0000000 .0000001 .0000004 .0000021 .18 .19 .0000000 .0000000 .0000000 .0000002 .0000009 .0000048 .19 .20 .0000000 .0000000 .0000001 .0000004 .0000021 .0000102 .20 .21 .0000000 .0000000 .0000002 .0000010 .0000046 .0000207 .21 .22 .0000000 .0000001 .0000004 .0000021 .0000096 .0000404 .22 .23 .0000000 .0000002 .0000009 .0000043 .0000192 .0000754 *23 .24 .0000001 .0000003 .0000019 .0000088 .0000364 .0001356 .24 .25 ..0000002 .0000007 .0000039 .0000169 .0000666 .0002351 .25 .26 .0000003 .0000016 .0000075 .0000316 .0001177 .0003943 ,26 .27 .0000007 .0000032 .0000143 .0.000568 .0002015 .0006409 .27 .28 .0000013 .0000062 .0000263 .0000991 .0003344 .0010116 .28 .29 .0000026 .0000116 .0000467 .0001679 .0005394 .0015535 .29 .30 .0000049 .0000211 .0000808 .0002765 .0008468 .0023246 .30 • 51 .0000090 .0000372 .0001359 .0004436 .0012960 .0033938 .31 .52 .0000162 .0000638 .0002228 •0006941 .0019362 .0048403 .32 .55 .0000285 .0001068 .0003562 .0010608 .0028266 .0067516 .33 .54 .0000487 .0001745 .0005565 .0015846 .0040371 .0092198 .34 .55 .0000813 .0002788 .0008504 .0023165 .0056463 .0123365 .35 .56 .0001327 .0004356 .0012721 .0033170 .0077397 .0161874 .36 .57 .0002120 .0006566 .0018645 .0046562 .0104058 .0208446 .37 .58 .0003319 .0009997 .0026796 .0064125 .0137319 .0263584 .38 .59 .0005093 .0014707 .0037792 .0086696 .0177975 .0327497 .39 .40 .0007669 .0021238 .0052335 .0115139 .0226678 .0400022 .40 .41 .0011338 .0030121 .0071209 .0150291 .0283857 .0480562 .41 .42 .0016467 .0041981 .0095244 .0192907 .0349642 .0568048 .42 • ^5 .0023509 .0057532 .0125289 .0243586 .0423797 .0660914 .43 .44 .0033008 .0077556 .0162163 .0302704 .0505653 .0757128 .44 .^5 .0045598 .0102888 .0206592 .0370335 .0594079 .0854231 .45 .46 .0062002 .0134372 .0259147 .0446182 .0687460 .0949434 .46 .47 .0083014 .0172822 .0320166 .0529523 .0783722 .1039731 .47 .48 .0109476 .0218954 .0389686 .0619167 .0880378 .1122050 .48 .49 .0142246 .0273327 .0467366 .0713447 .0974620 .1193412 .49 .50 .0182143 .0336264 .0552434 .0810236 .1063436 .1251100 .50 107 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n=3o r=l8 n=36 r =17 n=36 r- 16 n*36 r-15 n=36 r=l4 n=36 r= 15 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000003 .0000019 .08 .09 .0000000 .0000000 .0000000 .0000002 .0000011 .0000067 .09 .10 .0000000 .0000000 .0000001 .0000006 .0000037 .0000205 .10 .11 .0000000 .0000001 .0000003 .0000020 .0000111 .0000547 .11 .12 .0000000 .0000002 .0000010 .0000059 .0000293 .0001307 .12 .13 .0000001 .0000005 .0000030 .0000153 .0000698 .0002845 .13 .14 .0000003 .0000015 .0000078 .0000365 .0001.528 .0005713 .14 .15 .0000008 .0000038 .0000186 .0000804 .0003103 .0010705 .15 .16 .0000019 .0000092 .0000412 .0001650 .0005904 .0018869 .16 .17 .0000045 .0000206 .0000856 .0003185 .0010602 .0031505 .17 .18 .0000100 .0000433 .0001676 .0005820 .0018075 .0050121 .18 .19 .0000213 .0000859 .0003116 .0010120 .0029416 .0076333 .19 .20 •0000429 .0001624 .0005521 .0016828 .0045895 .0111743 .20 .21 .0000823 .0002931 .0009372 .0026863 .0068901 .0157773 .21 .22 .0001511 .0005074 .0015291 .0041307 .0099852 .0215492 .22 .23 .0002666 .0008454 .0024057 .0061364 .0140071 .0285436 *23 .24 .0004532 .0013596 .0036597 .0088297 .0190641 .0367468 .24 .23 .0007*146 .0021160 .0053958 .0123332 .0252272 .0460669 .25 .26 .0011845 .0031939 .0077268 .0167555 .0325151 .05633.05 .26 .27 .0018289 .0046848 .0107664 .0221783 .0408842 .0672845 .27 .28 .0027459 .0066892 .0146208 .0286447 .0502212 .0786072 .28 .29 .0040148 .0093121 .0193788 .0361482 .0603415 .0899241 .29 .30 .0057253 .0126560 .0251010 .0446241 .0709929 .1008304 .30 • 51 .0079735 .0168133 .0318097 .0539446 .0818661 .1109153 .31 .52 .0108571 .0218570 .0394792 .0639188 .0926096 .1197885 .32 .0144694 .0278311 .0480297 .0742971 .1028492 .1271048 .33 .34 .0188914 .0347415 .0573234 .0847809 .1122100 .1325858 .34 .35 .0241834 .0425484 .0671656 .0950370 .1203390 .1360355 • 35 .3 6 .0303765 .0511604 .0773091 .1047149 .1269272 .1373512 .36 .37 .0374640 .0604327 .0874640 .1134669 .1317275 .1365260 • 37 .38 .0453950 .0701674 .0973110 .1209682 .1345698 .1336460 .38 • 39 .0540696 .0801193 .1065176 .1269367 .1353696 .1288803 *? 9 .40 .0633367 .0900048 .1147561 .1311498 .1341305 .1224670 .40 .41 •0729959 .0995144 .1217231 .1334571 .1309418 .1146957 .41 .42 .0828026 .1083283 .1271568 .1337885 .1259597 .1058876 .42 .43 .0924768 .1161336 .1308529 .1321571 .1194443 .0963767 .43 .44 .1017152 .1226422 .1326765 .1286561 .1116437 .0864908 .44 .45 .1102064 .1276074 .1325699 .1234513 .1028762 .0765358 .45 .46 .1176473 .1368388 .1305544 .1167691 .0934615 .0667834 .46 .47 .1237600 .1322139 .1267284 .1088812 .0837142 .0574616 .47 .48 .1283085 .1316851 .1212600 .1000877 .0739283 .0487*199 .48 .49 .1311130 .1292822 .1143752 .0906998 .0643650 .0407777 .49 .50 .1320606 .1251100 .1063436 .0810236 .0552434 .0336264 .50 108 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=36 r-12 n=36 r=ll n=36 r=lo n=36 r= 9 n=36 r= 8 n-36 r» 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000005 .0000059 .02 .03 .0000000 .0000000 .0000001 .0000008 .0000085 .0000754 .03 .04 .0000000 .0000001 .0000009 .0000082 .0000633 .0004186 .04 .05 .0000001 .0000008 .0000066 .0000460 .0002811 .0014735 .05 .06 .0000006 .0000046 .0000308 .0001785 .0008988 .0038845 .06 .07 .0000030 .0000194 .0001088 .0005354 .0022866 .0083802 • 07 .08 .0000116 .0000642 .0003123 .0013300 .0049165 •0155970 .08 .09 .0000367 .0001785 .0007632 .0028582 .0092891 .0259097 .09 .10 .0000999 .0004313 .0016423 .0054744 .OI58367 .0393186 .10 .11 .0002396 .0009307 .0031858 .0095467 .0248277 .0554146 .11 .12 .0005191 .0018272 .0056691 .0153976 .0362943 .0734230 .12 .13 .0010310 .0033120 .0093775 .0232434 .0499988 .0923055 .13 .14 .0019010 .0056054 .0145678 .0331436 .0654417 .1108963 .14 .15 .0032858 .0089374 .0214268 .0449699 .0819094 .1280423 .15 .16 .0053658 .0135219 .0300340 .0583996 .0985494 .1427266 .16 .17 .0083321 .0195265 .0403342 .0729353 .1144595 .1541604 .17 .18 .0123679 .0270444 .0521241 .0879459 .1287780 .1618360 .18 .19 .0176269 .0360702 .0650579 .1027229 .1407612 .1655414 .19 .20 .0242109 .0464851 .0786570 .1165437 .1498420 .1653428 .20 .21 .0321495 .0580529 .0923954 .1287343 .1556635 .1615424 .21 .22 .0413843 .0704284 .1056428 .1387227 .1580899 .1546209 .22 .23 .0517611 .0831780 .1178122 .1460795 .1571943 .1451750 *23 .24 .0630309 .0958070 .1283568 .1505419 .1532302 .1338562 .24 .25 .0748589 .1077967 .1368188 .1520210 .1465917 .1213172 .25 .26 .0868428 .1186407 .1428602 .150593^ .1377681 .1081681 ,26 .27 .0985386 .1278812 .1462800 .1464808 .1272987 .0949456 .27 .28 .1094886 .1351402 .1470206 .1400197 .1157305 .0820946 .28 .29 .H92529 .1401427 .1451611 .1316275 .1035837 .0699591 .29 .30 .1274385 .1427311 .1409012 .1217664 .0913249 .0587838 .30 .31 .1337245 .1428695 .1345385 .1109098 .0793491 .0487215 .31 .32 .1378815 .1406392 .1264401 .0995129 .0679710 .0398450 .32 .33 .1397833 .1362251 .1170139 .0879902 .0574222 .0321612 • 33 .34 .1394100 .1298973 .10668o4 .0 766983 .0478559 .0256267 .34 .35 .1368452 .1219878 .0958475 .0659268 .03935^3 .0201618 • 35 • 36 .1322640 .1128654 .0848902 .0558947 .0319399 .0156640 .36 .37 .1259176 .1029121 .0741352 .0467520 .0255872 .0120186 • 37 .38 .1181126 .0925009 .0638517 .0385849 .0202353 .0091078 .38 .39 .1091902 .0819767 .0542469 .0314251 .0157988 .0068169 .39 .40 .0995044 .0716432 .0454659 .0252588 .0121784 .0050393 .40 .41 .0894019 .0617528 .0375962 .0200377 .0092683 .0036793 .41 .42 .0792056 .0525019 .0306743 .0156888 .0069638 .0026530 ,42 -*3 .0692007 .0440310 .0246935 .0121235 .0051656 .0018889 .43 .44 .0596262 .0364262 .0196141 .0092457 .0037824 .0013279 .44 .45 .0506696 .0297261 .0153713 .0069581 .0027336 .0009216 .45 .46 .0424655 .0239285 .0118841 .0051671 .0019496 .0006314 .46 .47 .0350984 .0189980 .0090636 .0037855 .0013721 .0004268 .47 .48 .0286067 .0148755 .0068179 .0027356 .0009526 .0002846 .48 .49 .0229895 .0114854 .0050575 .0019496 .0006523 .0001873 .49 .50 .0182143 .0087429 .0036989 .0013700 .0004403 .0001215 • 50 109 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n=36 r= 6 n=36 r= 5 n-36 r= 4 n=36 r= 3 11=36 r= 2 n=36 r= 1 p .01 .0000014 .0000276 .0004271 .0051246 .0447648 .2532412 .01 .02 .0000680 .0006449 .0049375 .0293257 .1267906 .3550138 .02 .03 .0005694 .0035634 .0180025 .0705552 .2012900 .3719070 .03 .04 .0023^44 .0108904 .0408386 .1188034 .2515837 .3450290 .04 .05 .0065323 .0240223 .0713161 .1642431 .2753488 .2989501 .05 .06 .0141999 .0430578 .1054019 .2001571 .2766879 .2477015 .06 .07 .0259789 .0668026 .1386752 .2233210 .2617923 .1987485 .07 .08 .0418521 .0931547 .1673874 .2333278 .2367590 .1555846 .08 .09 .0611279 .1196266 .1889935 .2316283 .2066488 .1193971 .09 .10 .0825692 .1438301 .2022612 .2206485 .1752209 .0901136 .10 .11 .1046162 .I63827I .2071110 .2031171 .1450061 .0670417 .11 .12 .1256349 .1783204 .2043256 .1816227 .1175205 .0492468 .12 .13 .1441386 .1867006 .1952278 .1583666 .0935151 .0357619 .13 .14 .1589514 .1889837 .1813906 .1350614 .0732055 .0256967 .14 .15 .1693004 .1856842 .1644080 .1129267 .0564633 .0182834 .15 .15 . .1748401 .1776501 .1457368 .0927416 .0429612 .0128883 .16 .17 ! .1756220 .1659578 .1266038 .0749242 .0322770 .0090050 .17 .18 .1720256 .1516786 .1079656 .0596173 .0239639 .OO62382 .18 .19 .1646701 .1358738 .0905080 .0467697 .0175930 .0042858 .19 .20 .1543200 .1.194735 .0746710 .0362041 .0127779 .0029207 .20 .21 .1417983 .1032449 .0606871 .0276726 .0091854 .0019746 .21 .22 .1279136 .0877765 .0486261 .0208973 .0065373 .0013245 .22 .23 .1134048 .0734824 .0384386 .0155982 .0046077 .0008814 i 23 .24 .0989049 .0606192 .0299931 .0115128 .0032168 .0005821 .24 .23 .0849221 .0493095 .0231139 .0084050 .0022249 .0003814 .25 ,26 .0718347 .0395714 .0175979 .0060711 .0015246 .0002480 ,26 .27 .0598978 .0313444 .0132416 .0043395 .0010352 .0001600 .27 .28 .0492567 .0245149 .0098497 .0030701 .0006965 .0001024 .28 .29 .0399651 .0189378 .0072446 .0021499 .0004644 .0000650 .29 • 30 .0320045 .0144536 .0052696 .0014904 .0003068 .0000409 .30 .31 .0253038 .0109009 .0037912 .0010228 .0002009 .0000255 -31 .32 .0197565 .0081256 .0026980 .0006949 .0001303 .0000159 .32 .33 .0152360 .0059871 .0018994 .0004674 .OOOO837 .0000098 • 33 • 34 .0116074 .0043610 .0013227 .0003113 .0000533* .0000059 .34 .35 .0087368 .0031404 .0009113 .0002051 .0000336 .0000036 • 35 .36 .0064976 .0022358 .0006210 .0001339 .0000210 .0000021 .36 .37 .0047749 .0015736 .0004187 .0000864 ,0000130 .0000012 • 37 .38 .0034673 .0010949 .0002792 .0000552 .0000079 .0000008 .38 .39 .0024878 .0007532 .0001840 .0000349 .0000049 .0000004 .39 .40 .0017638 .0005120 .0001200 .0000219 .0000028 .0000003 .40 .41 .0012^54 .0003441 .0000773 .0000135 .0000018 .0000001 .41 .42 .0008548 .0002285 .0000493 .0000082 .0000010 .0000001 ,42 *?? .0005842 .0001499 . 00.00311 .0000050 .0000006 .0000000 .43 .44 .000394^ .0000971 .0000194 .0000029 .0000004 .0000000 .44 • 45 .0002629 .0000622 .0000118 .0000018 .0000002 .0000000 .45 .46 .0001730 .0000393 .0000072 .0000010 .0000001 .0000000 .46 .47 .0001123 .0000245 .0000043 .0000006 .0000001 .0000000 .47 .48 .00.00720 .0000151 .0000025 .0000004 .0000000 .0000000 .48 .49 .0000454 .0000092 .0000015 .0000002 .0000000 .0000000 .49 .50 .0000283 .0000055 .0000009 .0000001 .0000000 .0000000 .50 110 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n-3 S - r» 0 n =37 r =34 n =37 r -33 n =37 r-32 n =37 r =31 n =37 r =30 p .01 .6964132 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .4832131 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .3340277 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .2300194 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 •1577792 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .1077960 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0733476 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0497006 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0335344 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0225284 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0150675 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .OIOO317 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0066480 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0043847 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0028779 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0018796 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0012213 .0000000 .0000000 .0006000 .0000000 .0000000 .17 .18 .OOO7894 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0005075 .0000000 .0000000 .0000000 .0000000 .00000 00 .19 .20 .0003245 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0002063 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0001304 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000820 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .0000512 .0006000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000318 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0Q001Q6 .0000600 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000120 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000073 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000044 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000027 .0000000 .0000000 .0000000 .0000000 .0000000 .30 • 31 .0000016 .0000000 .0000000 .0000000 .0000000 .0000000 .31 • 32 .0000009 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000005 .0000000 .0000000 .0000000 .0000000 .0000000 .33 .34 .0000003 .0000000 .0000000 .0000000 .0000000 .0000000 .34 .35 .0000002 .0000000 .0000000 .0000000 .0000000 .0000000 .35 «3 6 .0000001 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000001 .0000000 .0000000 .0000000 .0000000 .0000001 .37 .38 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .38 .39 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .39 .40 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .40 .41 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .41 .42 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .42 .43 .0000000 .0000000 .0000000 .0000001 .0000003 .0000020 .43 .44 .0000000 .0000000 .0000000 .0000001 .0000006 .0000036 .44 -*5 .0000000 .0000000 .0000000 .0000002 .0000011 .0000062 .45 .46 .0000000 .0000000 .0000000 .0000004 .0000020 .0000105 .46 .47 .0000000 .0000000 .0000001 .0000006 .0000035 .0000176 .47 .48 .0000000 .0000000 .0000002 .0000010 .0000060 .0000290 .48 .49 .0000000 .0000000 .0000003 .0000018 .0000102 .0000470 .49 .50 .0000000 .0000001 .0000004 .0000032 .0000169 .0000749 .50 111 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q *- r p n=37 r=29 n=37 r=28 n=37 r=27 n=37 r=26 n=37 r=25 n-37 r-24 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 ,0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .o’oooooo .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .00000O0 .0000000 .0000001 *23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .24 .23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .26 .27 .0000000 .0000000 .0000000 .0000001 .0000002 .0000014 .27 .28 .0000000 .0000000 .0000000 .0000001 .0000006 .0000026 .28 .29 .0000000 .0000000 .0000000 .0000002 .0000012 .0000051 .29 .30 .0000000 .0000000 .0000001 .0000004 .0000022 .0000097 .30 .31 .0000000 .0000000 .0000002 .0000008 .0000042 .0000178 .31 .32 .0000000 .0000001 .0000003 .0000017 .0000077 .0000314 .32 .33 .0000000 .0000001 .0000007 .0000031 .0000139 .0000544 .33 .34 .0000000 .0000003 .0000012 .0000058 .0000245 .0000915 .34 .35 .0000001 .0000004 .0000023 .0000105 .0000421 .0001504 .35 • 36 .0000002 .0000008 .0000042 .0000184 .0000707 .0002417 .36 .37 .0000002 .0000016 .0000076 .0000314 .0001161 .0003802 .37 .38 .0000006 .0000028 .0000132 .0000528 .0001867 .0005856 .38 .39 .0000010 .0000052 .0000226 .0000867 .0002940 .0008843 .39 .40 ,0000019 .0000090 .0000379 .0001397 .0004540 .0013097 .40 .41 .0000034 .0000155 .0000624 .0002207 .0006880 .0019039 .41 .42 .0000059 .0000261 .0001009 .0003421 .0010236 .0027183 .42 • *3 .0000101 .0000432 .0001601 .0005209 .0014961 .0038139 .43 .44 .0000171 .0000700 ..0002495 .0007795 .0021494 .0052609 .44 .45 .0000284 .0001117 .0003822 .0011468 .0030368 .0071379 .45 .46 .0000463 .0001753 .000575.9 .0016596 .0042211 .0095292 .46 .47 .0000744 .0002705 .'0008538 .0023634 .0057745 .0125223 .47 .48 .0001177 .0004108 .0012460 .0033134 .0077773 .0162025 .48 .49 .0001832 .0006144 .0017905 .0045744 .0103157 .0206476 .49 .50 .0002809 .0009052 .0025344 .0062209 .0134786 .0259204 .50 113 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p | n=37 r=23 n=37 r=22 n=37 r=21 n*37 r=20 n=37 r=19 n=37 r =18 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000600 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .OOOO0OO .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 ..0000000 .0000000 .0000000 .0006000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 . 60066.00 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0006000 .08 .09 | .0000000 .0000000 .0000000 .0000000 .00000.00 .0000000 .09 .10 | .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 • 1 3 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .13 .i4 .0000000 .0000000 .0000000 .0000000' .0000001 .0000004 .14 .15 ' .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .15 .16 .0000000 .0000000 .0000000 .0000001 .0000006 .0000030 .16 .17 .0000000 .0000000 .0000001 .0000002 .0060015 .0000072 .17 .18 .0000000 .0000000 .0000001 .0000007 .0000036 .0000160 .18 .19 - .0000000 .0000001 .0000003 .0000016 .0006079 .0000336 .19 .20 1 .0000000 .0000002 .0000007 .0000038 .0006167 .0000667 .20 .21 1 .0000001 .0000003 .0000017 .0000081 .0000336 .0001265 .21 .22 .0000002 .0000007 .0000038 .0000164 .0000647 ,0002295 .22 *23 .0000003 .0000017 .0000077 .0000321 .0001194 .0003997 .23 .24 .0000007 .0000035 .0000154 .0000602 .000211$ .0006708 .24 .23 .0000015 .0000071 .0000294 .0001087 .0003625 .0010874 .25 .26 .0000031 .0000138 .0000540 .0001896 .0005998 .0017069 ,26 .27 .0000062 .0000258 .0000958 . 0003.201 .0009617 .0026000 .27 .28 .0000119 .0000466 .0001650 .0005240 .0014973 .0038500 .28 .29 .0000219 .0000818 .0002756 .0008335 .0022673 .0055510 .29 • 50 .0000390 .0001395 .0004476 .0012902 .0033448 .0078045 .30 .31 .0000677 .0002313 .0007079 .0019463 .0048135 .0107138 .31 .32 .0001147 .0003736 .0010916 .0028655 .0067656 .0143771 .32 .33 .0001891 .0005887 .0016435 .0041218 .0092985 .0188788 .33 .34 .0003044 .0009061 .0024184 .6057992 .0125681 .0242805 .34 .35 .0004788 . .0013636 .0034819 .0079879 ; 0164829 ,0306112 .35 • 36 .0007368 .0020083 .0049091 .0107809 .0212955 .637-8587 *36 .37 .0011098 .0028975 .0067836 .01:42681 .0269938 .0459624 .37 .38 .0016381 .0040982 .0091938 .0185299 ,0335924 .0548085 .38 .39 .0023710 .0056865 .0122294 .0236289 .0.410644 .0642290 .39 .40 .0033677 .0077457 .0159754 .0296016 .0493359 .0740040 .40 .41 .0046966 .0103633 .0205053 .0364506 .0.582815 .0838685 .41 .42 .0064352 .0136262 .0258736 .0441372 .0677239 .0935234 .42 .43 .0086667 .0176157 .0321077 .0525757 .0774371 .1026493 .43 .44 .0114783 .0224001 .0392002 .0616302 .0871539 .1109231 .44 .45 .0149554 .0280277 .0471019 .0711148 .0965756 .1180368 .45 .46 .0191769 .0345183 .0557170 .0807968 .1653872 .1237153 .46 .47 .0242074 •0418564 .0648996 .0904046 .1132730 .1277333 .47 .48 .0300905 .0499837 .0744548 .0996381 .1199347 .1299293 .48 • .*=- vo .0368405 .0587946 .0841422 .1081828 .1251094 .1302159 .49 .50 .0444349 .0681335 .0936836 .1157268 .1285853 .1285853 .50 US BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p | n-37 r-17 n=37 r-16 n=37 r=15 n=37 r= 14 11^37 r=!3 n=37 r-12 P .01 .0000000 .0000000 .0000000 .onooooo .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .06 .07 .OOOOOOQ .0000000 .0000000 .0000001 .0000006 .0000042 .07 .08 .0000000 .0000000 .0000001 .0000004 .0000026 .0000158 .08 .09 .0000000 .0000000 .0000003 .0000016 .0000094 .0000495 .09 .10 .0000000 .0000002 .0000009 .0000054 .0000284 .0001330 .10 .11 .0000001 .0000005 .0000030 .0000159 .0000750 .0003157 .11 .12 .0000003 .0000016 .0000087 .0000415 .0001773 .0006760 .12 .13 .0000008 .0000046 .0000224 .0000977 .0003815 .0013276 .13 .14 .0000024 .0000118 .0000528 .0002114 .0007574 .0024197 .14 .15 .0000061 .0000279 .0001148 .0004244 .0014028 .0041335 .15 .16 .0000144 .0000610 .0002331 .0007978 .0024435 .0066708 .16 .17 .0000317 .0001252 .0004445 .0014156 .0040314 .0102351 .17 .18 .0000657 .0002*122 .0008025 .0023844 .0063361 .0150097 .18 .19 .0001288 .0004447 .0013786 .0038330 .0095321 .0211312 .19 .20 .0002404 .0007783 .0022641 .0059064 .0137816 .0286658 .20 .21 .0004284 .0013045 .0035691 .0087564 .0192155 .0375892 .21 .22 .0007322 .0021015 .0054186 .0125293 .0259129 .0*177740 .22 .23 .0012043 .0032638 .0079467 .0173504 .0338837 .0589870 .23 .24 .0019116 .0049005 .0112860 .0233079 .0430550 .0708972 .24 .25 .0029359 .0071302 .0155567 .0304371 .0532649 .0830933 .25 .26 .0043725 .0100742 .0208530 .0387071 .0642637 .0951103 .26 .27 .0063269 .0138475 .0272289 .0480123 .0757231 .1064611 .27 .28 .0089100 .0185475 .0346861 .0581694 .0872539 .1166711 .28 .29 .0122315 .0242419 .0431642 .0689205 .0984295 .1253109 .29 • 50 .0163895 .0309580 .0535247 .0799541 .1088129 .1320262 .30 .51 .0214622 .0386715 .0626003 .0908713 .1179862 .1365594 • 31 .52 .0274961 .0472999 .0730999 .1013068 .1255783 .1387640 .32 .55 .0344966 .0566980 .0837192 .1108536 .1312887 .1386091 .33 .5* .0424193 .0666590 .0941068 .1191378 .1349060 .1361757 .34 .55 .0511643 .0769206 .1038927 .1258329 .1363188 .1316451 • 35 .56 .0605739 .0871752 .1127113 .1306798 .1355198 .1252806 .36 .37 .0704343 .0970851 .1202232 .1335030 .1326009 .1174056 •37 .58 .0804820 .1063007 .1261368 .1342188 .1277433 .IO83801 .38 .59 .0904147 .1144810 .1302255 .1328388 .1212012 .0985769 ♦39 .40 .0999053 .1213136 .1323421 .1294651 .1132820 .0883599 .40 .41 .1086200 .1265340 .1324259 .1242808 .1043253 .0780658 .41 .42 .1162362 .1299421 .1305046 .1175353 .0946811 .0679901 .42 .*5 .1224629 .1314137 .1266906 .1095252 .0846910 .0583777 .43 .44 .1270573 .1309076 .1211706 .1005765 .0746703 .0494182 .44 .45 .1298406 .1284665 .1141925 .0910230 .0648960 .0412451 • 45 . 46 .1307080 .1242132 .1060476 .0811895 .0555972 .0339385 .46 .47 .1296357 .1183402 .0970528 .0713754 .0469509 .0275312 .47 .48 .1266810 .1110973 .0875312 .0618427 .0390811 .0220157 .48 .49 .1219778 .1027742 .0777957 .0528073 .0320615 .0173525 .49 .50 .1157268 .0936836 .0681335 .0444349 .0259204 .0134786 • 50 114 BINOMIAL DISTRIBUTION Table 1 - Individual Terms l?)p r q ! n-r p n-37 r = H n=37 r=10 n=37 r= 9 n=37 r- 8 ■# n=37 r= 7 n-37 r =6 P .01 .0000000 .0000000 .0000000 .0000000 .0000001 .0000017 .01 .02 .0000000 .0000000 .0000000 .0000006 .0000072 .0000795 .02 .03 .0000000 .0000001 .0000010 .0000105 .0000903 .0006592 .03 .04 .0000001 .0000012 .0000104 .0000775 .0004957 .0026863 .04 • 05 .0000011 .0000086 .0000577 .0003408 .0017264 .0074069 .05 .06 .0000062 .0000396 .0002217 .0010780 .0045034 .0159313 .06 .07 .0000256 .0001387 .0006580 .0027131 .0096122 .0288364 .07 .08 .0000841 .0003937 .0016169 .0057709 .0176975 .0459563 .08 .09 .0002311 .0009517 .0034370 .0107849 .0290794 .0663928 .09 .10 .0005524 .0020256 .0065106 .0181849 .0436437 .0886952 .10 .11 .0011787 .OO38856 .0112276 .0281922 .0608268 .1111294 .11 .12 .0022883 .0068365 .0179052 .0407498 .0796884 .1319571 .12 .13 .0041005 .0111801 .0267216 .0554986 .0990438 .1496717 .13 .14 .0068601 .0171684 .0376653 .0718054 .1176240 .1631559 .14 .13 .0108108 .0249583 .0505108 .0888293 .1342310 .1717580 .15 .16 .0161638 .0345726 .0648235 .1056177 .1478648 .1752913 .16 .17 .0230638 .0458764 .0799944 .1212087 .1578089 .1739790 .17 .18 .0315587 .0585720 .0952958 .1347284 .1636701 .I683632 .18 .19 .0415778 .0722142 .1099502 .1454695 .1653758 .1591988 .19 .20 .0529215 .0862423 .1232034 .1529422 .1631382 .1473507 .20 .21 .0652648 .1000266 .1343895 .1568980 .1573961 .1337021 .21 .22 .0781756 .1129204 .1429835 .1573267 .1487453 .1190834 .22 .23 .0911438 .1243137 .1486359 .1544299 .1378678 .1042226 *23 .24 .1036189 .1336812 .1511872 .1485804 .1254679 .0897163 .24 .25 .1150523 .1406194 .1506636 .1402731 .1122184 .0760189 .25 .26 .1249377 .1448709 .1472588 .1300721 .0987214 .0634463 .26 .27 .1328489 .1463342 .1413016 .1185654 .0854827 .0521884 .27 .28 .1384667 .1450603 .1332187 .1063125 .0729000 .0423290 .28 .29 .1415980 .1412363 .1234949 .0938325 .0612608 .0338672 .29 .30 .1421821 .1351608 .1126340 .0815625 .0507500 .0267393 .30 .31 .1402869 .1272136 .1011260 .0698546 .0414620 .0208389 -31 .32 .1360954 .1178234 .0894195 .0589707 .0334167 .0160346 .32 .33 .1298854 .1074360 .0779028 .0490861 .0265759 .0121838 • 33 .34 .1220035 .0964865 .0668919 .0402980 .0208601 .0093 436 .34 .35 .1128387 .0853753 .0566264 .0326370 .0161630 .0067781 .35 • 36 .1027943 .0744518 .0472710 .0260805 .0123641 .0049634 • 36 .37 .0922646 .0640034 .0389210 .0205668 .0093385 .0035905 .37 .38 .0816142 .0542504 .0316120 .0160069 .0069643 .0025659 .38 .39 .0711621 .0453464 .0253308 .0122959 .0051285 .0018114 •39 .40 .0611723 .0373830 .0200267 .0093227 .0037291 .0012631 .40 .41 .0518485 .0303973 .0156222 .0069768 .0026773 .0008700 .41 .42 .0433343 .0243804 .0120243 .0051533 .0018977 .0005917 ,42 .^3 .0357159 .0192884 .0091316 .0037566 .0013279 .0003975 .43 .44 .0290289 .0150520 .0068419 .0027024 .0009172 .0002635 .44 .45 .0232664 .0115853 .0050571 .0019182 .0006252 .0001726 .45 .46 .OI83881 .0087943 .0036870 .0013433 .0004205 .0001114 .46 .47 .ci43289 .OO65829 .0026512 .0009278 .0002790 .0000710 .47 .48 .0110079 .0048584 .0018797 .0006320 .0001826 .0000446 .48 .49 .0083357 .0035346 .0013139 .0004245 .0001177 .0000277 .49 .50 .0062209 .0025344 .0009052 .0002809 .0000749 .0000169 .50 115 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n -37 r= 5 n-37 r* 4 n -37 r= 3 n =37 r= 2 n =37 r- 1 n =37 r= 0 p .01 .0000316 .0004740 .0055210 .0468496 .2576729 .6894491 .01 .02 .0007308 .0054252 .0312750 .1313551 •3575777 .4735489 .02 .03 .0039966 .0195791 .0744772 .2064085 .3707707 .3240068 .03 .04 .0120882 .0439573 .1241146 .2553215 .3404286 .2208186 .04 .05 .0263869 .0759625 .1697984 .2765288 .2918915 .1498903 .05 .06 .0467985 .1110872 .2047490 .2749487 .2393071 .1013283 .06 .07 .0718338 .1446003 .2260141 .2573792 .1899704 .0682133 .07 .08 .0990933 .1726626 .2336023 .2302651 .1471138 .0457246 .08 .09 .1258697 .1928305 .2293802 .1987962 .1116694 .0395163 .09 .10 .1496733 .2040998 .2161058 .1667102 .0833550 .0202756 .10 .11 .1685883 .2066717 .1967249 .1364300 .0613246 .0134100 .11 .12 .1814411 .2016012 .1739304 .1093278 .0445409 .0088279 .12 .13 .1878091 .1904359 .1499359 .0860072 .0319770 .0057838 .13 .14 .1879207 .1749045 .1264016 .0665542 .0227130 .0037709 .14 .15 .1824928 .1566858 .1044572 .0507363 .0159726 .0024462 .15 .16 .1725524 .1372576 .0847767 .0381495 .0111270 .0015788 .16 .17 .1592676 .1178183 .0676742 .0283208 .0076817 .0010137 .17 .18 .1438102 .0992629 .0531997 .0207733 .0052574 .0006473 .18 .19 .1272543 .0821978 .0412261 .0150646 .0035679 .0004111 .19 .20 .1105130 .0669776 .0315189 .0108064 .0024015 .0002596 .20 .21 .0943078 .0537540 .0237903 .0076712 .0016032 .0001630 .21 .22 .0791634 .0425258 .0177381 .0053905 .0010618 .0001017 .22 .23 .0654224 .0331853 ,0130704 .0037506 .0006976 .0000631 .23 .24 .0532691 . 02-55584 .0095217 .0025845 .0004547 .0000389 .24 .25 .0427607 .0194367 .0068600 .0017640 .0002940 .0000238 .25 .26 .0338583 .0146009 .0048890 .0011927 .0001886 .0000145 .26 .27 .0264566 .OIO8380 .0034474 .0007989 .0001200 .0000088 .27 .28 .0204086 .0079514 .0024055 .0005302 .0000757 .0000053 .28 .29 .0155468 .0057671 .0016612 .0003485 .0000475 .0000031 .29 .30 .0116984 .0041358 .OOII353 .0002271 .0000294 .0000019 .30 .31 .0086969 .0029329 .0007681 .0001465 .0000181 .0000011 .51 .32 .OO63888 .0020570 .0005142 .0000937 .0000111 .0000006 .52 .33 .0046382 .0014268 .0003408 .0000593 .0000067 .0000004 .34 .0033280 .0009788 .0002236 .0000372 .0000040 .0000002 .34 .35 .0023602 .0006641 .0001451 .0000231 .0000024 .0000001 .35 .36 .0016545 .0004456 .0000932 .0000142 .0000014 .0000001 .36 .37 .0011462 .0002958 .0000592 .0000086 .0000009 .0000000 .37 .38 .0007849 .0001941 .0000372 .0000052 .0000005 .0000000 .38 .39 .0005312 .0001258 .0000232 .0000031 .0000003 .0000000 .39 .40 .0003552 .0000808 .0000142 .0000018 .0000002 .0000000 .40 .41 .0002347 .0000512 .0000086 .0000011 .0000001 .0000000 .41 .42 .0001533 .0000320 .0000052 .0000007 .0000000 .0000000 .42 .43 .0000988 .0000198 .0000031 .0000004 .0000000 .0000000 .43 .44 .0000629 .0000122 .0000018 .0000002 .0000000 .0000000 .44 -*5 .0000395 .0000073 .0000011 .0000001 .0000000 .0000000 .43 .46 .0000246 .0000043 .0000006 .0000001 .0000000 .0000000 .46 .47 .0000151 .0000025 .0000004 .0000000 .0000000 .0000000 .47 .48 .0000091 .0000015 .0000002 .0000000 .0000000 .0000000 .48 .49 .0000054 .0000009 .0000001 .0000000 .0000000 .0000000 .49 .50 .0000032 .0000004 .0000001 .0000000 .0000000 .0000000 .50 116 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p 11=38 r=34 n=38 r =33 11=38 r*32 11=38 r=31 n=3S r=30 11=38 r - 29 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .OOOOOQO .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 . 0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 :ooooooq .0000000 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 *23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 • 31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000002 .0000007 .37 .38 .0000000 .0000000 .0000000 .0000000 .0000003 .0000014 .38 .39 .0000000 .0000000 .0000000 .0000001 .0000005 .0000026 .39 .40 .0000000 .0000000 .0000000 .0000002 .0000009 .0000048 .40 .41 .0000000 .0000000 .0000001 .0000003 .0000017 .0000083 .41 .42 .0000000 .0000000 .0000001 .0000006 .0000031 .0000144 .42 .43 .0000000 .0000000 .0000002 .0000011 .0000055 .0000243 .43 .44 .0000000 .0000001 .0000003 .0000019 .0000095 .0000404 .44 .45 .0000000 .0000001 .0000006 .0000034 .0000162 .0000659 .45 .46 .0000000 .0000002 .0000011 .0000059 .0000270 .0001056 .46 .47 .0000000 .0000004 .0000019 .0000102 .0000443 .0001665 .47 .48 .0000001 .0000006 .0000034 .0000171 .0000715 .0002584 .48 .49 .0000002 .0000010 .0000059 .0000282 .0001137 .0003945 .49 .30 .0000003 .0000018 .0000101 .0000459 .0001779 .0005936 .50 117 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=38 r= 28 11=38 r = 27 11=38 r=26 11=38 r=25 11=38 r=24 11=38 v -23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .23 .24 .0000000 .0000000 .0000000 .0000001 .0000002 .0000014 .24 .25 .0000000 .0000000 .0000000 .0000001 ■ .0000006 .0000030 .25 .26 .0000000 .0000000 .0000001 .0000002 .0000013 .0000059 .26 .27 .0000000 .0000000 .0000001 .0000006 .0000026 .0000115 .27 .28 .0000000 .0000000 .0000003 .0000011 .0000053 .0000215 .28 .29 .0000000 .0000001 .0000005 .0000023 .0000100 .0000392 .29 .30 .0000000 .0000002 .0000010 .0000044 .0000185 .0000692 .30 • 31 .0000001 .0000004 .0000018 .0000084 .0000333 .0001184 .31 .32 .0000002 .0000007 .0000036 .0000153 .0000581 .0001975 .32 .33 .0000002 .0000015 .0000067 .0000273 .0000988 .0003210 .33 .34 .0000006 .0000028 .0000121 .0000473 .0001639 .0005090 .34 .35 .0000011 .0000052 .0000215 .0000800 .0002654 .0007885 .35 • 36 .0000020 .0000093 .0000372 .0001323 .0004200 .0011945 .36 .37 .0000038 .0000164 .0000628 .0002138 .0006502 .0017712 .37 .38 .0000068 .0000283 .0001037 .0003382 .0009856 .0025729 .38 .39 .0000120 .0000476 .0001676 .0005242 .0014641 .0036640 .39 .40 .0000206 .0000786 .0002654 .0007963 .0021329 .0051189 .40 .41 .00003^8 .0001273 ,0004123 .0011865 .0030489 .0070200 .41 .42 .0000575 .0002022 .0006283 .0017354 .0042794 .0094554 .42 • ^3 .0000934 .0003153 .0009402 .0024928 .0059006 .0125148 .43 .44 .0001490 .0004827 .0013822 .0035185 .0079966 .0162839 .44 .45 .0002334 .0007263 .0019973 .0048823 .0106557 .0208380 .45 . 46 .0003598 .0010744 .0028379 .0066628 .0139672 .0262339 .46 .47 .0005447 .0015633 .0039666 .0089460 .0180143 .0325024 .47 .48 .0008117 .0022384 .0054560 .0118214 .0228688 .0396392 .48 .49 .0011907 .0031547 .0073876 .0153783 .0285821 .0475981 .49 .50 .0017198 ========= .0043777 .0098497 .0196995 .0351776 .0562842 .50 118 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P q ===== 11=38 r-22 11=38 r- 21 11=38 r = 20 11=38 r=19 11=38 r = i8 n =38 r=l 7 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .12 .1? .0000000 .0000000 .0000000 .0000000 .0000003 .0000013 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000007 .0000037 .14 .15 .0000000 .0000000 .0000001 .0000003 .0000020 .0000093 .15 .16 .0000000 .0000000 .0000002 .0000010 .0000048 .0000219 .16 .17 .0000000 .0000001 .0000005 .0000024 .0000114 .0000476 .17 .18 .0000000 .0000003 .0000012 .0000057 .0000250 .0000975 .18 .19 .0000001 .0000006 .0000028 .0000128 .0000517 .0001888 .19 .20 .0000002 .0000014 .0000063 .0000267 .0001015 .0003480 .20 .21 .0000007 .0000030 .0000134 .0000532 .0001899 .0006123 .21 .22 .0000015 .0000065 .0000271 .0001009 .0003401 .0010334 .22 .23 .0000031 .0000133 .0000522 .0001839 .0005847 .0016780 .23 .24 .0000064 .0000282 •0000965 .0003220 .0009686 .0026289 .24 .25 .0000127 .0000491 .0001722 .0005437 .0015495 .0039846 .25 ,26 .0000243 .0000892 .0002963 .0008876 .0024000 .0058549 ,26 .27 .0000447 •0001564 .0004934 .0014040 .0036063 .0083574 .27 .28 .0000798 .0002655 .0007966 .0021560 .0052668 .0116085 .28 .29 .0001380 .0004374 .0012493 .0032196 .0074884 .0157144 .29 .30 .0002319 .0007004 .0019065 .0046827 .0103801 .0207600 .30 .31 ,0003791 .0010918 .0028351 .0066425 .0140459 .0267971 .31 .32 .0006034 .0016592 .0041136 .0092013 .0185752 .0338333 .32 .33 .0009367 .0024614 .005830a .0124600 .0240327 -.0418230 .33 .34 •0014203 .0035679 .0080802 .0165107 .0304477 .0506608 .34 .35 .0021049 .0050590 .0109612 .0214278 .0378048 .0601790 .35 • 36 .0030525 .0070230 .0145661 .0272583 •0460362 .0701504 .36 .37 .0043353 .0095529 .0189766 .0340122 .0550170 .0802951 .37 .38 .0060345 .0127416 .0242536 .0416545 .0645644 .0902932 .38 .39 .0082383 .0166752 .0304287 .0500986 .0744414 .0998066 .39 .40 .0110375 .0214259 .0374954 .0592031 .0843645 .1084686 .40 .41 .0145215 .0270429 .0454013 .0687721 .0940166 .1159647 .41 .42 .0187701 .0335443 .0540436 .0785597 .1030628 .1219927 .42 • 43 .0238472 .0409089 .0632662 .0882783 .1111691 .1263118 .43 .44 .0297921 .0490694 .0728606 .0976123 .1180222 .1287514 .44 .45 .0366110 .0579078 .0825721 .1062332 .1233485 .1292222 .45 .46 .0442697 .0672537 .0921084 .1138181 .1269320 .1277204 .46 .47 .0526867 .0768870 .1011527 .1200693 .1286275 .1243268 .47 .48 .0617298 .0865428 .1093805 .1247321 .1283701 .1192008 .48 k49 .0712149 .0959221 .1164768 .1276116 .1261792 .1125680 .49 '.50 ' mms .0809086 .1047052 .1221560 .1285854 .1221560 .1047052 .50 832939 0 - 50 -9 119 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P 0. p J 11=38 r= 16 11=38 r=15 11=38 r=l4 11=38 r= 13 n-38 r=12 11=38 r=ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015 .05 .06 .0000000 .0000000 .0000000 .0000002 .0000011 .OOOOO83 .06 .07 .0000000 .0000000 .0000001 .0000009 .0000057 .0000335 .07 .08 .0000000 .0000001 .0000006 .0000037 .0000213 .0001088 .08 .09 .0000001 .0000003 .0000023 .0000130 .0000659 .0002959 .09 .10 .0000003 .0000013 .0000077 .0000389 .0001749 .0006998 .10 .11 .0000008 .0000045 .0000224 .0001015 .0004106 .0014765 .11 .12 .0000025 .0000126 .0000577 .0002372 .0008695 .0028341 .12 .13 .0000069 .0000322 .0001346 .0005045 .0016880 .0050209 .13 .14 .0000176 .0000750 .0002878 .0009902 .0030413 .0083033 .14 .15 .0000409 .0001613 .0005711 .0018124 .0051351 .0129330 .15 .16 .0000885 .0003234 .0010612 .0031199 .0081896 .0191092 .16 .17 .0001795 .0006096 .0018602 .0050861 .0124160 .0269419 .17 .18 .0003430 .0010873 .0030957 .0078974 .0179884 .0364212 .18 .19 .0006221 .0018450 .0049158 .0117359 .0250160 .0473988 .19 .20 .0010754 .0029926 .0074814 .0167585 .0335169 .0595857 .20 .21 .0017801 .0046584 .0109529 .0230740 .0434010 .0725648 .21 .22 .0028313 .0069830 .0154737 .0307223 .0544624 .0858194 .22 • 23 .0043408 .0101096 .0211530 .0396575 .0663830 .0987729 .23 .24 .0064330 .0141713 .0280472 .0497371 .0787504 .IIO8339 .24 • 25 .0092368 .0192768 .0361441 .0607220 .0910830 .1214440 .25 .26 .0128767 .0254951 .0453518 .0722838 .1028654 .1301204 .26 .27 .0174605 .0328404 .0554943 .0840223 .1155858 .1364900 .27 .28 .0230663 .0412615 .0663130 .0954907 .1227738 .1403130 .28 .29 .0297294 .0506336 .0774780 .1062251 .1300342 .1414931 .29 .30 .0374310 .0607575 .0886048 .1157768 .1350730 .1400758 • 30 • 31 .0460894 .0713643 .0992769 .1237439 .1377150 .1362341 .31 .32 .0555559 .0821261 .1090737 .1297977 .1379100 .1302484 .32 .53 .0656150 .0926736 .1175972 .1337044 .1357302 .1224772 • 33 .0759912 .1026174 .1244989 .1353377 .1313572 .II33278 .34 .35 .0863609 .1115717 .1295030 .1346830 .1250629 .1032264 .35 .36 .0963682 .1191800 .1324222 .1318336 .1171855 .0925910 .36 .37 .1056462 .1251367 .1331692 .1269787 .1081034 .0818080 .37 .38 .1138384 .1292080 .1317581 .1203853 .0982090 .0712160 .38 .39 .1206214 .1312447 .1283001 .1123777 .0878851 .0610940 .39 .40 .1257250 .1311914 .1229918 .1033132 .0774848 .0516566 .40 .41 .1289497 .1290864 .1160991 .0935588 .0673168 .0430535 .41 .42 .1301784 .1250574 .1079365 .0834709 .0576347 .0353737 .42 .43 .1293827 .1193095 .0988465 .0733763 .0486331 .0286521 .43 .44 .1266234 .1121092 .0891777 .0635594 .0404469 .0228791 .44 .45 .1220432 .1037662 .0792659 .0542531 .0331547 .0180099 .45 .46 .II58570 .0946129 .0694171 .0456341 .0267853 .0139749 .46 .47 .IO8335I .0849844 .0598960 .0378236 .0213261 .OIO6883 .47 .48 .0997856 .0752007 .0509171 .0308897 .0167320 .0080561 .48 .49 .0905348 .0655514 .0426418 .0248541 .0129343 .0059832 .49 .50 .0809086 .0562842 .0351776 .0196995 .0098497 .0043777 .50 120 BINOMIAL DISTRIBUTION Table 1 - Individual Terms qn -r p [ n-38 r-10 11*38 r= 9 n=38 r= 8 11=38 r= 7 11=38 r= 6 11=38 r= 5 P .01 .0000000 .0000000 .0000000 .0000001 .00Q002P .OOOO36O .01 .02 .0000000 .0000000 .0000007 .0000087 .0000925 .0008247 .02 .03 .0000001 .0000014 .0000128 .0061074 .0007593 .0044641 .03 .04 .0000016 .0000130 .0000942 .0065833 .0030624 .0133630 .04 .05 .0000109 .0000720 .0004100 .0020104 .OO83559 .0288657 .05 .06 .0000505 .0002731 .0012835 .0051890 .0177834 .0506558 .06 .07 .0001750 .0008019 .0031960 .0109579 .0318463 .0769274 .07 .08 .0004915 .0019493 .0067250 .OI99582 .0502073 .1049788 .08 .09 .0011755 .0040982 .0124315 .0324376 .0717457 .1318961 .09 .10 .0024740 .0076781 .0207307 .0481489 .0947930 .1551160 .10 .11 .0046931 .0130937 .0317820 .0663602 .1174498 .1727775 .11 .12 .0081647 .0206466 .0454224 .0859606 .1378953 .1838602 .12 .15 .0132005 .0304626 .0611595 .1056255 .1546295 .1881506 .13 .i4 .0200379 .0424450 .0782200 .1239985 .1666229 .1860984 .14 .3-5 ..0207911 .0562586 .0956396 .1398600 .1733682 .1786218 .15 .16 .0394127 .0713507 .1123772 .1522530 .1748531 .1669052 .16 .3.7 .0516764 .0870009 .1274307 .1605578 .1714781 .1522212 .17 .18 .0651823 .1023936 .1399379 .1645149 .1639436 .1357917 .18 .19 .0793840 .1166989 .1492517 .1642022 .1531293 .1186936 .19 .20 .0936345 .1291512 .1549813 .1599808 .1599851 .1018059 .20 .21 .1072428 .1391162 .1570027 .1524204 .1254293 .0857914 .21 .22 .1195342 .1461391 .1554388 .1422196 .1-103011 .0711031 .22 .23 .1299078 .14996.86 .1506206 .1301294 .0952986 .0580078 *23 .24 .1378826 .I5056I6 .1430334 .1168875 .0809690 .0466185 .24 .25 .1431305 .1480660 .1332594 .1031685 .0677044 .0369297 • 25 .26 .1454917 .1427902 .1219210 .0895498 .0557534 .0288514 .26 .27 .1449754 .1351622 .1096316 .0764933 .0452408 .0222396 .27 .28 .1417447 .1256849 .0969570 .0643401 .0361913 .0169206 .28 .29 .1360913 .1148928 .0843868 .0533166 .0285543 .0127107 .29 .30 .1284027 .1033125 .0723188 .0-435468 .0222270 .0094297 .30 • 3 1 .1191265 .0914318 .0610529 .0-350689 .0170748 .0069101 .31 .32 .1087342 .0796758 .0507934 .0278545 .0129479 .0050026 .32 .33 .0976900 .0683933 .0416577 .0218266 .0096937 .0035785 .33 • 34 .0864243 .0578499 .0336891 .OI68765 .0071663 .0025293 .34 .35 .0753132 .0482301 .0268711 .0128783 .0052318 .OOI7666 .35 • 36 .0646667 .0396425 .0211426 .0096999 .0037721 .0012193 .36 .37 .0547229 .0321299 .0164124 .0072117 .0026861 .0008316 .37 .38 .0456478 .0256820 .0125707 .0052930 .0018890 .0005604 .38 .39 .0375403 .0202472 .0095006 .0038349 .0013120 .0003732 .39 .40 .0304405 .0157451 .0070852 .0027427 .0009000 .0002454 .40 .41 .0243395 .0120776 .0052140 .0019363 .0006095 .0001595 .41 .42 .0191908 .0091385 .0037859 .0013492 .0004076 .0001023 ,42 • J3 .0149210 .0068203 .0027123 .0009278 .0002691 .0000648 .43 .44 .0114395 .0050205 .0019169 .0006296 .0001753 .0000406 .44 .45 .0086476 .0036446 .0013364 .0004215 .0001127 .0000250 .45 .46 .0064450 .0026089 .0009188 .0002783 .0000715 .0000153 . 46 .47 .0047350 .0018412 .0006228 .OOOI813 .0000447 .0000092 .47 .48 .0034287 .0012808 .0004162 .0001164 .0000276 .0000054 .48 • VO .0024465 .0008780 .0002742 .0000736 .0000168 .0000032 -.49 .50 | .0017198 —s=JLi ,i ;arf == .0005930 .0001779 .0000459 .0000101 .0000018 .50 121 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p 5 ii CD II -f=- 11=38 r* 3 n=38 r= 2 11=38 r = 1 11=38 r= 0 n=39 r=35 p .01 .0005245 .0059343 .0489579 .2619906 .6825546 .0000000 .01 .02 .0059422 .0332766 .1358796 .3598971 .4640779 .0000000 .02 .03 .0212260 .0784352 .2113393 .3693678 .3142866 .0000000 .03 .04 .0471635 .1293629 .2587258 .3356443 .2119858 .0000000 .04 .05 .0806543 .1751349 .2772970 .2847915 .1423957 .0000000 .05 .06 .1167070 .2089609 .2728102 .2310284 .0952486 .0000000 .06 .07 .1502993 .2282096 .2526606 .1814474 .0634384 .0000000 .07 .08 .1775378 .2333353 .2236130 .1390027 .0420566 .0000000 .08 .09 .1961201 .2266276 .1909547 .1043657 .0277698 .0000000 .09 .10 .2053004 .2111662 .1583747 .0770471 .0182480 .0000000 .10 .11 .2055775 .1900925 .1281684 .0560540 .0119349 .0000000 .11 .12 .1982808 .1661781 .1015533 .0402553 .0077686 .0000000 .12 .13 .1851708 .1416252 .0789833 .0285719 .0050319 .0000000 .13 .14 .1681141 .1180230 .0604165 .0200610 .0032430 .0000000 .14 .15 .1488515 .0963990 .0455218 .0139436 .0020793 .0000000 .15 .16 .1288606 .0773164 .0338259 .0095993 .0013262 .0000000 .16 .17 .1092938 .0609841 .0248122 .0065482 .0008413 .0000000 .17 .18 .0909715 .0473630 .0179804 .0044276 .0005308 .0000000 .18 .19 .0744131 .0362555 .0128802 .0029681 .OOO333O .0000000 .19 .20 .0598859 .0273764 .0091254 .0019731 .0002077 .0000000 .20 .21 .047^617 .0204052 .0063969 .0013008 .0001288 .0000000 .21 .22 .0370725 .0150216 .0044382 .0008505 .0000794 .0000000 .22 .23 .0285588 .0109259 .0030484 .0005517 .0000486 .0000000 .23 .24 .0217096 .0078568 .0020733 .0003549 .0000296 .0000000 .24 .25 .0162925 .0055860 .0013965 .0002264 .0000179 .0000000 .25 .26 .0120758 .0039280 .0009316 .0001434 .0000107 .0000000 ,26 .27 .0088425 .0027323 .0006156 .0000900 .0000064 .0000000 .27 .28 .0063986 .0018804 .0004029 .0000560 .0000038 .0000000 .28 .29 .0045764 .0012805 .0002612 .0000346 .0000022 .0000000 .29 .30 .0032356 .0008629 .0001677 .0000212 .0000013 .0000000 .30 .31 .0022618 .0005754 .0001067 .0000128 .0000008 .0000000 .51 .32 .0015634 .0003796 .0000672 .0000078 .0000004 .0000000 .52 .33 .0010684 .0002479 .0000420 .0000046 .0000002 .0000000 .53 .34 .0007220 .0001602 .0000259 .0000028 .0000001 .0000000 .35 .0004825 .0001024 .0000158 .0000016 .0000001 .0000000 .55 • 36 .0003188 .0000647 .0000096 .0000010 .0000000 .0000000 .36 .37 .0002082 .0000405 .0000057 .0000006 .0000000 .0000000 .37 .38 .0001345 .0000251 .0000034 .0000003 .0000000 .0000000 .38 .39 .OOOO858 .0000153 .0000020 .0000002 .0000000 .0000000 .39 .40 .0000542 .0000092 .0000012 .0000001 .0000000 .0000000 .40 .41 .0000337 .0000056 .0000006 .0000001 .0000000 .0000000 .41 .42 .0000208 .OOOOO33 .0000004 .0000000 .0000000 .0000000 ,42 .*3 .0000127 .0000019 .0000002 .0000000 .0000000 .0000000 .43 .44 .0000076 .0000011 .0000001 .0000000 .0000000 .0000000 .44 .45 .0000045 .0000006 .0000001 .0000000 .0000000 .0000000 .45 .46 .0000026 .0000004 .0000000 .0000000 .0000000 .0000000 .46 .47 .0000015 .0000002 .0000000 .0000000 .0000000 .0000000 .47 .48 .0000009 .0000001 .0000000 .0000000 .0000000 .0000000 .48 .49 .0000004 .0000001 .0000000 .0000000 .0000000 .0000001 .49 .50 .0000003 .0000000 .0000000 .0000000 .0000000 .0000002 .50 122 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n = 39 r =34 n =39 r =33 n =39 r = 32 n =39 r-31 n-39 r=30 n =39 r-29 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .3.6 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .3.7 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 . .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 -31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .36 .37 .0000000 .0000000 .0000000 .0000001 .0000003 .0000019 .37 .38 .QOOOOOO .0000000 .0000000 .0000001 .0000008 .0000034 .38 .39 .0000000 .0000000 .0000000 .0000003 .0000013 .0000063 .39 .40 .0000000 .0000000 .0000001 .0000005 .0000024 .0000111 .40 .41 .0000000 .0000000 .0000002 .0000009 .0000044 .0000192 .41 .42 .0000000 .0000001 .0000003 .0000016 .0000078 .0000325 ,42 .*3 .0000000 .0000001 .0000006 .0000029 .0000136 .0000541 .43 .44 .0000000 .0000002 .0000010 .0000053 .0000231 .0000882 .44 .45 .0000001 .0000003 .0000018 .0000092 .0000385 .0001413 .45 .46 .0000001 .0000006 .0000033 .0000156 .0000632 .0002224 .46 .47 .0000002 .0000011 .0000058 .0000262 .0001018 .0003442 .47 .48 .0000004 .0000019 .0000100 .0000432 .0001612 .0005240 .48 .49 .0000006 .0000034 .0000168 .0000701 .0002513 .0007847 .49 .50 .0000010 .0000059 .0000280 .0001119 .0003855 .0011564 .50 123 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n -' p n-59 r=28 n-59 r=27 n=39 r=26 n=39 r=25 n=39 r=24 n=39 r=23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .22 • 25 .0000000 .0000000 .0000000 .0000001 .0000002 .0000012 .23 .24 .0000000 .0000000 .0000000 ,0000001 .0000006 .0000026 .24 • 25 .0000000 .0000000 .0000001 .0000002 .0000012 .0000054 .25 .26 .0000000 .0000000 .0000001 .0000005 .0000025 .0000107 ,26 .27 .0000000 .0000000 .0000003 .0000011 .0000050 .0000205 .27 .28 .0000000 .0000001 .0000005 .0000023 .0000098 .0000379 .28 .29 .0000000 .0000002 .0000010 .0000046 .0000184 .0000679 .29 .50 .0000001 .0000004 .0000020 .0000087 .0000337 .0001180 .30 .51 .0000002 .0000008 .0000039 .0000161 .0000597 .0001992 .31 • 52 .0000005 .0000017 .0000073 .0000290 .0001027 .0003274 .32 .55 .0000006 .0000052 .0000135 .0000509 .0001721 .0005242 .33 .34 .0000015 .0000060 .0000241 .0000869 .0002813 .0008188 .34 .35 .0000025 .0000109 .0000420 .0001449 .0004485 .0012492 .35 • 36 .0000047 .0000195 .0000715 .0002358 .0006988 .0018634 .36 .37 .0000085 .0000555 .0001187 .0003753 .0010649 .0027200 .37 • 38 .0000150 .0000569 .0001928 .0005843 .0015887 .0038883 .38 • 39 .0000259 .0000944 .0003066 .0008908 .0023221 .0054479 ,39 .40 .0000458 .000155^ .0004777 .0013310 .0033272 •0074864 .40 .41 .0000727 .0002441 .0007297 .0019501 .0046771 .0100956 .41 .42 .0001185 .0005812 .0010933 .0028038 .0064534 .0133675 .42 .^3 .0001888 .0005840 '. 0016078 .0039581 .0087447 .0173878 .43 .44 .0002958 .0008785 .0023222 .0054888 .0116430 .0222275 .44 .*»5 .0.004552 .0012985 .0032955 .0074804 .0152377 .0279358 .45 .46 .0006884 .0018857 .0045973 .0100228 .0196099 .0345303 . 46 .47 .0010255 .0026928 .0063069 .0132081 .0248237 .0419890 .47 .48 .0014965 .0057829 .0085114 .0171241 .0309186 .0502427 .48 .49 .0021550 .0052288 .0113031 .0218481 .0379000 .0591703 .49 .50 .0050488 .0071137 .0147746 .0274385 .0457309 .0685964 .50 124 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-39 r-22 n=39 r-:21 n-39 r-.ZO n=39 r-19 n=39 r»l8 n=39 r=17 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 . 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .12 .13 .0000000 .0000000 .0000000 .0000001 .0000003 .0000021 .13 .14 .0000000 .0000000 .0000000 .0000002 .0000012 .0000056 .14 .13 .0000000 .0000000 .0000001 .0000006 .0000031 .0000140 .15 .16 .0000000 .0000001 .0000003 .0000016 .0000075 .0000325 .16 .17 .0000000 .0000002 .0000008 .0000040 .0000175 .0000700 .17 .18 .0000001 .0000004- .0000020 .0000092 .0000380 .0001417 .18 .19 .0000002 .0000010 .0000048 .0000201 .0000778 .0002711 .19 .20 .0000005 .0000023 .0000105 .0000416 .0001508 .0004934 .20 .21 .0000011 .0000052 .0000218 .0000819 .0002786 .0008576 .21 .22 .0000025 .0000111 .0000433 .0001535 .0004926 •0014290 .22 .23 .0000054 .0000223 .0000825 .0002760 .0008362 .0022905 .23 .24 .0000111 .0000430 .0001507 .0004772 .0013670 .0035420 .24 .25 .0000218 .0000799 .0002650 .0007952 .0021583 .0052976 .25 .26 .0000412 .0001430 .0004500 .0012809 .0032982 . 0076806 .26 .27 .0000749 .0002473 .0007393 .0019986 •0048891 .0108152 .27 .28 .0001318 .0004142 .0011771 .0030271 .0070425 .0148167 .28 .29 .0002249 .0006728 .0018207 .0044575 .0098740 .0197787 .29 • 30 .0003724 .0010622 .0027394 .0063919 .0134941 .0257613 .30 .31 .0006000 .0016322 .0040155 .0089376 .0179987 .0327777 .31 .32 .0009413 .0024446 .0057416 .0122009 .0234578 .0407846 • 32 .33 .0014399 .0035730 .0080180 .0162790 .0299035 .0496744 • 33 • 34 .0021504 .0051021 .0109466 .0212493 .0373201 .0592732 .34 .35 .0031389 .0071247 .0146245 .0271598 .0456358 .0693426 • 35 • 36 .0044819 .0097385 .0191353 .0340183 .0547173 .0795888 .36 .37 .0062658 .0130396 .0245398 .0417840 .0643699 .0896750 •37 .38 .0085832 .0171162 .0308659 .0503603 .0743413 .0992404 .38 .39 .0115287 .0220391 .0381000 .0595923 .0843314 .1079207 .39 .40 .0151929 .0278537 .0461784 .0692677 .0940062 .1153711 .40 .41 .0196553 .0345698 .0549833 .0791224 .1030155 .1212886 .41 .42 .0249753 .0421540 .0643404 .0888510 .1110133 .1254307 .42 .*3 .0311837 .0505226 .0740214 .0981213 .1176805 .1276323 .43 .44 .0382742 .0595375 .0837514 .1065926 .1227430 .1278151 .44 .45 •0461946 .0690067 .0932196 .1139351 .1259917 .1259917 .45 .46 .0548424 .0786869 .1020948 .1198505 .1272947 .1222632 . 46 .47 .0640609 .0882919 .1100435 . 11240916 ..1266062 .1168107 .47 .48 .0-736400 .0975049 .1167493 .1264783 .1239689 .1098815 .48 .49 .0833214 .1059939 .1219329 .1269097 .1195097 .1017718 .49 .50 .0928069 .1134306 .1253707 .1253707 .1134306 .0928069 • 50 125 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-39 r=16 n=39 r=15 n=39 r=14 n-39 r-13 21=39 r =12 n=39 r=ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 • 03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000003 .0000019 .05 .06 .0000000 .0000000 .0000000 .0000002 .0000016 .0000108 .06 .07 .0000000 .0000000 .0000002 .0000012 .0000076 .0000435 .07 .08 .0000000 .0000001 .0000009 .0000051 .0000283 .0001394 .08 .09 .0000001 .0000005 .0000033 .0000178 .0000865 .0003751 .09 .10 .0000003 .0000020 .0000108 .0000525 .0002274 .0008772 .10 .11 .0000012 .0000064 .0000311 .0001355 .0005279 .0018303 .11 .12 .0000037 .0000180 .0000793 .0003130 .0011053 .OO34737 .12 .13 .0000102 .0000455 .0001827 .0006583 .0021214 .0060842 • 13 .14 .0000256 .0001048 .0003861 .0012774 .0037780 .0099461 .14 .13 .0000590 .0002227 .0007574 .0023108 .0063048 .0153116 .15 .16 .0001262 .0004414 .0013906 .0039310 .0099368 .0223578 .16 .17 .0002526 .0008222 .0024086 .0063322 .0148854 .0311468 .17 .18 .0004771 .0014487 .0039600 .0097138 .0213063 .0415982 .18 .19 .0008545 .0024284 .0062116 .0142592 .0292687 .0534760 .19 .20 .0014589 .0038904 .0093368 .0201102 .0387307 .0663954 .20 .21 .0023845 .0059802 .0134983 .0273427 .0495254 .0798472 .21 .22 .0037446 .0088510 .0188284 .0359451 .0613609 .0932367 .22 .23 .0056676 .0126496 .0254090 .0458044 .0738327 .1059339 .23 .24 .0082901 .0175015 .0332528 .0567003 .0864504 .1173256 .24 • 25 .0117468 .0234936 .0422886 .0683122 .0986733 .1268656 .25 .26 .0161575 .0306579 .0523541 .0802350 .1099517 .1341169 .26 .27 .0216131 .0389570 .0631968 .0920045 .1197699 .1387810 .27 .28 .0281609 .0482759 .0744828 .1031300 .1276848 .1407138 .28 .29 .0357916 .0584185 .0858147 .1131297 .1333573 .1399266 .29 .30 .0444289 .0691117 .0967564 .1215657 .1365738 .1365739 .30 • 31 .0539246 .0800172 .1068617 .1280749 .1372560 .1309307 • 31 .32 .0640583 .0907493 .1157054 .1323937 .1354583 .1233638 .32 .33 .0745443 .1008984 .1229125 .1343730 .1313567 .1142974 • 33 .34 .0850441 .1100571 .1281841 .1339844 .1252271 .1041806 .34 .35 .0951847 .1178477 .1313159 .I3I3I6O .1174201 .0934569 • 35 • 36 .1045805 .1239471 .1322104 .1265603 .1083315 .0825382 • 36 .37 .1128577 .1281087 .1308787 .1199948 .0983741 .0717866 .37 .38 .1196788 .1301770 .1274365 .1119583 .0879517 .0615000 .38 .39 1247645 .1300963 .1220904 .1028256 .0774366 .0519080 .39 .40 .1279116 .1279115 .1151204 .0929818 .0671536 .0431701 .40 .41 .1290057 .1237616 .1068576 .0827996 .0573688 .0353808 .41 .42 .1280276 .1178667 .0976609 .0726197 .0482850 .0285769 ,42 .43 .1250512 .1105104 .0878943 .0627368 .0400412 .0227477 .43 .44 .1202371 .1020194 •0779057 .0533899 .0327170 .0178457 .44 .45 .1138185 .0927411 .0680101 .0447588 .0263395 .0137969 • 45 .46 .1060847 .0830228 .0584770 .0369637 .0208925 .0105111 . 46 .47 .0973603 .0731928 .0495220 .0300698 .0163263 .0078902 • 47 .48 .0879848 .0635446 .0413040 .0240940 .0125675 .0058350 .48 .49 .0782929 .0543257 .0339258 .0190134 .0095282 .0042503 .49 .50 .0685964 .0457309 .0274385 .0147746 .0071137 .0030488 • 50 126 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p II n=39 r=lo n=39 r= 9 n=39 r= 8 n=39 r- 7 n-39 r =6 n=39 r-5 P .01 .0000000 .0000000 .0000000 .0000001 .0000024 .0000409 .01 .02 .0000000 .0000001 .0000008 .0000103 .0001072 .0009270 .02 .03 .0000002 .0000016 .0000157 .0001270 .0008704 .0049659 .03 .04 .0000021 .0000163 .0001138 .0006824 .0034744 .0147150 .04 .05 .0000140 .0000889 .0004900 .0023277 .0093814 .0314551 .05 .06 .0000639 .0003337 .0015178 .0059447 .0197558 .0546188 .06 .07 .0002189 .0009694 .0037394 .0124201 .0350019 .0820634 .07 .08 .0006082 .0023313 .0077837 .0223781 .0'545890 .1107835 .08 .09 .0014385 .0048483 .0142320 .0359753 .0771592 .1376763 .09 .10 .0029944 .OO89833 .0234726 .0528133 .1008253 .1601344 .10 .11 .0056172 .0151494 .0355857 .0719799 .1235360 .1763855 .11 .12 .0096626 .0236197 .0502870 .0921928 .1434110 .1855907 .12 .13 .0154445 .0344532 .0669401 .1119960 .1589873 .1877632 .13 .14 .0231749 .0474535 .0846289 .1299660 .1693495 .1835806 .14 .15 .0329113 .0621657 .1022727 .1448863 .1741562 .1741562 • 15 .16 .0445227 .0779149 .1187574 .1558690 .1735814 .1608181 .16 .17 .0576816 .0938739 .1330623 .1624143 .1682044 .1449236 .17 .18 .0718803 .1091516 .1443618 .1644120 .1588763 .1277241 .18 .19 .0864738 .1228839 .1520923 .1620984 .1465865 .1102803 .19 .20 •1007379 .1343171 .1559813 .1559812 .1323477 .0934219 .20 .21 .1139362 .1428724 .1560404 .1467522 .1171054 .0777422 .21 .22 .1253873 .1481850 .1525306 .1351975 .1016775 .0636165 .22 .23 .1345218 .1501185 .1459076 .1221184 .0867217 .Q512345 .23 .24 .1409256 .1487548 .1367584 .1082671 .0727248 .0406404 .24 .25 .1443644 .1443643 .1257367 .0943025 .0600107 .0317704 .25 .26 .1447893 .1373643 .1135044 .0807628 .0487589 .0244897 .26 .27 .1423259 .1282690 .1006842 .0680551 .0390305 .0186224 • 27 .28 .1372480 .1176411 .0878242 .0564585 .0307955 .0139744 .28 .29 .1299437 .1060461 .0753764 .0461356 .0239596 .0103518 .29 • 30 .1208757 .09^0144 .0636872 .0371508 .0183878 .0075715 .30 .31 .1105411 .0820144 .0529978 .0294908 .0139238 .0054691 .31 .32 .0994355 .070*1335 .0434529 .0230844 .0104054 .0039021 • 32 .33 .0880221 .0595706 .0351134 .0178227 .0076757 .0027502 .33 • 34 .0767091 .0496352 .0279728 .0135751 .0055897 .0019148 .34 .35 .0658341 .0407544 .0219736 .0102021 .0040189 .0013172 .35 • 36 .0556580 .0329825 .0170233 .0075658 .0028532 .0008951 .36 .37 .0463635 .0263144 .0130081 .0055372 .0020000 .0006009 .37 .38 .0380609 .0206997 .0098051 .0039995 .0013842 .0003985 .38 • 39 .0307960 .0160561 .0072909 .0028510 .0009458 .0002611 .39 .40 .02*15623 .0122812 .0053482 ,0020056 .0006382 .0001689 .40 .41 .0193121 .0092636 .0038701 .0013923 .0004250 .0001079 .41 .42 .0149688 .0068905 .0027625 .0009537 .0002794 .0000681 .42 .43 .0114377 .0050539 .0019450 .0006445 .0001813 .0000424 .43 .44 .0086151 .0036550 .0013505 .0004297 .0001160 .0000260 .44 .45 .0063963 .0026059 .0009246 .0002826 .0000732 .OOOOI58 .45 .46 .0046804 .OOI8315 .0006241 .OOOI832 .0000456 .0000095 . 46 .47 .0033749 .0012686 .0004153 .0001171 .0000280 .0000056 .47 .48 .0023976 .0008659 .0002723 .0000737 .0000170 .0000032 .48 .49 . 001.6779 .0005821 .0001760 .0000457 .0000101 .0000019 .49 .50 .0011564 .OOO3855 .0001119 .0000280 .0000059 .0000010 .50 127 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q n-r p n-39 r- 4 n=39 r = 3 n=39 r= 2 n=39 r= 1 n=39 r» 0 n=4o r=36 p .01 .0005786 .0063645 .0510882 .2661963 ,6757290 .0000000 .01 .02 .0064890 .0353286 .1403599 .3619808 ,4547963 .0000000 .02 .03 .0229423 .0824224 .2160801 .3677154 .3048580 .0000000 .03 .04 .0504516 .1345374 .2618025 .3306979 ,2035064 .0000000 .04 • 05 .0853783 .1802431 .2776716 .2776717 .1352760 .0000000 .05 .06 .1222422 .2127919 .2703033 .2228816 ,0895337 .0000000 .06 .07 .1557531 .2299212 .2476756 .1731868 .0589977 .0000000 .07 .08 .1820016 .2325575 .2168442 .1312478 .0387013 .0000000 .08 .09 .1988657 .2234171 .1831617 .0974721 .0252705 .0000000 .09 .10 .2058870 .2058871 .1502419 .0711672 .0164232 .0000000 .10 .11 .2038741 .1832808 .1202358 .0512009 ,0106221 .0000000 .11 .12 .1944284 .1584232 .0941975 .0363570 .0068363 .0000000 .12 .13 .1795099 .1334817 .0724298 .0255118 ,0043777 .0000000 .13 .14 .1611013 .1099581 .0547667 ,0174066 .0027889 .0000000 .14 .15 .1409836 .0887675 .0407850 ,0121640 ,0017674 .0000000 .15 .16 .1206136 .0703579 .0299496 .0082756 .0011140 .0000000 .16 .17 .1010811 .0548349 .0217073 .0055780 ,0006983 .0000000 .17 .18 .0831220 .0420741 .0155409 .0037261 ,0004353 .0000000 .18 .19 .0671632 .0318141 .0109969 .0024675 .0002697 .0000000 .19 .20 .0533840 .0237262 .0076949 ,0016200 .0001662 .0000000 .20 .21 .0417798 .0174635 .0053267 ,0010547 .0001017 .0000000 .21 .22 .0322212 .0126933 .0036489 .0006809 .0000619 .0000000 .22 .23 .0245035 .0091148 .0024742 ,0004360 .0000374 .0000000 .23 .24 .0183849 .0064688 .0016609 .0002768 .0000225 .0000000 .24 .25 .0136159 .0045386 .0011040 .0001743 ,0000134 .0000000 .25 .26 .0099574 .0031489 .0007267 .0001089 .0000079 .0000000 ,26 .27 .0071927 .0021608 .0004737 .0000674 .0000047 .0000000 .27 .28 .0051335 .0014667 .0003058 .0000414 .0000027 .0000000 .28 .29 .0036205 .0009849 .OOOl'955 .0000252 .0000016 .0000000 .29 .30 .0025238 .0006543 .0001238 .0000152 .0000009 .0000000 .30 .31 .0017390 .0004301 .0000776 ,0000091 .0000005 .0000000 .31 .32 .0011845 .0002797 .0000482 .0000054 .0000003 .0000000 .32 .33 .0007976 .0001799 .0000297 .0000031 .0000002 .0000000 .33 .0005310 .0001145 .0000181 .0000018 .0000001 .0000000 .34 .35 .0003494 .0000721 .0000109 ,0000010 .0000001 .0000000 .35 • 36 .0002273 .0000449 .0000065 .0000006 .0000000 .0000000 .36 .37 .0001462 .0000276 .0000038 .0000004 .0000000 .0000000 •37 .38 .0000929 .0000169 .0000022 .0000002 .oonoooo .0000000 .38 • 39 .0000584 .0000101 .0000013 .0000001 .0000000 .0000000 .39 .40 .0000362 .0000060 .0000007 .0000001 .0000000 .0000000 .40 .41 .0000222 .0000036 .0000004 .0000000 .0000000 .0000000 .41 .42 .0000134 .0000021 .0000002 .0000000 .0000000 .0000000 .42 .43 .0000080 .0000012 .0000001 .0000000 .0000000 .0000000 .43 .44 .0000048 .0000006 .0000001 .0000000 .0000000 .0000000 .44 .45 .0000028 .0000004 .0000000 .0000000 .0000000 .0000000 .45 .46 .0000016 .0000002 .0000000 .0000000 .0000000 .0000000 .46 .47 .0000009 .0000001 .0000000 .00000O0 .0000000 .0000000 .47 .48 .0000005 .0000001 .0000000 .0000000 .0000000 .0000000 .48 .49 .0000003 .0000000 .0000000 .0000000 .0000000 .0000000 .49 .50 .0000002 .0000000 .0000000 .0000000 .0000000 .0000001 .50 128 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r 7 I n-4o r-35 n=40 r=34 n = 40 r-33 n=40. r=32 n=40 r=31 na^O r^O p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 . 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .000000.0 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 *29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 • 30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 -31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000002 .0000009 .38 .0000000 .0000000 .0000000 .0000001 .0000003 .0000018 .38 .39 .0000000 .0000000 .0000000 .0000001 .00Q0007 .0000033 .39 .40 .0000000 .0000000 .0000000 .0000003 .0000013 .0000059 .40 .0000000 .0000000 .0000001 .0000004 .0000024 .0000105 .41 .42 .0000000 .0000000 .0000002 .0000008 .0000043 .0000182 .42 .43 .0000000 .0000001 .0000002 ,0000016 .0000076 .0000309 . 43 .44 .0000000 .0000001 .0000006 .0000029 .0000131 .0000517 .44 .45 .0000000 .0000002 .0000010 .0000052 .0000223 .0000848 .45 .46 .0000001 .0000003 .0000018 .0000090 .0000375 .0001364 .46 .47 i, o .0000001 .0000006 .0000033 .0000154 .0000617 .0002158 .47 1.0 .48 .0000002 .0000011 .0000058 .0000259 .0000999 .0003353 . 4o .49 .0000004 .0000020 .0000100 .0000429 .0001589 .0005126 .49 • 50 .0000006 .0000035 .0000169 .0000700 .0002487 .0007709 . 50 129 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n=40 r- 29 n=40 r= 28 n=40 r= 27 n=40 r-26 n—40 r-25 n=40 r=2.4 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 . 0JOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 ' .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000003 .0000010 .24 .25 .0000000 .0000000 .0000000 .0000001 .0000005 .0000022 .25 .26 .0000000 .0000000 .0000000 .0000003 .0000010 .0000046 .26 .27 .0000000 .0000000 .0000001 .0000005 .0000022 .0000092 .27 .28 .0000000 .0000000 .0000002 .0000010 .0000044 .0000177 .28 .29 .0000000 .0000001 .0000004 .0000020 .0000086 .0000328 .29 • 30 .0000000 .0000002 .0000009 .0000040 .0000162 .0000590 .30 .31 .0000001 .0000004 .0000017 .0000077 .0000296 .0001030 .31 • 32 .0000002 .0000007 .0000035 .0000143 .0000526 .0001746 .32 • 33 .0000003 .0000015 .0000066 .0000258 .0000909 .0002883 .33 .34 .0000007 .0000029 .0000121 .0000455 .0001530 .0004640 .34 .35 .0000012 .0000054 .0000218 .0000780 .0002512 .0007287 .35 • 36 .0000023 .0000099 .0000381 .0001307 .0004025 .0011180 .36 .37 .0000043 .0000178 .0000650 .0002137 .0006304 .0016773 •n .38 .0000078 .0000309 .0001086 .0003415 .0009660 .0024626 .38 .39 .0000139 .0000526 .0001772 .0005344 .0014490 .0035412 .40 .0000241 .0000877 .0002831 .0008-190 .0021295 .0049909 .40 .41 .0000411 .0001430 .0004432 .0012301 .0030681 .0068987 .41 .42 .0000685 .0002287 .0006803 .0018117 .0043366 .0093573 .42 • {3 .0001120 .0003588 .0010242 .0026185 .0060163 .0124613 .43 I. It .44 .0001795 .0005522 .0015137 .0037156 .0081966 .0163002 .44 • 45 .0002826 .0008345 .0021971 .0051787 .0109711 .0209519 .45 .46 .0004368 .0012391 .0031330 .0070931 .0144328 .0264733 . 46 .47 .0006634 .0018081 .0043915 .0095504 .0186675 .0328914 .47 .48 .0009908 .00,25940 .0060525 .0126455 .0237455 .0401942 .48 • 49 .0014552 .0036601 .0082052 .0164702 .0297135 .0483224 .49 • 50 .0021026 .0 050812 .0109442 .0211065 .0365848 .0571636 • 30 130 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p KN OJ II UL n=4o r=22 n=40 r-21 n=40 r =20 n=40 r=19 n=40 r=}8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .12 • 13 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000003 .0000017 .14 .15 .0000000 .0000000 .0000000 .0000002 .0000010 .0000047 .15 .16 .0000000 .0000000 .0000001 .0000005 .0000026 .0000115 .16 .17 .0000000 .0000001 .0000002 .0000014 .0000062 .0000265 .17 .18 .0000000 .0000002 .0000007 .0000033 .0000144 .0000566 .18 .19 .0000001 .0000003 .0000017 .0000077 .0000311 .0001145 .19 .20 .0000002 .0000009 .0000039 .0000167 .0000635 .0002193 .20 .21 .0000004 .0000020 .0000087 .0000344 .0001232 .0004002 .21 .22 .0000010 .0000044 .0000182 .0000676 .0002281 .0006986 .22 .23 .0000021 .0000094 .0000361 .0001270 .0004049 .0011706 .23 .24 .0000046 .0000188 .0000689 .0002290 .0006908 .0018890 .24 .25 .0000095 .0000363 .0001263 .0003975 .0011360 .0029431 .25 .26 .0000186 .0000676 .0002229 .0006661 .0018053 .004*1377 ,26 .27 .0000351 .0001214 .0003802 .0010793 .0027790 .0064892 .27 .28 .0000642 .0002108 .0006279 .0016951 .0041514 .0092193 .28 .29 .0001134 .0003548 .0010057 .0025854 .0060283 ; 0127463 .29 • 30 .0001943 .0005794 .0015654 .0038351 .0085225 .0171743 .30 .31 .0003234 .0009200 .0023710 .0055413 •0117466 .0225802 .31 .32 .0003238 .0014223 .0034997 .0078086 .0158031 .0290024 .32 .33 .000.8264 .0021438 .0050399 .0107441 .0207750 .0364279 .33 .34 .0012725 .0031541 .0070892 .0144495 .0267133 .0447842 .34 .35 .0019106 .0045340 .0097496 .0190118 .0336264 .0539332 .35 • 36 .0028061 .0063743 .0131213 .0244932 .0414700 .0636710 .36 .37 .0040319 .0087721 .0172948 .0309201 .0501407 .0737328 .37 .38 .0056723 .0118257 .0223411 .0382738 .0594731 .0838030 .38 .39 .0078194 .0156277 .0283029 .0464820 .0692405 .0935313 •39 .40 .0105690 .0202572 .0351836 .0554141 .0791631 .1025521 .40 .41 .0140150 .0257703 .0429394 .0648803 .0889185 .1105073 .41 .42 .0182428 .0321904 .0514723 .0746348 .0981592 .1170686 .42 .43 .0233200 .0394994 .0606271 .0843844 .1065517 .1219598 .43 .44 .0292880 .0476301 .0701916 .0938015 .1136 88 .1249748 .44 .45 .0361523 .0564600 .0799026 .1025415 .1193605 .1259917 .45 .46 .0438739 .0658109 .0894545 .1102625 .1232148 .1249801 .46 .47 .0523627 .0754495 .0985151 .1166462 .1252734 .1220023 .47 .48 . 0614734 .0850952 .1067422 .1214192 ,1252738 .1172069 .48 .49 .0710044 .0944309 .1138040 .1243716 .1232837 .1108181 .49 .50 .0807017 .1031187 .1194007 .1253706 .1194007 .1031187 • 50 131 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=40 r=17 n-40 r-16 n=40 r=15 n=40 r=l4 n=40 r-13 n-40 r=12 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 . 0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 40000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000003 .0000022 .06 .07 .0000000 .0000000 .0000000 .0000003 .0000016 .0000102 .07 .08 .0000000 .0000000 .0000002 .0000012 .0000069 .0000372 .08 .09 .0000000 .0000001 .0000008 .0000046 .0000240 .0001125 .09 .10 .0000001 .0000005 .0000029 .0000150 .0000699 .0002924 .10 .11 .0000003 .0000017 .0000091 .0000426 .0001787 .0006711 .11 .12 .0000011 .0000054 .0000253 .0001074 .0004081 .0013895 .12 .13 .0000031 .0000148 .0000634 .0002445 .0008485 .OO26365 .13 .14 .0000085 .0000366 .0001442 .0005110 .0016274 .0046415 .14 .13 .0000208 .0000835 .0003029 .0009904 .0029099 .0076558 .15 .16 .0000475 .0001766 .0005933 .0017970 .0048920 .0119241 .16 .17 .0001010 .0003495 .0010919 .0030756 .0077862 .0176499 .17 .18 .0002021 .0006519 .0019008 .0049957 .0118004 .0249589 .18 .19 .0003820 .0011535 .0031472 .0077407 .0171109 .0338681 .19 .20 .0006865 .0019452 .0049797 .0114915 .0238342 .0442636 .20 .21 .0011782 .0031396 .0075591 .0164056 .0320010 .0558930 .21 .22 .0019384 .0048680 .0110460 .0225941 .0415366 .0683736 .22 .23 .0030672 .0072735 ..0155843 .0300999 .0522509 .0812160 .23 .24 .0046815 .0105009 .0212818 .0388802 .0638403 .0938605 .24 • 25 .0069099 .0146835 .0281923 .0487945 .0759025 .1057214 .25 .26 .0098846 .0199276 .0362988 .0596032 .0879613 .1162347 .26 .27 .0137307 .0262959 .0455017 .0709749 .0995012 .1249029 .27 .28 .0185531 .0337931 .0556138 .0825040 .1100053 .1313329 .28 .29 .0244225 .0423534 .0663634 .0937360 .1189957 .1352624 .29 • 30 .0313616 .0518337 .0774052 .1041991 .1260682 .1365738 .30 .31 .0393332 .0620134 .0883390 .1134377 .1309211 .1352951 .31 .32 .0482321 .0725995 .0987353 .1210456 .1333743 .1315881 .32 .33 .0578815 .0832412 .1081630 .1266945 .1333776 .1257271 • 33 .34 .0680353 .0935485 .1162203 .1301562 .1310069 .1180713 .34 .35 .0783874 .1031167 .1225616 .1313159 .1264525 .1090329 .35 .36 .0885858 .1115524 ,1269220 .1301763 .1199979 .0990^59 .36 .37 .0982526 .1185006 .1291337 .1268516 .1119952 .0885367 .38 .1070069 .1236682 .1291356 .1215548 .1028358 .0779000 .38 .39 .1144898 .1268438 .1269740 .1145772 .0929238 .067^805 • 39 .40 .1203874 .1279115 .1227950 .1062650 .0826505 .0575602 .40 .41 .1244526 .1268557 .1168309 .0969938 .0723730 .0483537 .41 .42 .1265214 .1237600 .1093803 ,0871436 .0623991 .0^00076 .42 .^3 .1265224 .1187987 .1007855 .0770765 .0529777 .0326051 . **3 .44 .1244807 .1122213 .091^094 ,0671187 .0442939 .0261736 .44 .45 .1205138 .1043337 .0816121 .0575471 .0364701 .0206953 .45 .46 .1148212 .0954762 .0717317 ,0485809 .0295709 .0161171 . 46 .47 .1076690 .0860016 .0620675 .0403795 .0236103 .0123614 .47 .48 .0993711 .0762535 .0528691 .0330432 .0185613 .0093359 .48 .49 .0902671 .0665490 .0443297 .0266188 .0143656 .0069^20 .49 .50 .0807017 .0571636 .0365848 .0211065 .0109442 .0050812 .50 132 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=40 r=11 n-40 r* Xo n=40 r= 9 n=40 r= 8 n=40 r- 7 VO II u 0 -=i- 11 P .01 .0000000 .0000000 .0000000 .0000000 .0000001 .0000028 .01 .02 .0000000 .0000000 .0000001 .0000010 .0000123 .0001236 .02 .03 .0000000 .0000002 .0000021 .0000191 .0001492 .0009934 .03 .04 .0000003 .0000026 .0000203 .0001365 .0007941 .0039240 .04 .05 .0000025 .0000178 .0001089 .0005819 .0026804 .0104850 .05 .06 .0000139 .0000801 .0004048 .0017834 .0067734 .0218475 .06 .07 .0000557 .0002714 .0011634 .0043470 .0140008 .0382963 .07 .08 . 0001^69 .0007461 .0027675 .0089512 .0249550 .0590846 .08 .09 .0004"’08 .0017453 .0056928 .0161889 .0396819 .0826058 .09 .10 .0010889 .0035934 .0104322 .0264066 .0576145 .1067563 .10 .11 .0022469 .0066657 .0173975 .0395889 .0776512 .1293494 .11 .12 .0042164 .0113374 .0268197 .0553157 .0983390 .1484726 .12 .13 .0073011 .0179156 .0386765 .0727974 .1181048 .1627282 .13 .14 .0117982 •0265739 .0526580 .0909762 .1354796 .1713^19 .14 .15 .0179516 .0372995 .0681817 .1086647 .1492768 .1741562 .15 .16 .0259042 .0498655 .0844497 .1246952 .1587030 •1715393 .16 .17 .0356577 .0638342 .1005360 .1380521 .1633986 .1642467 .17 .18 .0470490 .0785891 .1154894 .1479709 .1634156 .1532688 .18 .19 .0597456 .0933918 .1284335 .1539934 .1591511 .1396884 .19 .20 .0752639 .1074538 .1386500 .1559812 .1512545 .1245626 .20 .21 .0870059 .1200128 .1456377 .1540898 .1405264 .1088391 .21 .22 .1003098 .1304028 .1491410 .1487173 .1278232 .0933041 .22 .23 .1125091 .1381091 .1491500 .1404360 .1139771 .0785597 *23 .24 .1229896 .1428046 .1458756 .1299205 .0997370 .0650245 .24 .25 .1312403 .1443644 .1397074 .1178781 .0857296 .0529506 .25 .26 .1368917 .1428588 .1311607 .1049917 .0724417 .0424489 ,26 .27 .1397381 .1385305 .1208211 .0918744 .0602184 .0335203 .27 .28 .1397434 .1317581 .1092924 .0790418 .0492728 .0260856 .28 .29 .1370316 .1230134 .0971518 .0668966 .0397046 .0200133 .29 .30 .1318644 .1128173 .0849162 .0557263 .0315220 .0151428 .30 .31 .1246100 .1016978 .0730192 .0457107 .0246649 .0113029 .31 .32 .1157068 .0901549 .0617997 .0369349 .0190271 .0083244 • 32 .33 .1056266 .0786331 .0514997 .0294075 .0144742 .0060503 • 33 .34 .0948403 .0675039 .0422701 .0230775 .0108601 .0043402 .3^ .35 .0837889 .0570562 .0341812 .0178535 .0080380 .0030733 • 35 • 36 .0728614 .0474948 .0272372 .0136186 .0058693 .0021482 .36 .37 .0623800 .0389453 .0213911 .0102439 .0042284 .0014823 .38 .0525931 .0314637 .0165598 .0075989 .0030Q57 .0010096 .38 .39 .0436743 .0250475 .0126376 .0055594 .0021080 .0006788 .39 .40 .0357270 .0196499 .0095080 .0040112 .0014586 .0004504 .40 .41 .0287927 .0151922 .0170522 .0028542 .0009957 .0002950 .41 .42 .0228615 .0115759 .0051567 .0020028 .0006705 .0001907 .42 .43 .0178843 .0086927 .0037170 .OOI3858 .0004454 .0001215 .44 .0137843 .0064326 .0026410 .0009453 .0002917 .0000764 .44 .45 .0104666 .0046906 .0018494 .0006357 .0001883 .0000474 .45 .46 .0078290 .0033699 .0012761 .0004213 .0001199 .0000290 . 46 .47 .0057680 .0023850 .0008675 .0002751 .0000753 .0000174 .47 .48 .0041850 .0016624 .0005810 .00Q1770 .0000465 .0000103 .48 .49 .0029898 .0011411 .0003830 .0001122 .0000283 .0000060 .49 • 50 .0021026 .0007709 .0002 487 .0000700 .0000169 .0000035 . 50 133 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q°- r p n-4o r= 5 n-40 r= 4 n-40 r- 3 n=40 r = 2 n=40 r= 1 n=40 r= 0 p .01 .0000463 .0006364 .0068118 .0532392 .2702916 .6689718 .01 .02 .0010382 *.0070657 .0374293 .1447923 .3638371 .4457004 .02 .03 .0055061 . 02.47267 .0864321 .2206292 .3658296 .2957123 .03 .04 .0161445 .0538150 .1396280 .2645583 .3256102 .1953662 .04 .05 .0341514 .0901215 .1851144 .2776717 .2705519 .1285122 .05 .06 .0586763 .1276751 .2162426 .2674580 .2148808 .0841616 .06 .07 .0872217 .1709448 .2211640 .2424614 .1651935 .0548679 .07 .08 .1164810 .1860460 .2313005 .2099964 .1238441 .0356052 .08 .09 .1431833 .2010754 .2197941 .1754496 .0909739 .0229962 .09 .10 .1647096 .2058870 .2003226 .1423344 .0656928 .0147809 .10 .11 .1794092 .2016089 .1763458 .1126420 .0467372 .0094537 .11 .12 .1866512 .1901078 .1507161 .0872566 ,0328145 .0060160 .12 .13 .1866903 .1735262 .1255450 .0663305 .0227643 .0038086 .13 .14 .1804335 .1539412 .1022313 .0495783 .0156181 .0023985 .14 .15 .1691804 .1331511 .0815701 .0364919 .0106045 .0015023 .15 .16 .1543854 .1125726 .0638926 .0264818 .0071297 .0009358 .16 .17 .1374704 .0932192 .0492032 .0189653 .0047485 .0005796 .17 .18 .1196957 .0757334 .0372981 .0134143 .0031338 .0003569 .18 .19 .1020880 .0604469 .0278588 .0093763 .0020499 .0002185 .19 .20 .0854143 .0474524 .0205200 .0064799 .0013293 .0001329 .20 .21 .0701901 .0366734 .0149148 .0044296 .0008545 .0000804 .21 .22 .0567094 .0279252 .0107034 .0029960 .00054^7 .0000453 .22 .23 .0450864 .0209641 .0075875 .0020054 .0003443 .0000288 ,23 .24 .0352991 .0155250 .0053149 .0013287 .0002158 .0000171 .24 .25 .0272318 .0113465 .0036800 .0008716 .0001340 .0000101 .25 .26 .0207114 .0081871 .0025192 .0005660 .0000826 .0000059 ,26 .27 .0155364 .0058342 .0017052 .00035 40 .OOOO505 .0000034 .27 .28 .0114990 .0041068 .0011416 .0002318 .0000305 .0000020 .28 .29 .0083997 .0028562 .0007560 .0001461 .0000184 .0000011 .29 • 30 .0060572 .0019630 .0004951 .0000912 .0000110 .0000008 .30 .31 .0043128 .0013332 .0003208 .0000564 .0000064 .0000004 .31 .32 .0030324 .0008950 .0002056 .0000345 .OOOOO38 .0000002 .32 .33 .0021058 .0005938 .0001303 .0000209 .0000022 .0000001 • 33 .3^ .0014444 .0003894 .0000817 .0000125 .0000012 .0000001 .34 .35 .0009785 .0002524 .0000506 .0000075 .0000007 .0000000 .35 • 36 .0006547 .0001617 .0000310 .0000044 .0000004 .0000000 • 36 .37 .0004327 .0001023 .0000188 .0000026 .0000002 .0000000 .38 .0002824 .0000640 .0000113 .0000015 .0000001 .0000000 .38 .39 .0001820 .0000395 .0000067 .0000008 .0000001 .0000000 .39 .40 .0001159 .0000241 .0000039 .0000005 .0000000 .0000000 .40 • U1 .0000728 .0000146 .0000022 .0000003 .0000000 .0000000 .41 .42 .0000451 .OOOOO87 .0000012 .0000002 .0000000 .0000000 ,42 .43 .0000276 .0000051 .0000007 .0000001 .0000000 .0000000 .43 .44 .0000167 .0000030 .0000004 .0000000 .0000000 .ooodooo .44 .45 .0000100 .0000017 .0000002 .0000000 .0000000 .0000000 .45 .46 .0000058 .0000010 .0000001 .0000000 .0000000 .0000000 . 46 .47 i, O .0000034 .0000005 .0000001 .0000000 .0OC0000 .0000000 w47 . 48 .0000020 .0000003 .0000000 .0000000 .0000000 .0000000 . 4o .49 .0000011 .0000002 .0000000 .0000000 .0000000 .0000000 .49 • 50 .0000006 .0000001 .0000000 .0000000 .0000000 .0000000 .50 134 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p | n=41 r=37 n=4l r-36 n=41 r= 35 n»4l r= 34 n=4l r= 33 n=4l r= 32 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .OOOOOQO .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 . 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .-0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 . OOOOQOO .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .OOOOOQO .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000600 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 • 30 ■.0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ,33 • 34 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .38 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .38 • 39 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .39 .40 .0000000 .0000000 .0000000 .0000000 .000Q001 .0000007 .40 • 4 JL .0000000 .0000000 .0000000 .0000000 .0000003 .0000012 .41 .42 .0000000 .0000000 .0000000 .0000001 .0000004 .0000023 .42 .43 .0000000 .0000000 .0000000 .0000002 .0000008 .0000042 .43 .44 .0000000 .0000000 .0000001 .0000002 .0000016 .0000074 .44 .45 .0000000 .0000000 .0000001 .0000006 .0000028 .0000129 .45 .46 .0000000 .0000000 .0000002 .0000010 .0000052 .0000221 . 46 .47 .0000000 .0000001 .0000003 .0000019 .0000090 .0000371 .47 .48 .0000000 .0000001 .0000006 .0000034 .0000154 .0000615 .48 .49 .0000000 .0000002 .0000011 .0000060 .0000261 .0000997 .49 .50 .0000001 .0000003 .0000020 .0000103 .0000434 .0001593 . 50 832939 0 - 50 - 10 135 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n-4l r=31 n=4l r=30 n=4l 1^29 n=4l r=-28 n»4l r=27 n-4l r = 26 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 . .0000000 .01 .02 .0000000 .0000000 . 0000 Q 00 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000- .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .ooooooo .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 ,23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000005) .0000000 .0000001 .24 • 25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 ,26 .27 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .27 .28 .0000000 .0000000 .0000000 .0000001 .0000004 .0000020 .28 .29 .0000000 .0000000 .0000000 .0000002 .0000009 .0000039 .29 • 30 .0000000 . OOO 0 OOO .0000001 .0000004 .0000018 .0000077 .30 .31 .0000000 .0000000 .0000002 .0000008 .0000036 .0000145 .31 .32 .0000000 .0000001 .0000003 .0000017 .0000069 .0000265 .32 .33 .0000000 .0000002 .0000007 .0000032 .0000129 .0000473 .33 .34 .0000001 .0000003 .0000013 .0000061 .0000235 .0000820 .34 .35 .0000001 .0000006 .0000027 .0000112 .0000414 .0001386 .35 .36 .0000003 .0000011 .0000051 .0000201 .0000714 .0002285 .36 • 37 .0000005 .0000021 .0000093 .0000353 .0001200 .0003678 •37 .38 .0000009 .0000041 .0000165 .0000604 .0001970 .0005789 .38 • 39 .0000017 .0000074 .0000290 .0001012 .0003165 .0008911 .39 .40 .0000031 .0000132 .0000496 .0001658 .0004975 .0013432 .40 • 41 .0000057 .0000230 .0000829 .0002661 .0007658 .0019837 .41 .42 .0000101 .0000394 .0001358 .0004183 .0011555 .0028722 .42 .43 .0000176 .0000658 .0002181 .0006449 .0017098 .0040795 .43 .44 .0000301 .0001080 .0003435 .0009753 .0024825 .0056872 .44 .45 .0000505 .0001738 .0005309 .0014477 .0035388 .0077853 .45 . 46 .0000830 .0002745 .0008059 .0021103 .0049546 .0104694 . 46 .47 .0001341 .0004262 .0012014 .0030223 .0068162 .0138354 .47 . 48 .0002128 .0006500 .0017603 .0042541 .0092172 .0179735 .48 .49 .0003323 .0009744 .0025356 .0058872 .0122551 .0229594 .49 • 5^ .0005098 .0014368 .0035919 .0080127 .0160253 .0288457 .50 136 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p I n=4l r=*25 n=^l r= 24 n=4l r-23 n=4l r = 22 n=41 r=21 n=4l r-20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .16 •JL7 .0000000 .0000000 .0000000 .0000001 .000000*1 .0000022 .17 .18 .0000000 .0000000 .0000001 .0000002 .0000011 .0000054 .18 .19 .0000000 .0000000 .0000001 .0000006 .0000029 .0000121 .19 .20 .0000000 .0000001 .0000003 ,0000015 .0000065 .0000260 .20 .21 .0000000 .0000002 .0000007 .0000034 .0000141 .0000531 .21 .22 .0000001 .0000004 .0000017 .0000074 .0000290 .0001029 .22 .23 .0000002 .0000009 .0000038 .0000155 .0000570 .0001909 *23 .24 .000000^ .0000019 .0000080 .0000309 .0001073 .0003398 .24 .25 .0000009 .0000041 .0000162 .0000588 .0001940 .0005822 .25 .26 .0000020 .0000083 .0000313 .0001080 .0003381 .0009622 ,26 .27 .0000040 .0000163 .0000584 .0001913 .0005689 .0015382 .27 .28 .0000081 .0000307 .0001052 .0003276 .0009267 .0023829 .28 .29 .0000156 .0000562 . 0001834 .0005436 .0014638 .0035838 .29 .30 .0000290 .0000996 .0003098 .0008752 .0022463 .0052414 .30 .31 .0000523 .0001713 .0005084 .0013698 .0033538 .0074649 ,51 .32 .0000917 .0002863 .0008114 .0020870 .0048785 .0103669 • 32 .33 .0001560 .0004659 .0012611 .0030995 .0069223 .0140544 ,33 .34 .0002587 .0007386 .0019116 .0044920 .0095917 .0186192 • 34 .35 .0004183 .0011424 .0028288 .0063594 .0129914 .0241270 .35 • 36 .0006601 .0017257 .0040906 .0088033 .0172152 .0306048 .36 .37 .0010178 .0025485 .0057858 .0119255 .0223361 .0380318 .38 .0015347 .0036823 .0080106 .0158216 .0283955 .0463295 .38 .39 .0022650 .0052097 .0108646 .0205711 .0353927 .0553578 .39 .40 .0032740 .0072222 .0144442 .0262278 .0432758 .0649137 .40 .41 .0046387 .0098164 .0188346 .0328096 .0519352 .0747360 .41 .42 .0064453 .0130892 .0241008 .0402888 .0612005 .0845151 .42 • 43 .0087877 .0171305 .0302772 .0485843 .0708427 .0939077 • 43 .44 .0117622 .0220149 .0373585 .0575571 .0805800 .1025563 .44 .45 .0154625 .0277921 .0452907 .0670092 .0900901 .1101101 • 45 .46 .0199715 .0344775 .0539649 .0766870 .0990261 .1162482 .46 .47 .0253527 .0420430 .0632135 .0862903 .1070367 .1207010 .47 .48 .0316408 .0504082 .0728119 .0954857 .1137872 .1232694 .48 .49 .0388319 .0594365 .0824834 .1039238 .1189821 .1238385 .49 .50 .0468742 .0689326 .0919102 .1112597 .1223857 .1223857 .50 137 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=4l r= 19 n=4l r= 18 n=4l r=17 n=4l r»16 n=4l r=15 n=4l r=14 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000003 .0000016 .08 .09 .0000000 .0000000 .0000000 .0000002 .0000011 .0000064 .09 .10 .0000000 .0000000 .0000001 .0000008 .0000041 .0000205 .10 .11 .0000000 .0000001 .0000005 .0000025 .0000128 .0000576 .11 .12 .0000001 .0000002 .0000016 .0000078 .0000352 .0001434 .12 .13 .0000002 .0000009 .0000047 .0000211 .0000868 .0003231 .13 .14 .0000005 .0000027 .0000124 .0000517 .0001956 .0006672 .14 .13 .0000015 .0000071 .0000302 .0001164 .0004061 .0012783 .15 .16 .0000040 .0000173 .0000682 .0002432 .0007855 .0022927 .16 .17 .0000097 .0000392 .0001432 .000 4757 .0014291 .0038765 .17 .18 .0000220 .0000828 .0002830 .0008768 .0024578 .0062206 .18 .19 .0000469 .0001654 .0005285 .0015323 .0040200 .0095211 .19 .20 .0000946 .0003138 .0009383 .0025520 .0062821 .0139600 .20 .21 .0001813 .0005636 .0015901 .0040677 .0094169 .0196806 .21 .22 .0003317 .0009715 .0025830 .0062272 .0135865 .0267615 .22 .23 .0005810 .0016069 .0040346 .0091850 .0189229 .0351946 ,23 .24 .0009783 .0025593 .0060781 .0130883 .0255054 .0448707 .24 .25 .0015877 .0039348 .0088533 .0180608 .0333429 .0555715 .25 .26 .0024898 .0058539 .0124958 .0241841 .0423580 .0669762 .26 .27 .0037808 .0084444 .0171233 .0314815 .0523795 .0786769 .27 .28 .0055704 .0118327 .0228203 .0399029 .0631431 .0902044 .28 .29 .0079765 .0161324 .0296225 .0493163 .0743014 .1010614 .29 .30 .0111180 .0214304 .0375033 .05950,52 .0854433 .1107599 .30 .31 .0151050 .0277737 .0463641 .O7OI743 .0961196 .1188576 .31 .32 .0200269 .0351559 .0560297 .0809629 .1058746 .1249908 .32 .33 .0259404 .0435076 .0662502 .0914654 .1142784 ,1288999 .33 .3^ .0328575 .0526895 .0767098 .1012569 .1209585 .1304454 .34 .35 .0407337 .0624922 .0870426 .1099224 .1256256 .1296138 .35 .36 .0494623 .0726404 .0968538 .1170854 .1280935 .1265122 .36 .37 .0588698 .0828051 .1057443 .1224349 .1282893 .1213547 •3Z .38 .0687184 .0926205 .1133382 .1257458 .1262549 .1144416 .38 .39 .0787139 .1017051 .1193079 .1268946 .1221392 .1061324 •?9 .40 .0885187 .1096863 .1233970 .1258649 .1161830 .0968192 .40 .41 .0977699 .1162249 .1254379 .1227455 .1086977 .0868993 .41 .42 .1061011 .1210388 .1253616 .1177205 .1000409 .0767509 .42 .43 .1131658 .1239217 .1232012 .1110530 .0905907 .0667140 .^3 .44 .1186602 .1247574 .1190866 .1030640 .0807215 .0570758 .44 .45 .1223445 .1235266 .1132328 .0941090 .0707828 .0480624 . 46 .1240593 .1203070 .1059224 .0845538 .0610823 .0398363 .46 .47 .1237360 .1152657 .0974853 .0747526 .0518741 .0324979 .47 .48 .1214017 .1086457 .0882747 .0650290 .0433526 .0260919 .48 .49 .1171756 .1007481 .0786452 .0556616 .0356513 .0206147 .49 .50 .1112597 .0919102 .0689326 .0468742 .0288457 .0160253 . 50 138 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 » 1 1 n=4l r=13 n=41 r =12 n=4l r = 11 n=4l r=10 n=4l r- 9 n=4l r- 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000013 .02 .03 .0000000 .0000000 .0000000 .0000003 .0000026 .0000229 .03 .04 .0000000 .0000000 .0000004 .0000033 .0000249 .0001628 .04 • 05 .0000001 .0000004 .0000033 .0000223 .0001326 .0005868 .05 .06 .0000004 .0000028 .0000179 .0000996 .0004875 .0020828 .06 .07 .0000022 .0000134 .0000708 .0003339 .0013862 .0050228 .07 .08 .0000094 .0000484 .0002224 .0009078 .0032622 .OIO23I5 .08 .09 .0000319 .0001448 .0005855 .0021006 .0066374 .0183033 .09 .10 .0000922 .0003720 .0013394 .0042772 .0120297 .0295274 .IQ .11 .0002328 .0008445 .0027329 .0078463 .0198384 .0437759 .11 .12 .0005259 .0017287 .0050709 .0131953 .0302393 .0604785 .12 .13 .0010810 .0032428 .0086810 .0206146 .0431122 .0786873 .15 .14 .0020494 .0056435 .'0138667 .0302257 .0580226 .0972066 .14 .15 .0036218 .0092002 .0208537 .0419318 .0742542 .1147566 .15 .16 .0060171 .0141609 .0297380 .0553990 .0908889 .1301365 .16 .17 .0094630 .0207112 .0404477 .0700736 .10.69137 .1423610 .17 .18 .0141689 .0289351 .0527262 .0852312 .1213361 .1507509 .18 .19 .0202948 .0387848 .0661383 .1000497 .1332899 .1549734 .19 .20 .0279201 .0500637 .0801019 .1136930 .1421162 .1550359 .20 .21 .0370184 .0624267 .0939373 .1253940 .1474126 .1512416 .21 .22 .0474407 .0753996 .1069303 .1345252 .1*190477 .1441206 .22 .23 .0589129 .0884134 .1183971 .1406485 .1471458 .1343505 *23 .24 .0710451 .IOO8515 .1277452 .1435416 .1420464 .1226765 .24 .25 .0833572 .1121011 .1345213 .1432001 .1342501 .1098410 .25 .26 .0953125 .1216054 .1384432 .1398173 .1243568 .0965286 .26 .27 .1063597 .1289084 .1394120 .1337490 .1130055 .0833273 .27 .28 .1159770 .1336879 .1375075 .1254676 .1008223 .0707065 .28 .29 .1237130 .1357755 .1329663 .1155135 .0883778 .0590109 .29 .30 .1292198 .1351610 .1261503 .1044470 .0761592 .0484650 .30 .31 .1322770 • .1319827 .1175072 .0928075 .0645535 .0391865 -31 .32 .1328027 .1265061 .1075302 .0810812 .0538429 .0312045 .32 .33 .1308529 .1190940 .0967187 .0696791 .0442093 .0244795 • 33 .3^ .1266089 .IIOI727 .0855459 .0589245 .0357445 .0189237 .34 .35 .1203556 .1001975 .0744325 .0490499 .0284665 .0144181 • 35 .36 .1124552 .0896194 .0637294 .0402021 .02233^5 .0108288 .36 .37 .1033155 .0788588 .0537091 .0324503 .0172666 .0080182 .37 .38 .0933602 .0682834 .0445639 .0258002 .0131547 .0058535 .38 .39 .0830009 .0581961 .0364098 .0202077 .0098771 .0042133 •?9 .40 .0726144 .0488269 .0292962 .0155931 .0073092 .0029902 .40 .41 .0625250 .0403337 .0232165 .0118548 .0053310 .0020923 .41 .42 .0529947 .0328063 .0181215 .0088798 .0038321 .0014433 .42 .43 .0442175 .0262751 .0139320 .0065531 .0027146 .0009814 .43 .44 .0363210 .0207223 .0105495 .0047643 .0018949 .0006578 .44 .45 .0293715 .0160924 .0078674 ,0034120 .0013032 .0004344 .45 .46 .0233822 .0123045 .0057778 .0024068 .0008829 .0002827 .46 .47 .0183234 .0092625 .0041779 .0016718 .0005891 .0001812 .47 .48 .0141331 .0068635 .0029742 .0011433 .0003870 .0001144 .48 .49 .0107281 .0050054 .0020839 .0007697 .0002503 .0000710 .49 .50 .0080127 .0035919 .0014368 .0005098 .0001593 .0000434 .50 139 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=4l r=7 n-4l r-6 n=4l r=5 n=4l r-4 n=4l r=* 3 n=4l r = 2 p .01 .0000002 .0000031 .0000522 .OOO6982 .0072761 .0554097 .01 .02 .0000144 .0001419 .0011588 .0076730 .0395766 .1491732 .02 .03 .0001746 .0011287 .0060828 .0265779 .0904579 .2249853 .03 .04 .0009194 .0044128 .0176513 .0572475 .1446252 .2670004 .04 .05 .0031706 .0116684 .0369498 .0948712 .1897423 .2773157 .05 .06 .0076778 .0200573 .0668162 .1329892 .2193155 .2643034 .06 .07 .0157014 .0417211 .0923823 .1658662 .2319548 .2370527 .07 .08 .0276854 .0636763 .1220461 . 1896664 .2295962 .2031043 .08 .09 .0435451 .0880577 .1483936 .2027601 .2158030 .1678469 .09 .10 .0625286 .1125516 .1688274 .2053306 .1945237 .1346703 .10 .11 .0833379 .1348560 .1818512 .1988299 .1693385 .1053924 .11 .12 .1043550 .1530540 .1870661 .1853807 .1431010 .0807236 .12 .13 .1239059 .1658432 .1849790 .1672887 .1178471 .0606668 .13 .14 .1405004 .1726147 .1767245 .1467019 .0948599 .0448239 .14 .15 .1530086 .1734099 .1637759 .1254141 .0748083 .0326088 .15 .16 .1607568 .1687947 .1476953 .1047838 .0579069 .0233855 .16 .17 .1635428 .1596947 .1299477 .0857365 .0440627 .0165485 .17 .18 .1615892 .1472257 .1117824 .0688151 .0329990 .0115638 .18 .19 .1554552 .1325443 .0941762 .0542551 .0243472 .0079843 .19 .20 .1459161 .1167329 .0778220 .0420659 .0177120 .0054498 .20 .21 .1338720 .1007228 .0631516 .0321041 .0127129 .0036788 .21 .22 .1202290 .0852532 .0503770 .0241363 .0090079 .0024566 .22 .23 .1058311 .0708608 .0395383 .0178875 .0063035“ .0016234 .23 .24 .0914060 .0578904 .0305533 .0130746 .0043582 .0010616 .24 .25 .0775349 .0465209 .0232604 .0094299 .0029779 .0006872 .25 .26 .0646436 .0367972 .0174550 .0067135 .0020113 .0004404 .26 .27 .0530099 .0286647 .0129167 .0047194 .0013431 .0002793 .27 .28 .0427804 .0220013 .0094292 .0032765 .0008869 .0001754 .28 .29 .0339941 .0166454 .0067921 .0022472 .0005791 .0001091 .29 • 50 .0266082 .0124172 .0048289 .0015226 .0003740 .0000671 .30 .51 ,0205227 .0091359 .0033892 .0010194 .0002388 .0000409 .31 .52 .0156022 .0066310 .0023484 .0006744 .0001509 .0000246 .32 • 55 .0116943 .0047486 .0016068 .0004409 .0000942 .0000147 .33 • 54 .0086433 .0033556 .OOIO856 .0002848 .0000582 .0000087 .34 • 55 .0063004 .0023401 .0007243 .0001818 .0000355 .0000051 .35 .56 .0045297 .0016106 .0004772 .0001146 .0000215 .0000029 .36 • 57 .0032124 .0010939 .0003104 .0000715 .0000128 .0000017 •ll .58 .0022472 .0007353 .0001994 .0000439 .0000076 .0000009 .38 • 59 .0015506 .0004851 .0001264 .0000267 .0000044 .0000006 .39 .40 .0010554 .0003166 .0000791 .0000161 .0000025 .0000003 .40 .41 .0007084 .0002039 .0000489 .0000095 .0000014 .0000002 .41 .42 .0004689 .0001295 .0000298 .0000056 .0000008 .0000001 .42 • 45 .0003061 .0000812 .0000179 .0000032 .0000005 .0000000 • 43 .44 .0001969 .0000.502 .0000106 .0000018 .0000003 .0000000 .44 • 45 .0001250 .0000305 .0000062 .0000011 .0000001 .0000000 • 45 .46 .0000780 .0000184 .0000036 .0000005 .0000001 .0000000 . 46 .47 .0000481 .0000108 .0000020 .0000004 .0000000 .0000000 .47 .48 .0000292 .0000063 .0000011 .0000002 .0000000 .0000000 .48 • 49 .0000174 .0000037 .0000006 .0000001 .0000000 .0000000 .49 • 30 .0000103 .0000020 .0000003 .0000001 .0000000 .0000000 . 50 140 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=4l r= 1 n*4l r = 0 n=42 r=37 n*42 r= 36 n=42 r=35 n-42 r=34 p .01 .2742785 .6622820 .0000000 .0000000 .0000000 .0000000 .01 .02 .3654743 .^367864 .0000000 .0000000 .0000000 .0000000 .02 .05 .3637261 .2868409 .0000000 .0000000 .0000000 .0000000 .03 .04 .3204005 .1875515 .0000000 .0000000 .0000000 .0000000 .04 .05 .2634500 .1220865 .0000000 .0000000 ,0000000 .0000000 .05 .06 .2070376 .0791119 .0000000 .0000000 .0000000 .0000000 .06 .07 .157^707 .0510271 .0000000 .0000000 .0000000 .0000000 .07 .08 .1167849 .0327568 .0000000 .0000000 .0000000 .0000000 .08 .09 .0848559 .0209265 .0000000 .0000000 .0000000 .0000000 .09 .10 .0606016 .0133028 .0000000 .0000000 .0000000 .0000000 .10 .11 .0426360 .0084138 .0000000 .0000000 .0000000 .0000000 .11 .12 .0295986 .0052941 .0000000 .0000000 .0000000 .0000000 .12 .13 .0203001 .0033135 .0000000 .0000000 .0000000 .0000000 .13 .14 .0137673 .0020627 .0000000 .0000000 .0000000 .0000000 .14 .15 . .0092391 .0012770 .0000000 .0000000 .0000000 .0000000 .15 .16 .0061386 .0007861 .0000000 .0000000 .0000000 .0000000 .16 .17 .0040397 .0004811 .0000000 f0000000 .0000000 .0000000 .17 .18 .0026339 .0002927 .0000000 .0000000 .0000000 .0000000 .18 .19 .0017019 .0001770 .0000000 .0000000 .0000000 .0000000 .19 .20 .0010900 .0001063 .0000000 .0000000 .0000000 .0000000 .20 .21 .0006920 .0000635 .0000000 .0000000 .0000000 .0000000 .21 .22 .0004355 .0000377 .0000000 .0000000 .0000000 .0000000 .22 .23 .0002717 .0000222 .0000000 .0000000 .0000000 .0000000 .23 .24 .0001681 .0000130 .0000000 .0000000 .0000000 .0000000 .24 .25 .0001031 .0000075 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000626 .0000044 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000378 .0000025 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000226 .0000014 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000133 .0000008 .0000000 .0000000 .0000000 .0000000 .29 • 30 .0000079 .0000004 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000046 .0000002 .0000000 .0000000 .0000000 .0000000 .51 .32 .0000027 .0000001 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000015 .0000001 .000000c .0000000 .0000000 .0000000 .33 .34 .0000009 .0000000 .0000000 .0000000 .0000000 .0000000 .3* • 35 .0000005 .0000000 .0000000 .0000000 .0000000 .0000000 .35 • 36 .0000003 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000001 .0000000 .0000000 .0000000 .0000000 .0000000 .38 .0000001 .0000000 .0000000 .0000000 .0000000 .0000000 .38 .39 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .40 .0000000 .0000000 .0000000 .0000000 .0000000 .OOtJOOOl .40 .41 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 . 41 .42 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .42 .43 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .^3 .44 ,0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .44 .45 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .45 . 46 .0000000 ,0000000 .0000000 .0000001 .0000006 .0000029 . 46 .47 .0000000 .0000000 .0000000 .0000002 .0000011 .0000052 .47 ). 0 .48 .0000000 .0000000 .0000001 .0000003 .0000019 .0000092 . 48 .49 .0000000 .0000000 .0000001 .0000007 .0000034 .0000159 .49 • 50 .0000000 .0000000 .0000002 .0000012 .0000061 .0000269 .50 141 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n*42 r»33 n a*42 r=j2 n=42 r= 31 n-42 r = 3C n-42 r=29 n=42 r=28 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000600 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 • 25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .opooooo .0000000 .0000000 .0000000 ,26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .30 .51 .0000000 .0000000 .0000000 .0000001 .0006003 .0000017 .31 .32 .0000000 .0000000 .0000000 . Q 000002 .0000007 .0000034 .32 .33 .0000000 .0000000 .0000001 .0000003 .0000015 .0000064 .33 .34 .0000000 .0000000 .0000002 .0000006 .0000030 .0000120 .34 .35 .0000000 .0000001 .0000002 .0000014 .0000056 .0000218 .35 • 36 .0000000 .0000001 .0000006 .0000025 .0000105 .0000386 .36 .37 .0000000 .0000003 .0000011 .0000048 .0000189 .0000666 .37 .38 .0000001 .0000004 .0000021 .0000089 .0000332 .0001123 .38 .39 .0000002 .0000009 .0000039 .0000158 .0000572 .0001851 .39 .40 .0000003 .0000016 .0000072 .0000278 .0000960 .0002985 .40 .41 .0000007 .0000030 .0000128 .0000476 .0001580 .0004710 .41 .42 .0000012 .0000056 .0000224 .0000798 .0002545 .0007279 .42 .43 .0000023 .0000100 .0000383 ..0001313 .0004016 .0011028 .43 .44 .0000042 .0000174 .0000643 ..0002116 .0006215 .0016385 .44 .45 .0000073 .0000298 .0001060 .0003345 .0009435 .0023887 .45 .46 .0000129 .0000501 .0001712 .0005189 .0014059 .0034187 .46 .47 .0000222 .0000827 .0002714 .0007906 .0020572 .0048054 .47 .48 .0000375 .0001341 .0004227 .0011830 .0029573 .0066353 .48 .49 .0000622 .0002136 .0006469 .0017395 .0041779 .0090074 .49 .50 .0001014 .0003345 .0009733 .0025143 .0058023 .0120191 .50 142 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=42 r=.27 n=42 r = 26 n-42 r=25 n=42 r-24 n=42 r-23 n-42 v - 22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000060 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 . 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .14 .‘0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .OpOOOOO .0000000 .0000000 .0000001 .16 .17 .0000000 . QOQOOOO .0000000 .0000000 .0000000 .0000002 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .18 .19 .0000000 .0000000 .6000000 .0000000 .0000003 .0000010 .19 .20 .0000000 .0000000 .0000000 .0000001 .0000006 .0000025 .20 .21 .0000000 .0000000 .0000001 .0000002 .0000013 .0000057 .21 .22 .0000000 .0000000 .0000002 .0000006 .0000030 .0000122 .22 .23 .0000000 .0000001 .0000003 .0000015 .0000066 .0000250 .23 .24 .0000000 .0000002 .0000008 .0000033 .0000135 .0000492 .24 .25 .0000001 .0000004 .0000017 .0000070 .0000269 .0000926 .25 .26 .0000002 .0000008 .0000036 .0000143 .0000513 .0001678 ,26 .27 .0000004 .0000018 .0000073 .0000276 .0000943 .0002935 .27 .28 .0000009 .0000036 .0000145 .0000515 .0001676 .0004953 .28 .29 .0000017 .0000074 .0000273 .0000931 .0002878 .0008105 .29 • 30 .0000036 .0000141 .0000502 .0001626 .0004795 .0012865 .50 .31 .0000070 .0000262 .0000892 .0002758 .0007755 .0019848 .51 .32 .0000132 .0000474 .0001539 .0004543 .0012196 .0029804 .52 .33 .0000243 .0000832 .0002583 .0007283 .0018678 .0043610 .55 .34 .0000434 .0001421 .0004218 .0011374 .0027890 .0062259 .54 .35 .0000754 .0002365 .0006718 .0017326 .0040645 .0086806 .55 • 36 .0001279 .0003839 .0010437 .0025771 .0057872 .0118315 .56 .37 .0002117 .0006083 .0015841 .0037464 .0080574 .0157774 .57 .38 .0003422 .0009421 .0023508 .0053270 .0109788 .0205997 .58 .39 .0005406 .0014270 .0034133 .0074152 .0146501 .0263515 .59 .40 .0008358 .0021155 .0048533 .0101110 .0191576 .0330470 .40 .41 .0012652 .0030722 .0067615 .0135139 .0245644 .0406511 .41 .42 .0018765 .0043729 .0092358 .0177140 .0308998 .0490717 .42 .43 .0027288 .0061040 .0123751 .0227836 .0381492 .0581554 .43 .44 .0038926 .0083602 .0162733 .0287661 .0462459 .0676872 .44 .45 .0054497 .0112400 .0210108 .0356665 .0550640 .0773956 .45 .46 .0074915 .0148403 .0266442 .0434418 .0644170 .0869630 . 46 .47 .0101152 .0192486 .•0331971 .0519931 .0740596 .0960411 .47 .48 .0134203 .0245338 .0406492 .0611619 .0836955 .1042705 . 48 .49 .0175002 .0307369 .0489282 .0707295 .0929892 .1113023 .49 • 50 .0224355 .0378599 .0579034 .0804214 .1015850 .1168227 .50 143 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n=42 r= 21 n=42 r=20 n=42 r=19 n=42 r=l8 n=42 r-17 n-42 r-16 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .000000c .02 .03 .0000000 .0000000 .0000000 .0000000 . 6000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0006000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .6000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .6000000 .0000,001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000007 .0000037 .11 .12 .0000000 .0000000 .0000001 .0000004 .0000023 .0000111 .12 .13 .0000000 .0000001 .0000002 .0000014 .0000068 .0000297 .13 .14 .0000000 .0000002 .0000008 .0000041 .0000179 .0000718 .14 .15 .0000001 .0000005 .0000023 .0000106 .0000432 .0001598 • 15 .16 .0000002 .0000014 .0000061 .0000254 .0000962 .0003301 .16 .17 .0000007 .0000035 .0000147 .0000568 ; 0001998 .0006377 .17 .18 .0000019 .0000083 .0000330 .0001189 .0003898 .0011614 .18 .19 .0000046 .0000187 .0000695 .0002343 .0007193 .0020049 .19 .20 .0000104 .0000397 .0001383 .0004378 .0012611 .0032980 .20 .21 .0000223 .0000799 .0002617 .0007791 .0021105 .0051910 .21 .22 .0000453 .0001532 .0004724 .0013259 .0033846 .0078463 .22 .23 .0000878 .0002806 .0008170 .0021653 .0052192 .0114247 .23 .24 .0001631 .0004931 .0013577 .0034038 .0077606 .0160684 .24 .25 .0002911 .0008335 .0021745 .0051645 .0111551 .0218813 .25 .26 .0005004 .0013594 .0033644 .0075808 .0155347 .0289093 ,26 .27 .0008306 .0021437 .0050400 .0107877 .0210000 .0371239 .27 .28 .00133^4 .0032754 .0073239 .0149092 .0276034 .0464102 .28 .29 .0020786 .0048577 .0103417 .0200445 .0353337 .0565620 .29 .30 .0031448 .0070044 .0142117 .0262523 .0441039 .0672866 .30 .31 .0046283 .0098333 .0190323 .0335366 .0537453 .0782173 .31 .32 .0066347 .013^581 .0248682 .0418355 .0640083 .08893^7 .32 .33 .0092759 .0179767 .0317376 .0510127 .0745712 .0989937 • 33 .34 .0126610 .0234602 .0396004 .0608564 .0850559 .1079554 .34 .35 .0168889 .0299393 .0483492 .0710848 .0950506 .1154185 • 35 .36 .0220355 .0373935 .0578065 .0813571 .1041372 .1210484 • 36 .37 .0281436 .0457418 .0677259 .0912926 .1119198 .1246010 .37 .38 .0352104 .0548373 .0778012 .100^932 .1180531 .1259393 .38 .39 .0431791 .0644667 .0876805 .1085702 .1222667 .1250400 .39 .40 .0519310 .0743557 .0969857 .1151706 .1243841 .1219922 .40 .41 .0612835 .0841799 .1053364 .1200022 .1243340 .1169859 .41 .42 .0709926 .0935813 .1123749 .1228544 .1221523 .1102951 .42 • ^3 .0807607 .1021887 .1177908 .1236119 .1179775 .1022542 .43 .44 .0902495 .1096421 .1213430 .1222622 .1120367 .0932333 .44 .45 .0990991 .1156156 .1228765 .1188944 .1046270 .0836122 .45 . 45 .1069483 .1198412 .1223333 .1136901 .0960929 .0737569 .46 .47 .1134590 .1221274 .1197550 .1069089 .0868009 .0639997 .47 .48 .1183386 .1223729 .1152789 .0988676 .0771167 .0546244 .48 .49 .1213617 .1205737 .1091261 .0899177 .0673833 .0458565 .49 .50 .1223856 .1168227 .1015850 .0804214 .0579034 .0378599 • 50 144 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=42 r=15 n=42 r- 14 n=42 r=l3 n»42 r=12 n=42 r=11 n=42 r=10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 *0000000 .0000000 .0000000 .0000000 ,02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .03 .04 .0000000 .0000000 .0000000 .0000001 .0000005 .0000041 .04 .05 .0000000 .0000000 .0000001 .0000006 .0000042 .0000279 .05 .06 .0000000 .0000001 .0000005 .OOOOO38 .0000228 .0001229 .06 .07 .0000001 .0000004 .0000031 .0000173 .0000892 .0004076 .07 .08 .0000003 .0000023 .0000125 .0000623 .0002772 .0010962 .08 .09 .0000016 .0000086 .0000421 .0001845 .0007218 .00,25090 .09 .10 .0000057 .0000277 .0001202 .0004688 .0016331 .0050524 .10 .11 .0000178 .0000768 .0003001 .0010522 .0032954 .0091654 .11 .12 .0000*182 .0001893 .0006702 .0021298 .0060459 .0152406 .12 .13 .0001175 .0004216 .0013620 .0039499 .0102323 .0235393 • 13 .14 .0002616 .0008607 .0025526 .0067947 .0161570 .0341173 .14 .15 .0005369 ,0016298 .0044586 .0109482 .0240155 .0467802 .15 .16 .0010269 .0028882 .0073201 .0166533 .0338437 .0610774 .16 .17 .0018452 .0048262 .0113752 .0240664 .0454841 .0763364 • 17 .18 .0031351 .0076513 .0168268 .0332175 .0585771 .0917301 .18 .19 .0050652 .0115681 .0238079 .0439820 .0725815 .1063653 .19 .20 .0078177 .0167520 .0323489 .0560713 .0868201 .1193776 .20 .21 .0115722 .0233216 .0423541 .0690439 .1005432 .1300180 .21 .22 .0164850 .0313109 .0535917 .6823363 .1130012 .1377202 .22 .23 .0226653 .0406499 .0656980 .0953096 .1235150 .1421428 .23 .24 .0301531 .0511525 .0781987 .1073059 .1315364 .1431827 .24 .25 .0389000 .0625180 .0905432 .1177061 .1366910 .1409627 .25 .26 .0487588 .0743437 .1021486 .1259833 .1388004 .1357976 ,26 .27 .0594798 .0661513 .1124478 .1317444 .1378831 .1281482 .27 .28 .0707202 .0974208 .1209360 .1347574 .1341363 .1185670 .28 .29 .0820618 .1076304 .1272111 .1349608 .1279050 .1076442 .29 .30 .0930383 .1162978 .1310022 .1324578 .1196393 .0959606 .30 .3! .1031684 .1230176 .1321858 .1274953 .I098503 .0840488 -31 .32 .1119917 .1274907 .1307878 .1204337 .0990665 .0723650 .32 .33 .1191035 .1295444 .1269725 .1117101 .0877956 .0612741 .33 .34 .1241841 .1291409 .1210206 .1017996 .0764946 .0510433 .34 .35 .1270215 .1263733 .1133003 .0911798 .0655486 .0418457 .35 • 36 .1275242 .1214516 .1042344 .0802990 .0552596 .0337697 .36 .37 .1257235 .1146803 :0942665 .0695534 .0458433 .0268324 .37 .38 .1217658 .1064306 .083831! .0592700 .0374337 .0209949 .38 .39 .1158965 .0971111 .0733271 .0496994 .0300910 .0161787 .39 .40 .1084375 .0871373 .0630994 .0410146 .0238149 .0122796 .40 .41 .0997604 .0769058 .0534266 •0333157 .0185581 .0091801 .41 .42 .0902591 .0667733 .0445155 .0266387 .0142400 .0067598 .42 .*3 .0803237 .0570405 .0365023 .0209676 .0107590 .0049026 .43 .44 .0703174 .0479436 .0294576 .0162463 .0080040 .0035018 .44 .45 .0605587 .0396515 .0233959 .0123911 .0058625 .0024631 .45 .46 .0513091 .0322674 .0182865 .0093022 .0042271 .0017058 .46 .47 .0427673 .0258359 .0140647 .0068728 .0030001 .0011629 .47 .48 .0350674 .0203517 .0106437 .0049966 .0020954 .0007803 .48 .49 .0282834 .0157703 .0079240 .0035739 .0014399 .0005151 .49 .50 .0224355 .0120191 .0058023 .0025143 .0009733 .0003345 • 50 145 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=42 r= 9 n=42 r= 8 n=42 r- 7 n=42 r=6 n»42 r= 5 n=42 r= 4 p .01 .0000000 .0000000 .0000002 .0000036 .OOOO587 .0007640 .01 .02 .0000001 .0000015 .0000171 .0001622 .0012891 .OO83IIO .02 .03 .0000032 .0000275 .0002031 .0012774 .0066976 .0284943 .03 .04 .0000304 .0001931 .0010591 .0049423 .0192352 .0607426 .04 .05 .0001602 .0008061 .0035005 .0129324 .0398459 .0996147 .05 .06 .0005831 .0024186 .OO806O6 .0263828 .O670265 . 1381688 .06 .07 .0016408 .0057703 .0175228 .0452673 .0975258 .1704868 .07 .08 .0038197 .0116279 .0305646 .0683458 .1274559 .1928607 .08 .09 .0076873 .0205751 .0475512 .0934879 .1532866 .2039339 .09 .10 .0137795 .0328276 .0675309 .1181792 .1724777 .2042499 .10 .11 .0224716 .0481276 .0890050 .1400254 .1837189 .1955359 .11 .12 .0338679 .0657437 .1101989 .1571355 . 1868638 .1803071 .12 .13 .0477370 .0845657 .1293577 .1683309 .1826792 .1608613 .13 .14 .O635083 .1032678 .1449963 .1731901 .1725214 .]394440 .14 .15 .0803295 .1204944 .1560688 .1719648 .1580216 .1178232 .15 .16 .0971686 .1350357 .1620429 .1654187 .1408295 .0972835 .16 .17 ' .1129397 .1459620 . 1628886 •1546377 .1224318 .0786519 .17 .18 .1266307 .1527018 .1590038 .1408459 .1040484 .0623631 .18 .19 .1374097 .1550646 .1511005 .1252544 .0865912 .0485726 .19 .20 .1447002 .1532119 .1400795 .1089507 .0706708 .0371951 .20 .21 .1482167 .1475939 .1269107 .0928329 .0566316 .0280319 .21 .22 .1479638 .1388644 .1125343 .0775805 .0446040 .0208080 .22 • 23 .1442029 .1277910 .0977880 .0636566 .0345586 .0152232 .23 .24 .1373977 .1151715 .0833623 .0513295 .0263584 .0109327 .24 • 25 .1281478 .1017644 .0697814 .0407058 .0198028 .0078169 .25 .26 .1171214 .0882386 .0574035 .0317682 .0146622 .0054910 ,26 .27 .1049924 .0751416 .0464367 .0244127 .0107035 .0038077 .27 .28 .0923898 .0628872 .0369623 .0184811 .0077064 .0026074 .28 .29 .0798614 .0517560 .0289630 .0137879 .0054741 .0017634 .29 .30 .0678510 .0419080 .0223509 .0101407 .0038370 .0011780 • 30 .31 .0566897 .0334008 .0169928 .0073544 .0026545 .0007774 .31 .32 .0465987 .0262117 .0127314 .0052606 .0018128 .0005068 • 32 .33 .0376984 .0202604 .0094022 .0037118 .0012221 .0003265 .33 .34 .0300255 .0154283 .0068455 .0025838 .0008134 .0002077 .34 .35 .0235496 .0115768 .0049143 .0017746 .0005344 .0001306 • 35 • 36 .0181925 .OO856II .0034788 .0012026 .0003467 .0000811 .36 .37 .0138447 .0062400 .0024285 .0008041 .0002220 .0000497 •37 .38 .0103802 .0044831 .0016719 .0005304 .0001404 .OOOO3UI .38 .39 .0076683 .0031748 .OOII351 .0003452 .0000875 .0000180 •39 .40 .0055816 .0022162 .0007599 .0002216 .0000539 .0000107 .40 .41 .0040032 .0015248 .0005016 .0001403 .0000328 .0000062 .41 .42 .0028288 .0010340 .0003264 .0000876 .0000197 .0000035 .42 .43 .0019693 .0006910 .0002094 .0000540 .0000116 .0000020 .43 .44 .0013505 .0004550 .0001324 .0000327 .0000068 .OOOOOll .44 .45 .0009122 .0002952 .0000824 .0000196 .0000039 .0000006 • 45 . 46 .0006068 .0001886 .0000506 .0000115 .0000022 .0000004 .46 .47 .0003974 .0001186 .0000306 .0000067 .0000012 .0000002 ,47 .48 .0002561 .0000735 .0000182 .0000038 .0000007 .0000001 .48 .49 .0001625 .0000448 .0000106 .0000022 .0000003 .0000001 .49 • 50 .0001014 - ■ ■ - - .0000269 .0000061 .0000012 .0000002 .0000000 • 30 146 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p | n=42 r= 3 n=42 r= 2 n=42 r- 1 n=42 r~ 0 n=43 r= 38 n=43 r*>7 p .01 .0077574 .0575984 .2781585 .6556592 .0000000 .0000000 .01 .02 .0417685 .1534993 .3669005 .4280507 .0000000 .0000000 .02 .03 .0944938 .2291475 .3614195 .2782357 .0000000 .0000000 .03 .04 .1495202 .2691364 .3150866 .1800494 .0000000 .0000000 .04 .05 .1941210 .2766224 .2563818 .1159822 .0000000 .0000000 .05 .06 .2220148 .2608674 .1993621 .0743652 ..0000000 .0000000 .06 .07 .2323116 .2314820 .1500197 .0474552 .0000000 .0000000 .07 .08 .2274768 .1961988 .1100627 .0301362 .0000000 .0000000 .08 .09 .2114870 .1603777 .0791023 .0190431 .0000000 ..0000000 .09 .10 .1885383 .1272634 .0558718 .0119725 .0000000 .0000000 .10 .11 .1623043 .0984893 .0388716 .0074882 .0000000 .0000000 .11 .12 .1356157 .0745886 .0266821 .0046588 .0000000 .0000000 .12 .13 .1104137 .0554191 .0180918 .0028828 .0000000 .0000000 .13 .14 .0878548 .0404760 .0121287 .0017739 .0000000 .0000000 .14 .15 .0684784 .0291034 .0080448 .OOIO854 .0000000 .0000000 .15 .16 .0523835 .0206260 .0052822 .0006603 .0000000 .0000000 .16 .0393854 .0144219 .0034348 .0003993 .0000000 .0000000 .17 .18 .0291407 .0099564 .0022125 .0002400 .0000000 .0000000 .18 .19 .0212382 .0067907 .0014122 .0001433 .0000000 .0000000 .19 .20 .0152595 .0045779 .0008932 .0000851 .0000000 .0000000 .20 .21 .OIO8158 .0030516 .0005599 .0000502 .0000000 .0000000 .21 .22 .0075666 .0020120 .0003480 .0000294 .0000000 .0000000 .22 • 23 .0052271 .0013125 .0002143 .0000171 .0000000 .0000000 *23 .24 .0035670 .0008472 .0001308 .0000099 .0000000 .0000000 .24 .25 .0024052 .0005411 .0000792 .0000057 .0000000 .0000000 .25 .26 .0016028 .0003422 .0000475 .0000032 .0000000 .0000000 .26 .27 .0010559 .0002141 .0000283 .0000018 .0000000 .0000000 .27 .28 .0006877 .0001326 .0000167 .0000010 .0000000 .0000000 .28 .29 .0004428 .0000813 .0000097 .0000006 .0000000 .0000000 .29 • 30 .0002819 .0000494 .0000056 .0000003 .0000000 .0000000 .30 .31 .0001775 .0000296 .0000032 .0000002 .0000000 .0000000 .31 .32 .0001105 .0000176 .0000018 .0000001 .0000000 .0000000 .32 .33 .0000680 .0000103 .0000011 .0000000 .0000000 .0000000 .33 .34 .0000414 .0000060 .0000006 .0000000 .0000000 .0000000 .34 .35 .0000249 .0000035 .0000003 .0000000 .0000000 .0000000 .35 .36 .0000148 .0000019 .0000002 .0000000 .0000000 ,0000000 .36 .37 .0000087 .0000011 .0000001 .0000000 .0000000 .0000000 'll .38 .0000050 .0000006 .0000001 .0000000 .0000000 .0000000 .38 .39 .0000029 .0000004 .0000000 .0000000 .0000000 .0000000 .39 .40 .0000016 .0000002 .0006000 .0000000 .0000000 .0000000 .40 .41 .0000009 .0000001 .0000000 .0000000 .0000000 .0000000 .41 .42 .0000005 .0000001 .0000000 .0000000 .0000000 .0000000 .42 • (*3 .0000003 .0000000 .0000000 .0000000 .0000000 .0000000 .43 .44 .0000002 .0000000 .0000000 .0000000 .0000000 .0000000 .44 .45 .0000001 .0000000 .0000000 .0000000 .0000000 .0000000 .^5 . 46 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 . 46 .47 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .47 .48 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .48 .49 .OQOOOOO .0000000 .0000000 .0000000 .0000001 .0000003 .49 . 50 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .50 147 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n-43 r-36 n=43 r-35 n-43 r=34 n=43 r=33 n=43 r=32 n=43 r*31 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .oooocoo .14 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 . 000000,0 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .OOOOOO0 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0003000 .0000000 .0000000 .0000000 .28 .29 .oooocoo .0000000 .0000000 .0030000 .0000000 .0000000 .29 • 30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .oooocoo .0000000 .000000Q .0030000 .0000000 .0000000 .51 • 32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .52 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .53 .34 .0000000 .oocoooo .0000000 .0003000 .0000001 .0000003 .35 .0000000 .0000000 .0000000 .0000000 .0000002 .0000006 .35 • 36 .0000000 .0000000 .0000000 .0000001 .0000002 .0000013 .36 .37 .0000000 .0000000 .0000000 .0000001 .0000006 .0000024 •37 .38 .0000000 .0000000 .0000000 .0000003 .0000010 .0000047 .38 .39 .0000000 .0000000 .0000001 .0000004 .0000021 .0000086 •39 .40 .0000000 .0000000 .0000002 .0000009 .0000038 .0000154 .40 .41 .0000000 .0000001 .0000003 .0000016 .0000071 .0000270 .41 .42 .0000000 .0000001 .0000007 .0000030 .0000127 .0000465 .42 .*3 .0000000 .0000003 .0000012 .0000056 .0000221 .0000783 . 43 .44 .0000001 .0000005 .0000023 .0000099 .0000381 .0001291 .44 .45 .0000002 .0000009 .0000042 .0000175 .0000640 .0002088 .45 . 46 .0000003 .0000016 .0000075 .0000301 .0001058 .0003311 . 46 .47 .0000006 .0000030 .0000132 .0000507 .0001714 .0005154 .47 .48 .0000011 .0000054 .0000228 .0000839 .0002726 .0007876 .48 .49 .0000021 .0000095 .0000385 .0001365 .0004259 .0011823 .49 • 5^ .0000037 .0000165 .0000641 .0002180 .0006539 .0017438 .50 148 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=45 r*5C n=43 r=29 n-43 r=28 n=43 r=27 n=43 r* 26 n-43 r-25 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 . 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .22 .25 .0000000 .0000000 .0000000 .0000000 .0000002 .0000006 .23 .24 .000000c .0000000 .0000000 .0000001 .0000003 .0000014 .24 .25 .000000c .0000000 .0000000 .0000002 .0000007 .0000030 .25 .26 .0000000 .0000000 .0000001 .0000003 .0000016 .0000064 .26 .27 .0000000 .000000^ .0000002 .0000008 .0000032 .0000129 .27 .28 .0000000 .0000001 .0000004 .0000016 .0000067 .0000248 .28 .29 .0000000 .0000002 .0000008 .0000034 .0000131 .0000464 .29 • 30 .0000001 .0000004 .0000016 .0000067 .0000249 .0000840 .30 .31 .0000002 .0000008 .0000033 .0000129 .0000458 .0001470 .31 .32 .0000005 .0000016 .0000065 .0000241 .0000815 .0002501 .32 .33 .0000007 .0000031 .0000123 .0000438 .0001409 .0004134 .33 .3* .0000014 .0000061 .0000226 .0000770 .0002372 .0006651 .34 .35 .0000028 .0000113 .0000406 .0001318 .0003888 .0010431 .35 .36 .000005^ .0000206 .0000707 .0002201 .0006214 .0015958 .36 .37 .0000101 .0000365 .0001203 .0003585 .0009693 .0023842 .37 .38 .0000181 .0000633 .0001997 .0005701 .0014774 .0034817 .38 .39 .0000519 .0001071 .0003238 .0008862 .0022017 .0049740 .39 .40 .0000551 .0001770 .0005134 .0013477 .0032106 .0069564 .40 .41 .0000929 .0002863 .0007966 .0020061 .0045848 .0095300 .41 .42 .0001552 .0004533 .0012104 .0029249 .0064153 .0127967 .42 .43 .0002476 .0007031 .0018020 .0041801 .0088006 .0168507 .43 .44 .0005920 .0010689 .0026303 .0058584 .0118420 .0217701 .44 -*5 .0006086 .0015938 .0037661 .0080554 .0156369 .0276058 .45 . 46 .0009270 .0023317 .0052922 .0108719 .0202701 .0343711 . 46 .47 .0015859 .0033488 .0073011 .0144079 .0258043 .0420313 .47 .48 .0020347 .0047232 .0098926 .0187548 .0322692 .0504953 .48 .49 .0029542 .0065444 .0131689 .0239862 .0396506 .0596109 .49 .50 .0041583 .0089106 .0172273 .0301477 .0478817 .0691624 .50 149 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P 9. p n-43 r=24 n=43 r=23 n =43 r=22 n=43 r=21 n=43 r=20 n=43 r=!9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 . 00000(50 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooto .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000002 .0000013 .14 .15 .0000000 .0000000 .0000000 .0000002 .0000007 .0000036 .15 .16 .0000000 .0000000 .0000001 .0000004 .0000021 .0000093 .16 .17 .0000000 .0000001 .0000002 .0000012 .0000054 .0000218 .17 .18 .0000000 .0000002 .0000006 .0000031 .0000128 .0000484 .18 .19 .0000001 .0000004 .0000017 .0000072 .0000284 .0001008 .19 .20 .0000002 .0000010 .OOO 0 O 4 O .0000163 .0000595 .0001982 .20 .21 .0000005 .0000022 .0000092 .0000344 .0001181 .0003703 .21 .22 .0000012 .0000050 .0000195 .0000690 .0002234 .0006602 .22 .23 .0000026 .0000108 .0000395 .0001322 .0004039 .0011271 .23 .24 .0000058 .0000220 .0000766 .0002423 .0007006 .0018487 .24 .25 .0000121 .0000432 .0001423 .0004267 .0011688 .0029219 .25 .26 .0000238 .0000816 .0602543 .0007237 .0018807 .0044607 ,26 .27 .0000456 .0001480 .0004384 .0011851 .0029257 .0065919 .27 .28 .0000840 .0002594 .0007302 .0018779 .0044090 .0094477 .28 .29 .0001496 .0004394 .0011782 .0028845 .0064481 .0131555 .29 • 30 .0002577 .0007215 .0018440 .0043027 .0091666 .0178239 • 30 • 31 .0004307 .0011504 .0028043 .0062418 .0126850 .0235286 -31 .32 .0006992 .0017830 .0041498 .0088182 ,0171093 .0302977 • 32 .33 .0011043 .0026906 .0059829 .0121472 .0225178 .0380984 .33 .34 .0016990 .0039575 .0084138 .0163328 .0289479 .0468274 • 34 .35 .0025488 .0056801 .0115535 .0214565 .0363828 .0563067 .35 .36 .0037327 .0079631 .0155050 .0275644 .0447421 .0662847 • 36 .37 .0053414 ,0109139 .0203528 .0346549 .0538760 .0764455 •37 .38 .0074748 .0146347 .0261517 .0426687 .0635636 .0864241 .38 .39 ..0102368 .0192137 .0329143 . 05 l 48 r 2 .0735201 .0958275 .39 .40 .0137296 .0247134 .0406006 .0609009 .0834077 .1042596 .40 .41 .0180446 .0311599 .6491104 .0706710 .0928541 .1113494 .41 .42 .0232520 .0385320 .0582785 .0804799 .1014745 .1167763 .42 .43 .0293908 .0467519 .0678757 .0899747 .1088977 .1202939 .43 .44 .0364572 .0556801 .0776146 .0987822 .1147905 .1217475 .44 .45 .0443954 .0651132 .0871622 .1065315 .1188830 .1210846 .45 . 46 .0530904 .0747882 .0961562 .1128791 .1209875 .1183574 . 46 .47 4, O .0623643 .0843909 .1042275 .1175332 .1210124 .1137173 .47 .48 .0719780 .0935713 .1110232 .1202751 .1189678 .1074014 .48 .49 .0816367 .1019626 .1162315 .1209755 .1149644 .0997140 .49 • 50 .0910032 .1092038 .1196042 .1196042 .1092038 .0910032 .50 150 BINOMIAL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n=43 r=l8 n=*J3 r-17 n=43 r =16 n=43 r=15 n=43 r=l4 n=43 r=13 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .06 .07 .0000000 .0000000 .0000000 .0000001 .0000007 .0000040 .07 .08 .0000000 .0000000 .0000001 .0000005 .0000031 .6000165 .08 .09 .0000000 .0000001 .0000004 .0000022 .0000116 .6000549 .09 .10 .0000001 .0000002 .0000016 .0000079 .0000369 .0001551 .10 .11 .0000002 .0000010 .0000053 .0000242 .0001014 .0003828 .11 .12 .0000007 .0000034 .0000155 .0000651 .0002471 .0008453 .12 .13 .0000021 .00000.98 .0000410 .0001571 .0005439 .0016984 .13 .14 .0000060 .00002 5*4 .0000984 .0003455 .0010976 .0031465 .14 .13 .0000155 .0000607 .0002164 .0007008 .0020541 .0054320 .15 .16 .000036 7, .0001336 .0004416 .0013247 .0035973 .0088134 .16 .17 .0000812 .0002742 .0008430 .0023520 .0059395 .0135327 .17 .18 .0001676 .0005288 .0015166 .0039481 .0093028 .0197772 .18 .19 .0003265 .0009635 .0025864 .0063008 ..0138936 .0276410 .19 .20 .0006025 .0016684 .0042020 .0096045 .0198714 .0370933 .20 .21 .0010587 .0027574 .0065310 .0140396 .0273184 .0479590 .21 .22 .0017788 .0043662 .0097468 .0197467 .0362127 .0599155 .22 .23 .0028677 .0066465 .0140100 .0268018 .0464109 .0725087 .23 .24 .0044495 .0097544 .0194487 .0351930 .0576436 .0851844 .24 .25 .0066622 .0138366 .0261360 .0448045 .0695243 .0973339 .25 .26 .0096488 .0190122 .0340701 .0554108 .0815730 .1083456 ,26 .27 .0135450 .6253535 .0431600 .0666811 .0932513 .1176579 .27 .28 .0184637 .0328693 .0532170 .0781963 .1040051 .1248060 .28 .29 .0244784 .0414899 .0639569 .0894767 .1133088 .1294585 .29 • 30 .0316078 .0510586 .0750122 .1000161 .1207092 .1314^88 .30 .31 .0398014 .0613316 .0859521 .1093217 .1258597 .1307318 • 31 • 32 .0489308 .0719848 .0963129 .1169514 .1285458 .1274745 *32 .33 .0587870 .0826306 .1056299 .1225490 .1286957 .1219359 .33 .34 .0690842 .0928417 .1134732 .1258694 .1263800 .1144855 .34 .35 .0794728 .1021793 .1194796 .1267946 .1217978 .1055581 .35 .36 .0895580 .1102252 .1233797 .1253381 .1152534 .0956176 ♦ 36 .37 .0989247 .1166119 .1250163 .1216375 .1071272 .0851226 .37 .38 .1071660 .1210499 .1243533 .1159384 .0978428 .0744979 .38 .39 .1139118 .1233483 .1214740 .1085703 .0878353 .0641123 • 39 .40 .II8856O .1234274 .1165703 .0999174 .0775221 .0542655 .40 .1217783 .1213212 .1099235 .0903900 .0672793 .0451811 .41 .42 .1225596 .1171722 .1018800 .0803951 .0574250 .0370073 .42 .43 .1211891 .1112164 .0928241 .0703119 .0482091 .0298224 . 43 .44 .1177629 .1037632 .0831503 . 060 4:7-30- .0398098 .0236446 .44 .45 .1124740 .0951704 .0732381 .0511505 .0323364 .0184438 .45 .46 .1055954 .0858183 .0634310 .0425499 .0258362 .0141537 . 46 .47 .09Y458I .0760844 .0540204 .0348096 .0203034 .0106845 .47 .48 .0884272 .0663204 .0452371 .0280038 .0156919 .0079331 .48 .1*9 .0788758 .0568352 .0372457 .0221520 .0119256 .0057924 .49 . 50 .0691624 .0478817 .0301477 .0172273 .0089106 .0041583 . 50 832939 0 - 50 - 11 151 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=43 r =12 n=43 r=ll n=43 r=lo n=43 r= 9 n=43 r* 8 n=43 r* 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .01 .02 .0000000 .0000000 .0000000 .0000002 .0000018 .0000199 .02 .03 .0000000 .0000000 .0000005 .0000039 .0000328 .0002354 •03 .04 .0000001 .0000006 ..0000053 .0000369 .0002277 .0012144 .04 .05 .0000008 .0000054 .0000345 .0001925 .0009408 .0039721 .05 .06 .0000049 .0000288 .0001504 .0006934 .0027930 .0097239 .06 .07 .0000224 .0001115 .0004939 .0019298 .0065930 .0194649 .07 .08 .0000794 .0003428 .0013140 .0044445 .0131427 .0335871 .08 .09 .0002328 .0008827 .0029750 .0088473 .0230029 .0516855 .09 .10 .0005852 .0019750 .0059252 .0156843 .0362979 .0725957 .10 .11 .0012990 .0039411 .0106291 .0252937 .0526242 .0946172 .11 .12 .0025997 .0071492 .0174759 .0376930 .0710783 .1158313 .12 .13 .0047666 .0119622 .0266850 .0525247 .0903887 .1344242 .13 .14 .0081054 .0186714 .0382321 .0690746 .1091098 .1489434 .14 .15 .0129083 .0274302 .0518126 .0863543 .1258305 .1584532 .15 .16 .0194038 .0382011 .0668520 .1032273 .1393569 .1625830 .16 .17 .0277074 .0507290 .0825589 .1185536 .1488394 .1614860 .17 .18 .0377822 .0645446 .0980122 .1313236 .1538361 .1557354 .18 .19 .0494159 .0790004 .1122638 .1407641 .1543114 .1461897 .19 .20 .0622211 .0933316 .1244422 .1464025 .1505854 .1338538 .20 .21 .0756588 .1067329 .1338397 .1480859 .1432505 .1197543 .21 .22 .0890826 .1184393 .1399738 .1459620 .1330718 .1048444 .22 .23 .1017969 .1277993 .1426167 .1404281 .1208904 .0899377 .23 .24 .1131212 .1343315 .1417944 .1320633 .1075373 .0756745 .24 .25 .1224524 .1377589 .1377589 .1215520 .0937687 .0625124 .25 .26 .1293158 .1380197 .1309417 .1096119 .0802215 .0507383 ,26 .27 .1334018 .1352547 .1218961 .0969327 .0673913 .0404902 .27 .28 .1345835 .1297769 .1112373 .0841291 .0556282 .0317876 .28 .29 .1329147 .1220293 .0995872 .0717108 .0451461 .0245622 .29 .30 .1286123 .1125357 .0875277 .0600681 .0360408 .0186879 • 30 .31 .1220253 .1018518 .0755675 .0494702 .0283142 .0140049 .31 .32 .1135962 .0905220 .0641198 .0400748 .0218981 .0103407 • 32 .33 .1038183 .0790435 .0534941 .0319439 .0166772 .0075244 .33 .34 .0931959 .0678412 .0438972 .0250624 .0125101 .0053966 • 34 .35 .0822089 .0572526 *0354420 .0193592 .0092449 ,0038154 .35 • 36 .0712849 .0475232 .0281619 .0147252 .0067315 .0026594 .36 •37 .0607807 .0388093 .0220269 .OIIO3IO .0048297 .0018275 •£/ .38 .0509722 .0311869 .0169614 .0081393 .0034148 .0012382 .38 .39 .0420521 .0246652 .0128596 .0059159 .0023793 .0008270 .39 .40 .03^1347 .0192008 .0096004 .0042355 .0016337 .0005445 .40 • 4 J. .0272651 .0147132 .0070575 .0029871 .0011053 .0003534 .41 .42 .0214312 .0110983 *0051088 .0020750 .0007368 .0002261 .42 .43 .0165779 .0082407 .0036413 .0014197 .0004839 .0001425 • 43 .44 .0126197 .OO6023O .0025552 .0009565 .0003131 .OOOO885 .44 .45 .0094533 .0043327 .0017652 .0006345 .0001995 .0000541 .45 .46 .0069677 .0030673 .0012002 .0004145 .0001250 .0000327 . 46 .47 .0050526 .0021366 .0008032 .0002663 .0000773 .0000193 .47 .48 .0036040 .0014641 .0005287 .0001685 .0000469 .0000113 .48 .49 .0025282 .0009868 .0003423 .0001048 .0000281 .0000065 .‘49 • 50 .0017438 .0006539 .0002180 .0000641 .0000165 .0000037 • 50 152 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=43 r- 6 n=43 r= 5 n=43 r- 4 n=43 r= 3 n=43 r- 2 n-43 r= 1 p .01 .0000042 .0000657 .0008340 .0082557 .0598041 .2819335 .01 .02 .0001848 .0014295 .0089802 .0440031 .1577673 .3681235 .02 .03 .0014400 .0073515 .0304742 .0985334 .2331156 .3589241 .03 .04 .0055140 .0208955 .0642937 .1543049 .2709744 .3096850 .04 .05 .0142781 .0428343 .1043401 .1982460 .2756104 .2493618 .05 .06 .0288215 .0712951 .1431995 .2243460 .2571770 .1918623 .06 .07 .0489254 .1026331 .1748145 .2322536 .2257796 .1428402 .07 .08 .0730747 .1326882 .1956301 .2249745 .1893079 .1036686 .08 .09 .0988698 .1578449 .2046137 .2068871 .1530629 .0736969 .09 .10 .1236090 .1756550 .2026787 .1824109 .1201242 .0514818 .10 .11 .1448317 .1850242 .1919249 .1552847 .0919313 .0354195 .11 .12 .1607029 .1860770 .1749442 .1282924 .0688399 .0240393 .12 .13 .1701962 .1798429 .1543031 .1032644 .0505666 .0161146 .13 .14 .1730965 .1678906 .1322215 .0812218 .0365073 .0106790 .14 .15 .1698733 .1519919 .1104215 .0625721 .0259446 .0070009 .15 .16 .1614844 .1338622 .0900995 .0473022 .0181710 .0045428 .16 .17 .1491627 .1149892 .0719766 .0351416 .0125541 .0029188 .17 .18 .1342223 .0965459 .0563872 .0256875 .0085625 .OOI8575 .18 .19 .1179084 .0793677 .0433791 .0184932 .0057687 .0011711 .19 .20 .1012947 .0639756 .0328080 .0131232 .0038409 .0007316 .20 .21 .0852306 .0506257 .0244165 .0091853 .0025284 .0004529 .21 .22 .0703256 .0393689 .0178950 .0063^6 .0016459 .0002779 .22 .23 .0569641 .0301114 .0129241 .0043268 .0010599 .0001689 .23 .24 .0453364 .0226683 .0092029 .0029142 .0006753 .0001018 .24 .25 .0351*801 .0168063 .0064640 .0019392 .0004256 .0000609 .25 .26 .0273207 .0122777 .0044800 .0012751 .0002655 .0000360 ,26 .27 .0207112 .0088417 .0030647 .0008286 .0001640 .0000211 .27 .28 .0154642 .0062787 .0020699 .0005323 .0001001 .0000123 .28 .29 .0113769 .0043980 .0013804 .0003380 .0000605 .0000071 .29 .30 .0082496 .0030393 .0009092 .0002121 .0000363 .0000040 .30 .31 .0058975 .0020726 .0005914 .0001317 .0000214 .0000023 .31 .32 .0041573 .0013948 .0003801 .0000807 .0000126 .0000012 .32 .33 .0028902 .0009266 .0002411 .0000490 .0000073 .0000007 .33 .3* .0019819 .0006074 .0001512 .0000293 .0000042 .0000004 .34 .35 .0013406 .0003930 .0000936 .0000174 .0000024 .0000002 .35 • 36 .0008944 .0002511 .0000572 ,0000102 .0000013 .0000001 .36 •37 .0005887 .OOOI583 .0000345 .0000059 .0000007 .0000001 .38 .0003822 .0000984 .0000206 .0000034 .0000004 .0000000 .38 .39 .0002447 .0000605 .0000121 .0000019 .0000002 .0000000 ,39 .40 .0001546 .OOOO366 .0000070 .0000011 .0000001 .0000000 .40 .41 .0000963 .0000218 .0000041 .0000005 .0000001 .0000000 .41 .42 .0000591 .0000129 .0000023 .0000003 .0000000 .0000000 .42 • *3 .0000358 .0000074 .0000013 .0000002 .0000000 .0000000 .43 .44 .0000213 .0000043 .0000007 .0000001 .0000000 .0000000 .44 -*5 .0000126 .0000024 .0000003 .0000001 .0000000 .0000000 .46 .0000072 .0000014 .0000002 .0000000 .0000000 .0000000 .46 .47 .0000041 .0000008 .0000001 .0000000 .0000000 .0000000 .47 .48 .0000018 .0000009 .0000001 .0000000 .0000000 .0000000 .48 .1*9 .0000013 .0000002 .0000000 .0000000 .0000000 .0000000 .49 .50 .0000007 .0000001 .0000000 .0000000 .0000000 .0000000 • 5^ 153 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n*43 r-0 n=^4 r=39 n-44 r=58 n-44 r=37 n=44 r-36 n=44 r=35 p .01 .6491026 .6000000 .6000000 .0000000 .0000000 .0000000 .01 .02 ,4194897 .6000000 .6000000 .0000000 .0000000 .0000000 .02 .03 • 2698886 .0000000 .0000000 .6000000 .0000000 .0000000 .05 .04 .1728475 .6000000 .6000000 .0000000 .0000000 .0000000 .04 .05 .1101831 .6000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0699033 .9000000 .6000000 .0000000 .0000000 .0000000 .06 .07 .0441333 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 • .0277253 .6000000 .6000000 .0000000 .0000000 .0000000 .08 .09 .0173293 .6000000 .6000000 .0000000 .0000000 .0000000 .09 .10 .0107753 .6000000 .6000000 .0000000 .0000000 .0000000 .10 .11 • 0066645 .6000000 .6000000 .0000000 .0000000 .0000000 .11 .12 .0040997 .0000000 .6000000 .0000000 .0000000 .0000000 .12 .13 .0025080 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0015256 .0000000 .6000000 .0000000 .0000000 .0000000 .14 .15 .0009226 .0000000 .6000000 .0000000 .0000000 .0000000 .15 as, .0005546 .6000000 .6000000 .0000000 .0000000 .0000000 .16 .17 .0003314 .6000000 .6000000 .0000000 .0000000 .0000000 .17 .18 .0001968 .6000000 .0000000 .0000000 .0000000 .0000000 . 18 .19 .0001161 .0000000 .6000000 .0000000 .0000000 .0000000 .19 .20 .0000681 .QOOOOOO .6000000 .0000000 .0000000 .0000000 .20 .21 .0000396 .0000000 .6000000 .6000000 .0000000 .0000000 .21 .22 .0000229 .9000000 .0000006 .0000000 ,0000000 .0000000 .22 .23 .0000132 .0000000 .6000000 .0000000 .0000000 .0000000 *23 .24 .0000075 .6000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000042 .0000000 .6000000 .0000600 .0000000 .0000000 .25 .26 .0000024 .6000000 .6000000 .0000000 .0000000 .0000000 1 .26 .27 .0000013 .6000000 .0000000 .6000000 .0000000 .0000000 .27 .28 .0000007 ,6000000 .6000000 .0000000 .0000000 .0000000 .28 .29 .0000004 .0000000 .6000000 .0000000 .0000000 .0000000 .29 .30 .0000002 .6000000 .6000000 .0000000 .0000000 .0000000 •30 .3! .0000001 .6000000 .0000000 .0000000 .0000000 .0000000 *31 .32 .0000001 .6000000 .6000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .6000000 .6000000 .0000000 .0000000 .0000000 ! 1 • .34 .0000000 .6000000 .6000000 .0000000 .0000000 .0000000 .34 .35 .0000000 .9000000 .6000000 .0000000 .0000000 .0000000 • 35 .36 .0000000 .0000000 .6000000 .0000000 .0000000 .0000000 • 36 • 37 .0000000 .6000000 .6000000 .0060000 .0000000 •OOOQOQO • 3g .38 .0000000 .6000000 .6000000 .0000000 .0000000 .0000000 • 39 .0000000 .9000000 .6000000 .0000000 .0000000 .0000000 .?o .41 .42 .4} .44 .45 .46 .47 .48 .49 .50 . 40 .41 .42 .0000000 .0000000 .0000000 .6000000 .0000000 .6000000 .0000000 .0060000 .0000000 .0000000 .0000001 .0000002 .0000000 .0000000 .6000000 .0000000 .0000001 .0000005 .43 .44 .45 .46 .0000000 .6060000 .6000000 .6000000 .0000001 .0000007 ! .0000000 .0000000 .0000000 .0000000 .0000005 .0000015 .0000000 .0060006 .0000000 .0000001 .0000005 .0000024 : .0000000 .0000000 .0000000 .0000002 .0000009 .0000044 .47 .48 .49 .0000000 .0000000 .0000000 .0000000 .0000001 .0000001 .0000005 .0000007 .0000017 .0000051 .6000078 .0000158 .0000000 .0000000 .0000002 .0000012 .0000057 .0000258 • 50 .0000000 .0000001 .0000004 .0000021 .0000101 .0000405 154 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=44 r=34 n=44 r=33 n-44 r-32 n=44 r-31 n-44 r=3o n=44 r=29 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 . 06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 ,0000000 .0000000 .0000000 .0090000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 • 25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 .0000000 .ooccooo .0000000 .0000000 .0000000 .0000001 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000002 .0000007 .30 .31 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .31 .32 .0000000 .0000000 .0000000 .0000002 .0000007 .0000032 .32 .33 .0000000 .oococoo .0000001 .0000003 .0000015 .0000062 .33 .34 .0000000 .0000000 .0000002 .0000007 .0000030 .0000117 .3^ .35 .0000000 .0000001 .0000003 .0000014 .0000058 .0000215 .35 • 36 .0000000 .0000002 .0000006 *0000027 .0000109 .0000387 .36 .37 .0000001 .0000002 .0000013 .0000052 .0000199 .0000675 .38 .0000001 .0000006 .0000024 .0000098 .0000352 .0001152 .38 • 39 .0000003 .0000010 .0000046 .0000177 .0000613 .0001916 .39 .40 .0000004 .0000021 .0000085 .0000312 .0001039 .0003116 .40 .41 .0000009 .0000038 .0000153 .0000540 .0001722 .0004955 . 41 .42 .0000017 .0000070 .0000269 .0000913 .0002793 .0007713 ,42 .43 .0000031 .0000127 .0000463 .0001511 .0004434 .0011757 .43 1. 1. .44 .0000056 .0000224 .0000781 .0002448 .0006898 .0017560 .44 *45 .0000101 .0000385 .0001292 .0003887 .0010519 .0025714 ,45 . 46 .0000179 .0000648 .0002095 .0006052 .0015732 .0036935 .46 .47 .0000308 .0001075 .0003330 .0009245 .0023085 .0052064 .47 J, 0 .48 .0000521 .0001745 .0005198 .0013862 .0033251 .0072046 . 4o .49 .0000865 .0002783 .0007965 .0020408 .0047032 .0097904 .49 .50 .0001411 .0004359 .0011989 .0029510 .00653^5 .0130690 . 50 155 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P <1 p n=44 r-28 n=44 r=27 n=44 r=26 n=44 r=25 n=44 r-24 n=44 r-23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .OOOO0OO .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000001 .0000002 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000002 ; 0000006 .19 .20 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .20 .21 .0000000 .0000000 .0000000 .0000002 .0000009 •.0000037 .21 .22 .0000000 .0000000 .0000001 .0000005 .0000020 ;0000082 .22 .23 .0000000 .0000001 .0000002 .0000011 .0000045 .0000,174 .23 .24 .0000000 .0000001 .0000006 .0000625 .0000097 •.0000351 .24 • 25 .0000001 .0000003 .0000012 .0000653 .0000199 •.0000680 .25 .26 .0000002 .0000006 .0000028 .0006110 .0000388 .0001265 .26 .27 .0000003 .0000014 . 00000.59 .0000217 .0000733 •.0002264 .27 .28 .0000007 . .0000031 .0000117 .0000414 .0001332 .0003911 .28 .29 .0000016 .0000062 .0000228 .0000763 .0002336 .0006536 .29 • 30 .0000032 .0000122 .0000426 .0001361 .0003968 .0010583 .30 .31 .0000063 .0000231 .0000772 .0062349 .0006538 .0016631 .31 .32 .0000121 .0000425 .0001354 .0003938 .0010461 .0025^03 .32 .33 .0000227 .0000758 .0002308 .0006414 .0016278 .0037771 .33 .34 .0000411 .0001314 .0003827 .0010167 .0024668 .0054727 .34 .35 .0000725 .0002218 .0006178 .0015701 .0036447 .0077358 .35 • 36 .0001245 .0003645 .0009722 .0023651 .0052556 .0106782 .36 .37 .0002084 .0005845 .0014929 .0034783 .0074032 .0144063 .38 •0003404 .0009149 .0022390 .0049991 .0101955 .0190112 .38 .39 .0005431 .0013993 .0032829 .0070265 .0137378 .0245569 .39 .40 .0008471 .0020928 .00.47090 .0096656 .0181232 .0310683 .40 .41 .0012925 .0030633 .0066124 .0130210 .0234219 .0385196 .41 .42 .0019305 .0043909 .0090954 .0171879 .0296697 .0468255 .42 .^3 .0028245 .0061670 .0122621 .0222430 .0368561 .0558351 .43 .44 .0040506 .0084911 .0162104 .0282325 .0449152 .0653313 .44 .45 .0056962 .0114671 .0210235 .0351606 .0537184 w50352 .45 .46 .0078589 .0151951 .0267565 .0429820 .0630714 .08^6175 . 46 .47 .0106413 .0197642 .0334310 .0515878 .0727169 .0937141 .47 1.0 .48 .0141464 .0252417 .0410177 .0608070 .0823428 .1019483 .48 .49 .0184693 .0316618 .0494311 .0704036 .0915964 .1089543 .49 .50 —— .0236875 ■ ■ ■ - .0390147 .0585220 .0800828 .1001035 .1144040 .50 156 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=44 r=22 n=44 r-21 n=44 r=20 n-44 r=19 n=44 r=l8 n=44 r=17 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 ..0000000 ..0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .ooopooo .03 .04 .0000000 .0000000 .0000000 .0600000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 . OO'OOOOO .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 ..0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000002 .0000015 .11 .12 .0000000 .0000000 .0000000 .0000002 .0000010 .0000048 .12 .13 .0000000 .0000000 .;0000001 .0000007 .0000031 .0000138 .13 .14 .0000000 .0000001 .0000004 .0000019 .0000087 .00.00357 .14 .15 .0000001 .0000002 .0000012 .0000053 .0000223 .0000840 .15 .16 .0000002 .0000007 .0000032 .0000136 .0000523 .0001828 .16 .17 .0000004 .0000019 .0000082 .0000319 .0001140 .0003709 .17 .18 .0000011 .0000048 .0000192 .0000699 .0002326 .0007066 .18 .19 .0000027 ;0000113 .0000422 .0001436 .0004475 .0012719 .19 .20 .0000065 .0000249 .0000872 .0002791 .0008156 .0021752 .20 .21 .0000144 .0000520 .0001711 .0005148 .0014155 .0035498 .21 .22 .0000304 .0001030 .0003195 .0009062 ,0023481 .0055499 .22 • 23 .0000608 .0001947 .0005703 .0015274 .0037368 .0083401 *23 .24 .0001163 ,0003523 .0009762 .0024729 .0057226 .0120811 .24 .25 .0002134 .0006122 .0016071 .0038570 ,0084557 .0169115 .25 .26 .0003764 .0010245 .0025515 .0058096 .0120833 .0229272 ,26 .27 .0006400 .0016551 .0039155 .0084692 .0167333 .0301613 .27 .28 .0010517 .0025865 .0058199 .0119722 .0224972 .0385666 .28 .29 .0016731 .0039180 .0083932 .0164391 .0294118 •0480053 .29 .30 ,0025816 .0057619 .0117638 .0219591 .0374430 .0582447 .30 • 31 .0038699 .0082392 .0160466 .0285731 .0464758 .0689639 .31 .32 ,0056437 .0114714 .0213296 .0362603 .0563081 .0797697 .32 .33 .0080171 .0155695 .0276594 .0449256 .0666554 .0902204 .33 .3* .0111063 .0206219 .0350269 .0543947 .0771618 .0998564 .34 .35 .0156196 .0266807 .6433561 .0644148 .0874202 .1082344 .35 • 36 .0198464 .0337484 .0524974 .0746631 .0969982 .1149608 .36 • 37 .0256447 .0417666 .0622267 .0847629 .1054689 .II 97215 .38 .0324282 .0506087 .0722506 .0943061 .1124419 .1223051 .38 • 39 .0401554 .0600764 .0822199 .1028804 .1175920 .1226174 .39 .40 .0487207 .0699036 .0917485 .1100981 .1206846 .1206845 .40 • 1 .0579502 .0797661 .1004372 .1156252 .1215909 . 1166482 .41 . 42 .0676030 .0892977 .1079013 .1192052 .1202969 .1107495 .42 .43 .0773782 .0981116 .1137980 .1206789 .1169008 .1033078 .43 . 44 .0869284 .1058258 .1178516 .1199943 .1116031 .0946935 .44 .^5 .0958784 .1120897 .1198737 .1172098 .1046874 .0853009 .45 . 46 .1038487 .1166089 .1197777 .1124869 .0964979 .0755202 . 46 .47 .1104811 .1191684 .1175837 .1060755 .0874124 .0657144 .47 .48 .1154641 .1196475 .1134160 .0982938 .0778159 .0562004 . 48 .49 .1185561 .1180301 .1074917 .0895033 .0680758 .0472364 .49 .50 .1196042 .1144040 .1001035 .0800828 .0585220 .0390147 . 50 157 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=44 r=16 n-44 r=15 n=44 r=14 n=44 r=i3 n=44 r =12 n«44 r =11 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 •03 .04 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .04 .05 .0000000 .0000000 .0000000 .0000001 .0000010 .0000069 .05 .06 .0000000 .0000000 .0000002 .0000010 .0000063 .0000361 .06 .07 .0000000 .0000002 .0000008 .0000053 .0000287 .0001382 .07 .08 .0000001 .0000008 .0000041 .0000215 .0001006 .0004205 .08 .09 .0000006 .0000030 .0000156 .0000709 .0002913 .00-10710 .09 .10 .0000022 .0000108 .0000487 .0001981 .0007242 .0023700 .10 .11 .0000074 .0000327 .0001323 .0004836 .0015896 .0046768 .11 .12 .0000215 .0000870 .0003188 .0010559 .0031456 .OO83885 .12 .13 .0000562 .0002073 .0006940 .0020973 .0057020 .0138761 .13 .14 .0001330 .0004507 .0013845 .0038407 .0095847 .0214099 .14 .15 .0002891 .0009038 .0025608 .0065535 .0150866 .0310875 .15 .16 .0005829 .0016884 .0044319 .0105078 .0224114 .0427852 .16 .17 .0010996 .0029618 .0072303 .0159424 .0316211 .0561401 .17 .18 .0019543 .0049119 .0111882 .0230181 .0425994 .0705688 .18 .19 .0032922 .0077433 .0165057 .0317782 .0550370 .0853204 .19 .20 .0052825 .0116579 .0233158 .0421189 .0684431 .0995537 .20 .21 .0081079 .0168281 .0316529 .0537759 .0821844 .1124253 .21 .22 .0119468 .0233692 .0414273 .0663323 .0955^11 .1231769 .22 .23 .0169521 .0313119 .0524134 .0792450 .1077774 .1312073 ,23 .24 .0232273 .0405811 .0642534 .0918893 .1182117 .1361226 .24 .25 .0308031 .0509845 .0764766 .1036136 .1262790 .1377589 .25 .26 .0396187 .0622130 .0885339 .1137978 .1315788 .1361794 ,26 .27 .0495107 .0738551 .0998411 .1219087 .1339021 .1316478 .27 .28 .0602112 .0854228 .1098293 .1275438 .1332376 .1245858 .28 .29 .0713577 .0963880 .1179922 .1304608 .1297579 .1155211 .29 • 30 .0825133 .1062241 .1248280 .1296909 .1237893 .1050333 .30 .31 .0931967 .114*1485 .1273701 .1280327 .1157716 .0937036 • 51 .32 .1029173 .1206616 .1282029 .1230335 .1062125 .0820733 • 32 .33 .1112132 .1245774 .1264649 .1159571 .0956427 .0706122 • 33 .34 .1176879 .1260430 .1223359 .1072470 .0845753 .0597002 .34 • 35 .1220398 .1250458 .1161139 .0973858 .0734742 .0496189 • 35 • 36 .1240847 .1217076 .1081845 .0868579 .0627306 .0405532 • 36 .37 .1237662 .1162687 .0989854 .0761162 .0526513 .0325998 .37 .38 .1211557 .1090621 .0889717 .0655581 .0434538 .0257812 .38 .39 .1164415 .1004836 .0785834 .0555088 .0352712 .0200611 .39 .40 i .1099092 .0909593 .0682194 .0462132 .0281612 .0153606 .40 .41 .1019147 .0809146 .0582191 .0378355 .0221188 .0115744 .41 . 42 .0928563 .0707477 .0488496 .0304653 .0170914 .0085827 .42 .43 l« I. .0831438 .0608077 .0403028 .0241273 .0129929 .0062630 • ^3 . 44 .0731722 .0513812 .0326971 .0187936 .0097172 .0044972 .44 • 45 .0632986 .0^26842 .0260847 .0143981 .0071490 .0031773 .^5 .46 .0538256 .0348617 .0204622 .0108482 .0051735 .0022084 . 46 .47 J, O .0449913 .0279917 .0157826 .0080375 .0036820 .0015099 .47 . 48 .0369651 .0220941 .0119677 .0058551 .0025769 .0010151 . 48 .49 .0298498 .0171410 .0089203 .0041930 .0017729 .0006710 .49 • 50 .0236875 .0130690 .00653^5 .0029510 .0011989 .0004359 .50 158 BINOMIAL DISTRIBUTION Table 1 - Individual Terms P r 23 .0000022 .0000084 .0000292 .0000939 .0002782 .0007588 *23 .24 .0000050 .0000180 .0000593 .0001803 .0005050 .0013031 .24 .25 .0000108 .0000368 .0001150 .0003311 .0008786 .0021477 .25 .26 .0000224 .0000720 .0002135 .0005834 .0014688 .0034063 ,26 .27 .0000442 .0001353 .0003811 .0009890 .0023655 .0052112 .27 .28 .0000841 .0002446 .0006550 .0016170 .0036783 .0077069 .28 .29 .0001540 .000^262 .0010871 .0025549 :0055335 .0110386 .29 • 50 .0002721 .0007179 .0017449 .0039084 .0080676 .0153382 .30 .31 .0004652 .0011704 .0027137 .0057985 •0114171 .0207063 .31 .32 .0007703 .0018502 .0040955 .0083549 .0157056 .0271939 .32 .33 .0012375 .0028401 .0060066 .0117073 .0210269 .0347852 • 33 .34 .0019317 .0042389 .0085713 .0159728 .0274285 .0433836 .34 .35 .0029335 .0061585 .0119138 .0212406 .0348954 .0528046 .35 • 36 .0043386 .0087191 .0161464 .0275566 .0433369 .0627760 .36 .37 .0062-555 .0120405 .0213556 .0349078 .0525793 .0729480 •37 .38 .0088006 .0162318 .0275870 .0432100 .0623657 .0829112 .38 .39 .0120109 .0213781 .0348309 .0522998 .0723636 .0922241 .39 .40 .0162334 .0275262 .0430098 .0619341 .0821818 .1004444 .40 .41 .0213131 .03^6706 .0519707 .0717956 .0913945 .1071638 .41 .42 .0273792 .0427410 .0614826 .0815084 .0995716 .1120400 .42 .*3 .03^4310 .0515943 •0712421 .0906598 .1063103 .1148261 • 43 .44 .0424062 .0610112 .0808862 .0988282 .1112682 .1153891 .44 .45 .0511714 .0707007 .0900124 .1056145 .1141901 .1137202 .45 .46 .0605187 .0803102 .0982055 .1106732 .1149300 .1099330 . 46 .47 .0697676 .0894458 .1050672 .1137407 .1134616 .1042523 .47 .48 .0797753 .0976960 .1102471 .1146571 .1098796 .0969926 .48 .49 .0889540 .1046609 .1134717 .1133791 .1043906 .0885309 .49 .50 .0972934 .1099838 .1145666 .1099838 .0972934 .0792761 .50 184 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p | n=48 r*20 n-48 n=48 r-18 n=48 r=17 n=48 r=16 n=48 r=15 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .07 .08 .0000000 .0000000 .0000000 .0000001 .0000004 .0000025 .08 .09 .0000000 .0000000 .0000001 .0000004 .0000020 .0000100 .09 .10 .0000000 .0000001 .0000003 .0000016 .0000077 .0000338 .IQ .11 .0000001 .0000002 .0000012 .0000058 .0000249 .0000976 .11 .12 .0000002 .0000009 .0000042 .0000179 .0000698 .0002479 .12 .13 .0000006 .0000030 .0000126 .0000489 .0001742 .0005649 .13 .14 .0000020 .0000087 .0000338 .0001206 .0003937 .0011724 .14 .15 .0000058 .0000230 .0000824 .0002713 .0008165 .0022435 .15 .16 .0000153 .0000555 .0001847 .0005630 .0015703 .0039971 .16 .0000369 .0001242 .0003840 .0010886 .0028236 .0066840 .17 .18 .0000824 .0002588 .0007469 .0019755 .0047810 .0105601 .18 .19 .0001723 .0005066 .0013678 .0033858 .0076683 .0158501 .19 .20 .0003395 .0009363 .0023722 .0055096 .0117078 .0227062 .20 .21 .0006333 .0016429 .0039144 .0085504 .0170881 .0311679 .21 .22 .0011239 .0027482 .0061710 .0127039 .0239280 .0411326 .22 .23 .0019052 .0043988 .0093267 .0181303 .0322453 .0523401 .23 .24 .0030950 .0067590 .0135555 .0249248 .0419307 .06*0785 .24 .25 .0048323 .0099980 .0189962 .0330900 .0527374 .0767088 .25 .26 .0072710 .0142722 .0257264 .0425156 .0642845 .0887096 ,26 .27 .0105672 .0197038 .0337397 .0529677 .0760797 .0997320 .27 .28 •0148632 .0263585 .0429267 .0640932 .0875560 .1091607 .28 .29 .0202632 .0342239 .0530667 .0754386 .0981189 .1164713 .29 .30 .0268419 .0431939 .O6383IO .0864807 .1072000 .1212767 .30 .31 .0345662 .0530605 .0747982 .0966694 .1143077 .1233584 • 31 .32 .0433404 .0635160 .0854820 .1054738 .1190700 .1226782 .32 .33 .0529684 .0741668 .0953680 .1124279 .1212647 .1193716 • 33 • 3 * .0631614 .0845569 .1039552 .1171716 .1208331 .1137253 .3* • 35 .0735492 .0942010 .1107983 .1194784 .1178782 .1061415 • 35 • 3 6 .0837014 .1026224 .1155452 .1192725 .1126462 .0970957 .36 •H .0931565 .1093916 .1179656 .1166285 .1054976 .0870939 •3 .38 .1014572 .1141622 .1179677 .1117589 .0968700 .0766307 .38 .39 .1081860 .1166992 .1156021 .1049885 .0872381 .0661572 .39 .40 .1129999 .1168965 .1110516 .0967225 .0770756 .0560551 .40 • 41 .1156583 .1147829 .1046110 .0874091 .0668226 .0466227 . 41 .42 .1160414 .1105156 .0966573 .0775040 .0568594 .0380703 .42 .1141586 .1043630 .0876I65 .0674377 .0474906 .0305226 • 43 li h . 44 .1101442 .0966783 .0779286 .0575894 .0389383 .0240281 .44 .45 .1042435 .0878680 .0680164 .0482697 .0313418 .0185729 .45 1 . ^ .46 .0967888 .0783598 .0582588 .0397108 .02*17652 .0140957 . 46 .47 1. 0 .0881708 .0685701 .0489717 .0320652 .0192093 .0105025 .47 1,0 • 4o .0788064 .0588784 .0403971 .0254111 .0146246 .0076816 . 4o .49 .0691082 .0496062 .0326996 .0197619 .0109269 .0055142 .49 . 50 .0594571 .0410049 .0259697 .0150792 .0080109 .0038840 . 50 185 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=48 r=14 n=^8 r=13 n=48 r=12 n=48 r =11 n-48 r-10 n-48 r= 9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .02 .03 .0000000 .0000000 .0000000 .0000001 ..0000013 .0000100 •03 .04 .0000000 .0000000 .0000003 .0000021 .0000145 .0000895 .04 .05 .0000001 .0000003 .0000027 .0000166 .0000909 .0004431 .05 .06 .0000004 .0000029 .0000164 .0000830 .0003767 .0015133 .06 .07 .0000027 .0000148 .0000707 .0003048 ..0011720 .0039929 .07 .08 .0000124 .0000573 .0002380 .0008875 .OO29543 .0087116 .08 .09 .0000447 .0001807 .0006599 .0021637 .0063332 .0164195 .09 .10 .0001342 .0004829 .0015695 .0045813 .0119355 .0275435 .10 .11 .0003484 .0011276 .0032945 .0086450 .0202476 .0420054 .11 .12 .0008022 .0023531 .0062315 .0148207 .0314615 .0591583 .12 .13 .0016680 .0044651 .0107907 .0234210 .0453723 .0778577 .13 .14 .0031775 .0078074 .0173188 .0345038 .0613545 .0966391 .14 .15 .0056086 .0127129 .0260144 .0478101 .0784255 .1139515 .15 .15 .0092578 .0194416 .0368579 .0627581 .0953757 .1283905 .16 .17 .0143971 .0281167 .0495719 .0784953 ..1109384 .1388822 .17 .18 .0212238 .0386743 .0636217 .0939997 .1239586 .14^7950 .18 .19 .0298110 .0508357 .0782601 .1082061 .1335340 .1459684 .19 .20 .0400696 .0641114 .0926054 .1201367 .1391056 .1426724 .20 .21 .0517281 .0778386 .1057410 .1290122 .1404908 .1355161 .21 .22 .0643383 .0912435 .1168193 .1343278 .1378628 .1253298 .22 .23 .0773055 .1035221 .1251517 .1358874 .1316895 .1130445 .23 .24 .0899405 .1139246 .1302750 .1337959 .1226462 .0995845 .24 .25 .1015264 .1218316 .1319843 .1284172 .1115201 .0857848 .25 .26 .IH3887 .1268118 .1303343 .1203086 .0991206 .0723366 .26 .27 .1189613 .1286545 .1256101 .1101447 .0862048 .0597622 .27 .28 .1238378 .1273760 .1182777 .0986409 .0734244 .0484117 .28 .29 .1258032 .1232003 .1089214 .0864875 .0612946 .0384785 .29 .30 .1248438 .1165208 .0981796 .0742980 .0501838 .0300245 .30 .31 .1211347 .1078490 .0866851 .0625765 .0403188 .0230107 .32 .1150107 .0977592 .0750166 .0517006 .0318027 .0173284 .32 .33 .1069238 .0868350 .0636645 .0419215 .0246381 .0128264 -33 .3^ .0973945 .0756240 .0530109 .0333741 .0187536 .0093344 .34 .35 .0869646 .0646023 .0433245 .0260951 .0140286 .0066802 .35 .36 .0761536 .0541536 .0347652 .0200449 .0103155 .0047022 .36 .37 .0654242 .0445592 .0273979 .0151299 .0074573 .0032558 .38 .0551600 .0359991 .0212100 .0112235 .0053008 .0022176 .38 • 39 .0456514 .0285615 .0161319 .0081833 .0037052 .0014859 .40 .0370952 .0222572 .0120559 .OO5865I .0025466 .0009795 .40 .41 •0295991 .0170375 .0088535 .0041320 .0017213 .0006351 .41 .42 .0231941 .0128120 .0063890 .0028615 .0011439 .0004051 .42 .43 .0178500 .0094647 .0045306 .0019477 .0007474 .0002541 .43 . 44 .0134917 .OO68665 .0031567 .0013030 .0004801 .0001566 .44 .45 .0100148 .0048962 .0021609 .0008566 .0003031 .0000949 .45 . 46 .0073001 .0034280 .0014531 .0005532 .0001880 .0000566 . 46 .47 i, 0 .0052250 .0023568 .0009597 .0003510 .0001146 .OOOO331 .47 )i O . 48 .0036714 .0015909 .0006224 .0002186 .0000686 .0000191 . 40 .49 .0025320 .0010542 .0003962 .OOOI337 .0000403 .0000108 .49 • 50 .0017135 .0006855 .0002475 .0000803 .0000232 .0000059 .50 186 BINOMIAL DISTRIBUTION Table 1 - Individual Terms l?)p P q n-r p n=48 r = 8 n=48 r- 7 n=48 r= 5 n=48 r= 5 n=48 r= 4 n®48 r= 3 p .01 .0000000 .0000005 .0000081 .0001111 .0012504 .0110035 .01 .02 .0000043 .0000412 .0003362 .0022985 .0127987 .0557454 .02 .03 .0000732 .0004619 .0024891 .0112298 .0412610 .II8587I .03 .04 .0004831 .0022626 .0090500 .0303070 .0826557 .1763320 .04 .05 .0018943 .0070228 .0222387 .0589584 .1272966 .2149899 .05 .06 .0053342 '. 0163061 .0425770 .0930754 .1657024 .2307559 .06 .07 .0119356 .0309411 .0685126 .1270100 .1917521 .2264500 .07 .08 .0225411 .0505802 .0969453 .1555634 .2032930 .2078107 .08 .09 .0373541 .0736960 .1241915 .1752158 .2013212 .1809405 .09 .10 .0557755 .0979472 .1469209 .1845053 .1886985 .1509589 .10 .11 .0764689 .1207225 .1627926 .1837869 .1689776 .1215274 .11 .12 .0976113 .1396715 .1707095 .1746795 .1455663 .0948876 .12 .13 .1172358 .1530883 .1707524 .1594504 .1212603 .0721344 .13 .14 .1335689 .1600966 .1639084 .1404929 .0980714 .0535501 .14 .15 .1452882 .1606438 .1517192 .1199640 .0772496 .0389109 .15 .16 .1516612 .1553602 .1359402 .0995842 .0594109 .0277252 .16 .17 .1525662 .1453428 .1182692 .0805718 .0447023 .0194003 .17 .18 .1484148 .1319243 .1001648 .0636706 .0329608 .0133471 .18 .19 .1400144 .1164690 .0827543 .0492271 .0238481 .0090372 .19 .20 .1284053 .1002187 .0668124 .0372907 .0169503 .0060268 .20 .21 .1147047 .0841967 .0527900 .0277104 .0118458 .0039612 .21 .22 .0999790 .0691650 .0408703 .0202191 .0081461 .0025673 .22 .23 .0851521 .0556242 .0310367 .0144984 .0055157 .0016414 *23 .24 .0709540 .0438415 ,0231386 .0102240 .0036791 .0010356 .24 .25 .0579047 .0338954 .0169477 .0070944 .0024186 .0006449 .25 .26 .0463232 .0257255 .0122031 .0048463 .0015674 .0003966 ,26 .27 .0363553 .0191793 ,0086425 .0032605 .0010017 .0002408 .27 .28 .0280096 .-0140536 .0060230 .0021611 .0006315 .0001443 .28 .29 .0211964 .0101257 .0041318 .0014115 .0003927 .OOOO855 .29 • 30 .0157629 .0071765 .0027909 .0009087 .0002409 .0000500 .30 .31 .0115239 .0050049 .OOI8567 .0005766 .0001458 .0000289 .31 .32 .0082851 .0034353 .0012167 .0003607 .0000871 .0000165 .32 .33 .0058593 .0023212 .0007854 .0002226 .0000513 .0000093 • 33 .34 .0040769 .0015442 .0004896 .0001453 .0000298 .0000052 .34 .35 .0027914 .0010116 .0003130 .0000812 .0000171 .0000028 .35 • 36 .0018809 .0006524 .0001933 .0000480 .0000097 .0000015 .36 •37 .0012473 .0004144 .0001176 .0000280 .0000054 .0000008 •n .38 .0008141 .0002592 .0000705 .0000160 .0000030 .0000005 .38 .39 .0005230 .0001596 .0000416 .0000090 .0000017 .0000002 .40 .0003306 .0000968 .0000241 .0000051 .0000009 .0000001 .40 .41 .0002056 .0000578 .OOOOI38 .0000028 .0000004 .0000001 .41 .42 .0001258 .OOOO339 .0000078 .0000015 .0000003 .0000000 .42 *43 .0000757 .0000196 .0000044 .0000008 .0000001 .0000000 .43 .44 .0000449 .0000111 .0000024 .0000004 .0000001 .0000000 .44 .45 .0000262 .0000062 .0000013 .0000002 .0000000 .0000000 .45 . 46 .0000150 .0000034 .0000007 .0000001 .0000000 .0000000 . 46 .47 .0000084 .0000019 .0000003 .0000001 .0000000 .0000000 .47 UQ .48 .0000046 .0000010 .0000002 .0000000 .0000000 .0000000 . 48 .49 .0000025 .0000005 .0000001 .0000000 .0000000 .0000000 .49 • 50 .0000014 .0000002 .0000001 .0000000 .0000000 .0000000 . 50 187 BINOMIAL DISTRIBUTION Table 1 - Individual Terms q“- r p n-48 r- 2 n=48 r= 1 n-48 r= 0 n=49 r-42 n-49 r=4l n=49 r-40 p .01 .0710441 .2992922 .6172901 .0000000 .0000000 .0000000 .01 .02 .1781429 .3714*170 .3791854 .0000000 .0000000 .0000000 .02 .03 .2500641 .3440599 .2317625 .0000000 .0000000 .0000000 .03 .04 .2759979 .2818702 .1409351 .0000000 .0000000 .0000000 .04 .05 .2664004 .2153876 .0852576 .9000000 .0000000 .0000000 .05 .06 .2357723 .1571816 .0513023 .0000000 .0000000 .0000000 .06 .07 .1962099 .1109271 .0307031 .0000000 .0000000 .0000000 .07 .08 .1558580 .0762710 .0182732 .0000000 .0000000 .0000000 .08 .09 .1193158 .0513369 .0108140 .0000000 .0000000 .0000000 .09 .10 .0886063 .0339343 .0063627 .0000000 .0000000 .0000000 .10 .11 .0641261 .0220782 .0037215 .0000000 .0000000 .0000000 .11 .12 .0453811 .0141614 .0021636 .0000000 .0000000 .0000000 .12 .13 .0314833 .0089659 .0012500 .0000000 .0000000 .0000000 .13 .14 .0214533 .0056078 .0007177 .0000000 .0000000 .0000000 .14 .15 .0143801 .0034675 .0004094 .0000000 .0000000 .0000000 .15 .16 .0094928 .0021207 .0002320 .0000000 .0000000 .0000000 .16 .17 .0061773 .0012834 .0001305 .0000000 .0000000 .0000000 .17 .18 .0039654 .0007687 .0000730 .0000000 .0000000 .0000000 .18 .19 .0025126 .0004558 .0000405 .0000000 .0000000 .0000000 .19 .20 .0015722 .0002676 .0000223 .0000000 .0000000 .0000000 .20 .21 .0009718 .0001556 .0000122 .'0000000 .‘0000000 .0000000 .21 .22 .0005936 .0000896 .0000066 .0000000 .0000000 .0000000 .22 .23 .0003584 .0000510 .0000036 .0000000 .'0000000 .0000000 .23 .24 .0002139 .0000288 .0000019 .0000000 .‘0000000 .0000000 .24 .25 .0001262 .0060161 .0000010 .0000000 .‘0000000 .0000000 .25 .26 .0000736 .0000089 .0000005 .0000000 .'0000000 .0000000 ,26 .27 .0000424 .0000049 .0000003 .0000000 .0000000 .0000000 .27 .28 .0000242 .0000027 .0000001 .0000000 .0000000 .0000000 .28 .29 .0000136 .0000014 .0000001 .0000000 .0000000 .0000000 .29 • 30 .0000076 .0000008 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000042 .0000004 .0000000 .0000000 .0000000 .0000000 .31 .32 .Q000023 .0000002 .0000000 .0000000 .‘0000000 .0000000 .32 .33 .0000012 .0000001 .0000000 .0000000 .'0000000 .0000000 .33 .34 .0000006 .0000001 .0000000 .0000000 .'0000000 .0000000 .34 .35 .0000004 .0000000 .0000000 .0000000 .'0000000 .0000000 .35 • 36 .0000002 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000001 .0000000 .0000000 .0000000 .0000000 .0000000 .38 .0000000 .0000000 .0000000 .0000000 ;0000000 .0000000 .38 .39 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .39 .40 .0000000 .0000000 .0000000 .0000000 iooooooo .0000000 .40 .41 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .41 .42 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .42 .43 .0000000 .0000000 .0000000 .ocooooo '.0000000 .0000000 .43 .44 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .44 .45 .0000000 .0000000 .0000000 .0000000 ‘.0000000 .0000002 .45 .46 .0000000 .0000000 .0000000 .0000000 *.0000001 .0000002 . 46 .47 .0000000 .0000000 .0000000 .0000000 ‘.0000001 .0000005 .47 1, 0 .48 .0000000 .0000000 .0000000 .0000000 .0000003 .0000010 . 48 .49 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .49 .50 .0000000 .0000000 .0000000 .0000002 .0000008 .0000036 .50 188 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=49 r=39 n=49 r =38 n=49 r =37 n=49 r =36 n=49 r=35 n=49 r»34 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 ..0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 ..0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0006000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .♦0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 ..0000000 .0000000 .0000000 .0000000 .0000000 *23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 ,26 .27 . OQOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 • 30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .33 • 3^ .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .34 .35 .0000000 .0000000 .0000600 .0000000 .0000002 .0000068 •35 • 36 .0000000 .0000000 .0000000 .0000001 .0000004 .0000016 .36 .37 .0000000 .0000000 .0000000 .0000002 .0000008 .0000032 .38 .0000000 .0000000 .0000001 .'0000004 .0000016 .0000063 .38 .39 .6000000 .0000000 .0000002 .•0000008 .0000033 .0000118 .39 .40 .0000000 .0000001 .0000004 .•0000016 .0000062 .0000219 .40 • 4-1 .0000000 .0000002 .0000008 ..*0000032 .0000117 .0000393 .41 . 42 .0000001 .0000003 .0000016 .0000060 .0000214 .0000691 .42 .0000002 .0000007 .0000030 .0000112 .0000383 .0001184 . 43 la la . 44 .0000003 .0000014 .0000056 .0000204 .0000669 .0001984 .44 .45 .0000006 .0000027 .0000104 .0000363 .0001140 .0003252 .45 it r .46 .0000012 .0000051 .0000189 .0000630 .0001904 .0005213 . 46 • 47 ,0000024 .0000093 .0000335 .0001072 .0003110 .0008183 • 47 liQ . 4b .0000044 .0000169 .0000579 .0001786 .0004977 .0012581 . 4o .49 .0000081 .0000299 .0000984 .0002916 .0007804 .0018952 .49 • 50 .0000146 .0000518 .0001639 .0004664 .0011995 .0027988 .50 189 BINOMIAL DISTRIBUTION Table 1 - Individual Terms r n-r P q p n =49 r =^5 n =49 r= 5 2 n -49 r-31 n =49 r =30 n -49 r =29 n -49 r=28 p .01 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .01 .02 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .02 ..03 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .03 .04 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .04 .05 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .05 .06 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .06 .07 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .07 .08 .0000000 . 00 . 00.000 .0000000 .0000000 .ooooooo .ooooooo .08 .09 .0000000 • 00.00000 .0000000 .ooooooo .ooooooo .ooooooo .09 .10 .0O00000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .10 .11 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .11 .12 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .12 .15 .0000000 .0000000 .0000000 .ooooooo .0000009 .ooooooo .13 .14 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .14 .15 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .15 .16 .0000000 .0000000 .ooooooo .ooooooo .ooooooo iooooooo .16 .17 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .17 .18 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .19 .20 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .21 .22 .0000000 ,0000000 .0000000 .ooooooo .ooooooo .0000001 .22 .23 .0000000 .0000000 .0000000 .ooooooo .0000001 .0000002 *23 .24 .0000000 .0000000 .0000000 .ooooooo .0000002 .0000005 .24 .25 .0000000 .0000000 .0000000 .0000001 .0000003 .0000013 .25 .26 .0000000 .0000000 .0000000 .0000002 .0000008 .0000029 .26 .27 .0000000 .0000000 .0000001 .0000004 .0000017 .0000063 .27 .28 .0000000 .0000001 .0000002 .0000009 .0000037 .0000131 .28 .29 .0000000 .0000002 .0000005 .0000021 .0000077 .0000260 .29 .30 .0000001 .0000003 .0000011 .0000044 .0000155 .0000499 .30 .51 .0000002 .0000006 .0000025 .0000090 .0000300 .0000924 • 31 .52 .0000003 .0000014 .0000051 .0000176 •0000564 .0001654 .32 .55 .0000007 .0000028 .0000102 .0000336 .0001022 .0002869 • 33 • 5* .0000015 .0000056 .0000195 .0000618 .0001800 .0004825 .34 • 55 .0000031 .0000110 .0000364 .0001103 .0003074 .0007884 • 35 .56 .0000060 .0000209 .0000660 .0001913 .0005103 .0012528 .36 .57 .0000117 .0000383 .0001162 .0003228 .0008243 .0019383 •37 .58 .0000217 .0000686 .0001991 .0005300 .0012972 .0029227 .38 .59 .0000394 .0001195 .0003325 .0008483 .0019902 .0042989 •2 ? .40 .0000697 .0002029 .0005412 .0013244 .0029799 .0061728 .40 • 4-1 .0001203 .0003361 .0008598 .0020186 .0043572 .0086589 .41 .42 .0002027 .0005434 .0013341 .0030058 .0062263 .0118738 .42 .0003337 .0008584 .0020231 .0043755 .0087001 .0159261 • 43 ll ll .44 .0005367 .0013260 .0030003 .0062302 .0118941 .0209047 .44 .45 .0008445 .0020037 .0043537 .0086819 .0159169 .0268650 • 45 ll s . 46 .0013005 .0029635 .0061848 .0118458 .0208590 .0338150 .46 .47 1 . 0 .0019608 .0042923 .0086048 .0158317 . 026,7791 .0417017 .47 1,0 . 48 .0028961 .0060903 .0117295 .0207325 .0336902 .0504017 . 4o .49 .0041917 .0084690 .0156706 .0266113 .0415462 .0597151 .49 • 50 .0059475 .0115450 .0205245 .0334873 .0502310 .0693666 • 50 190 BINOMIitL DISTRIBUTION Table 1 - Individual Terms p r q n-r p n =49 r -27 n =49 r =26 n =49 r - 2 5 n =49 r -24 n -49 r =23 n =49 r =22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .00*00000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005 .15 .16 .0000000 .0000000 .0000000 .0000001 .0000003 .0000014 .16 .17 .0000000 .0000000 .0000001 .0000002 .0000009 .0000038 .17 .18 .0000000 .0000000 .0000002 .0000006 .0000024 .0000097 .18 .19 .0000000 .0000001 .0000004 .0000016 .0000062 .0000229 .19 .20 .0000001 .0000002 .0000010 .0000040 .0000148 .0000504 .20 .21 .0000002 .0000006 .0000025 .0000094 .0000328 .0001050 .21 .22 .0000004 .0000015 .0000059 .0000210 .0000686 .0002071 .22 .23 .0000009 .0000036 .0000132 .0000441 .0001363 .0003887 .23 .24 .0000022 .0000081 .0000279 .0000884 .0002582 .0006966 .24 .25 .0000049 .0000173 .0000564 .0001690 .0004679 .0011959 .25 .26 .0000105 .0000353 .0001088 .0003097 .0008136 .0019725 ,26 .27 .0000217 .0000689 .0002016 .0005452 .0013607 .0031338 .27 .28 .0000427 .0001291 .0003595 .0009244 .0021941 .0048063 .28 .29 .0000810 .0002330 .0006179 .0015127 .0034187 .0071300 .29 .30 .0001482 .0004059 .0010260 .0023939 .0051562 .0102487 .30 .31 .0002617 .0006838 .0016488 .0036700 .0075403 .0142967 -31 .32 .0004473 .0011158 .0025687 .0054586 .0107071 .0193819 • 32 .33 .0007411 .0017663 .0038850 .0078879 .0147828 .0255671 .33 .34 .0011919 .0027162 .0057119 .0110878 .0198677 .0328532 .34 .35 .0018633 .0040622 .0081729 .0151782 .0260198 .0411636 • 35 • 36 .0028345 .0059156 .0113929 .0202541 .0532375 .0503350 .36 .37 .0042004 .0083960 .0154871 .0263699 .0414462 .0601158 .37 .38 .0060692 .0116245 .0205468 .0335237 .0504891 .0701731 .38 .39 .0085577 .0157129 .0265247 .0416438 .0601247 .0801092 .39 .40 .0117842 .0207506 .0337197 .0505795 .0700331 .0894868 .40 .41 .0158585 .0267898 .0417636 .0600989 .0798311 .0978599 .41 .42 .0208690 .0338311 .0506125 .0698934 .0890950 .1048083 ,42 • ^3 .0268689 .0418112 .0600429 .0795917 .0973895 .1099721 • 43 .44 .0338621 .0505924 .0697563 .0887806 .1043018 .1130814 .44 .**5 .0417900 .0599596 .0793910 .0970333 .1094736 .1139786 .45 .46 .0505219 .0696228 .0885420 .1039407 .1126313 .1126314 . 46 .47 .0598504 .0792283 .0967879 .1091437 .1136096 .1091331 .47 .48 .0694932 .0883773 .1037205 .1123639 .1123639 .1036939 .48 .49 .0791031 .0966503 .1089783 .1134263 .1089747 .0966193 .49 .50 .0882847 .1036386 .1122752 .1122752 .1036386 .0882847 . 50 191 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p | n-49 r*21 n=49 r =20 n-49 r-19 n-49 r=l8 n=49 r=17 n-49 r=26 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .08 .09 .0000000 .0000000 .0000000 .0000001 .0000005 .0000028 .09 .10 .0000000 .0000000 .0000001 .0000004 .0000023 .0000103 .10 .11 .0000000 .0000001 .0000003 .0000018 .0000078 .0000329 .11 .12 .0000001 .0000002 .0000013 .0000059 .0000241 .0000911 .12 .15 .0000002 .0000010 .0000042 .0000173 .0000653 .0002249 .13 .14 .0000006 .0000030 .0000122 .0000460 .0001589 .0005026 .14 .15 .0000020 .0000085 .0000319 .0001107 .0003531 .0010305 .15 .16 .0000057 .0000218 .0000762 .0002452 .0007242 .0019585 .16 .17 .0000146 .0000517 .0001684 .0005038 .OOI3835 .0034799 .17 .18 .0000346 .0001142 .0003467 .0009680 .0024805 .0058212 .18 .19 .0000763 .0002359 .0006702 .0017512 .0041995 .0092228 .19 .20 .0001584 .0004588 .0012236 .0029996 .0067493 .0139075 .20 .21 .0003103 .0008453 .0021199 .0048880 .0103433 .0200449 .21 .22 .0005769 .0014813 .0035012 .0076082 .0151733 .0277130 .22 .25 .0010225 .0024787 .0055322 .0113516 .0213767 .0368671 .23 .24 .0017331 .0039743 .0083902 .0162842 .0290062 .0473181 .24 .25 .0028189 .0061237 .0122476 .0225196 .0380019 .0587302 .25 .26 .0044111 .0090914 .0172502 .0300917 .0481755 .0706350 .26 .27 .0066573 .0130341 .0234935 .0389312 .0592080 .0824659 .27 .28 .0097107 .0180819 .0309976 .0488533 .0706628 .0936053 .28 .29 .0137155 .0243161 .0396883 .0595545 .0820158 .1034411 .29 • 50 .0187894 .0317475 .0493850 .0706259 .0926965 .1114230 .30 .51 .0250029 .0402995 .0597991 .0815783 .1021373 .1171134 • 51 .52 .0323608 .0497965 .0705452 .0918793 .1098246 .1202246 • 52 .55 .0407857 .0599638 .0811632 .1009978 .1153441 .1206399 • 33 • 54 .0501081 .0704359 .0911523 .1084487 .1184165 .1184165 • 34 .55 .0600652 .0807774 .1000100 .2038364 .0289183 .1137703 • 35 • 56 .0703091 .0905130 .1072746 .1168870 .1168870 .1070481 .36 .57 .0804251 .0991635 .1125640 .1174708 .1125101 .0986882 .37 .38 .0899586 .1062851 .1156084 .1156083 .1061011 .0891791 .38 .59 .0984492 .1115062 .1162713 .1114628 .0980659 .0790165 •39 .40 .1054666 .1145586 .1145586 .1053199 .0888637 .068667 4 .40 • hi .1106464 .1152994 .1106124 .0975582 .0789686 .0585407 .41 .42 .1137205 .1137206 .1046952 .0886129 .0688332 .0489680 .42 1 .1. .1145391 .1099465 .0971520 .0789396 .0588605 .0401943 .43 .44 i, f. .1130814 .1042192 .0884284 .0689793 .0493830 .0323778 .44 .45 .1094556 .0968746 .0789348 .0591304 .0406521 .0255958 .45 .46 .1038867 .0883114 .0691133 .0497267 .0328359 .0198572 . 46 .47 1. 0 .0966940 .0789585 .0593589 .0410256 .0260230 .0151171 .47 .48 .0882632 .0692409 .0500074 .0332038 .0202336 .0112920 .48 .49 .019 0138 .0595523 .0413219 .0263601 .0154328 .0082747 .49 ^0 .0693666 .0502310 .033^873 .0205245 .0115450 .0059475 • 50 192 BINOMIAL DISTRIBUTION Table 1 - Individual Terms n-r p n=49 r*i5 n=49 r=14 n =r49 r-13 n=49 r =12 n=49 r-11 n=49 r-10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015 .03 .04 .0000000 .0000000 .0000000 .0000004 .0000026 .0000175 .04 .05 .0000000 .0000001 .0000005 .0000034 .0000202 .0001086 .05 .06 .0000001 .0000006 .0000037 .0000204 .0001006 .0004449 .06 .07 .0000007 .0000036 .0000186 .0000871 .0003655 .0013695 .07 .08 .0000033 .0000160 .0000718 .0002899 .0010528 .0034149 .08 .09 .0000131 .0000570 .0002238 .0007952 .0025390 .0072410 .09 .10 .0000438 .0001691 .0005916 .0018706 .0053168 .0134963 .10 .11 .0001252 .0004342 .0013659 .OO3883I .0099213 .0226409 .11 .12 .0003145 .0009883 .0028185 .0072622 .0168176 .0347851 *12 .13 .0007084 .0020316 .0052874 .0124327 .0262746 .0495954 .13 .14 .0014532 .0038256 .0091390 .0197247 .0382629 .0662944 .14 .15 .0027483 .0066743 .OI 4708 I .0292837 .0524025 .0837543 .15 .16 .0048388 .0108873 .0222281 .0410020 .0679769 .1006581 .16 .17 .0079952 .0167294 .0317641 .0544889 .0840106 .1156889 .17 .18 .0i24796 .0243648 .0431649 .0690898 .0993923 .1277091 .18 .19 .0185027 .0338057 .0560463 .0839499 .1130183 .1358966 .19 .20 .0261788 .0448780 .0698102 .0981116 .1239305 .1398190 .20 .21 .0354855 .0572113 .0836981 .1106280 .1314227 .1394461 .21 .22 .0462378 .0702575 .0968701 .1206712 .1351055 .1351055 .22 .23 .0580822 .0833353 .1084969 .1276209 .1349219 .1274012 .23 .24 .0705134 .0956967 .1178487 .1311200 .1311200 .1171114 .24 .23 .0829132 .1066027 .1243698 .1310925 .1241929 .1050863 .25 .26 .0946061 .1153987 .1277277 .1277276 .1147997 .0921568 ,26 .27 .1049238 .1215785 .1278325 .1214345 .1036809 .0790653 .27 .28 .1132703 .1248285 .1248285 .1127794 .0915802 .0664209 .28 .29 .1191776 ,1250484 .1190594 .1024156 .0791815 .0546780 .29 • 30 .1223469 .1223468 .IIIOI85 .0910151 .0670638 .0441360 .30 .31 .1226691 .1170161 .1012882 .0792114 .0556766 .0349533 -31 .32 .1202246 .1094903 .0904815 .0675555 .0453333 .0271709 • 32 .33 .1152638 .1002945 .0791888 .0564893 .0362180 .‘0207402 .33 .34 .1081-728 ,0899926 .0679355 .0463344 .0284031 .0155511 .34 .35 .0994296 .0791378 .0571551 .0372942 • .0218718 .0114567 .35 • 36 .0895565 .0682336 .0471738 .0294659 .0165423 .0082947 .36 .37 .0790761 .0577042 .0382095 .0228588 .0122910 .0059028 •37 .38 .0684718 .0478788 .0303793 .0174151 .0089729 .0041292 .38 .39 .0581599 .0389864 .0237139 .0130320 .0064368 .0028397 •? 9 .40 .0484712 .0311600 .0181766 .0095796 .0045377 .0019198 .40 .41 ..0396430 .0244489 .0136820 .0069177 .0031436 .0012760 .41 .42 .0318223 .0188336 .0101144 .0049075 .0021401 .OOO8335 .42 .0250734 .0142443 .0073430 .0034200 .0014316 .0005353 .43 .44 .0193920 .0105775 .0052353 .0023411 .0009409 .0003378 .44 .45 .0147218 .0077114 .0036653 .0015740 .0006075 .0002094 • 45 .46 .0109698 -OO55189 .0025195 .0010392 .OOO3852 .0001276 . 46 .47 .0080221 .0038769 .0017002 .0006736 .0002399 .0000763 .47 .48 .0057567 .0026727 .0011260 .0004286 .0001467 .0000448 .48 .49 .0040529 .0018079 .0007317 .0002676 .0000880 .0000258 .49 .50 .0027988 .0011995 .0004664 .0001639 .0000518 .0000146 .50 193 BINOMIAL DISTRIBUTION Table 1 - Individual Terms rn-r P <1 p n-49 r= 9 n=49 r= 8 n=49 r» 7 n-49 r= 6 n-49 r» 5 n-49 r= 4 p .01 .0000000 .0000000 .0000006 .0000091 .0001225 .0013479 .01 .02 .0000005 .0000051 .0000470 .0003754 .0025086 .0136576 .02 .03 .0000119 .0000849 .0005227 .0027513 .0121307 .0435808 .03 .04 .0001052 .0005543 .0025341 .0099003 .0324010 .0864026 .04 • 05 .0005156 .0021508 .0077835 .0240747 .0623753 .1316813 .05 .06 .0017425 .0059925 .0178824 .0456069 .0974330 . 1696056 .06 .07 .00^5488 .0132661 .0335711 .0726074 .1315419 .1941810 .07 .08 .0098180 .0247842 .0542894 .1016347 .1593818 .2036545 .08 .09 .0183035 .0406250 .0782406 .1287836 .1775653 .1994869 .09 .10 .0303666 .0599927 .1028446 .1506793 .1849246 .1849246 .10 .11 .0^57963 .0813369 .1253502 .1651019 .1821579 .1637581 .11 .12 .0637727 .1026585 .1433960 .1711859 .1711860 .1394848 .12 .13 .0829769 .1218966 .1553847 .1692831 .1544856 .1148740 .13 .14 .1018092 .1372828 .1606303 .1606302 .1345539 .0918384 .14 .15 .1186520 .1475916 .1593051 .1469559 .1135569 .0714987 .15 .16 .1321137 .1522531 .1522530 .1301233 .0931564 .0543413 .16 •n .1412085 .1513382 .1407403 .1118606 .0744740 .0404010 .17 .18 .1454466 .1454465 .1262076 .0935958 .0581428 .0294304 .18 .19 .1448371 .1355408 .1100632 .0763841 .0444052 .0210340 .19 .20 .1398190 .1227679 .0935374 .0609082 .0332226 .0147656 .20 .21 .1311457 .1082980 .0776013 .0475233 .0243788 .0101901 .21 .22 .1197526 .0932000 .0629402 .0363270 .0175631 .0069187 .22 .23 .1066292 .0783606 .0499691 .0272329 .0124324 .0046246 *23 .24 .0927132 .0644470 .0388728 .0200391 .0086532 .0030447 .24 .25 .07881^7 .0519024 .0296585 .0144844 .0059254 .0019752 .25 . 2 6 .0655731 .0409678 .0222097 .0102903 .0039938 .0012630 .26 .27 .0534423 .0317178 .0163344 .0071893 .0026507 .0007962 .27 .28 .0426991 .0241019 .0118051 .0049416 .0017328 .0004951 .28 .29 .0334667 .0179858 .0083875 .0033^29 .0011161 .0003036 .29 .30 .0257460 .0131869 .0058609 .0022262 .0007084 .0001836 .30 .31 .0194498 .0095030 .0040290 .0014598 .0004431 .0001096 -31 .32 .0144345 .0067332 .0027253 .0009428 .0002732 .0000645 .32 .33 .0105272 .0046918 .0018144 .0005997 .0001660 .0000375 • 33 .34 .0075468 .0032158 .0011890 .0003758 .0000994 .00002i5 .34 • 35 .0053191 .0021685 .0007670 .0002319 .OOOO588 .0000121 .35 • 36 .0036865 .0014387 .0004871 .0001410 ,0000342 .0000067 .36 .37 .0025126 .0009392 .0003045 .0000845 .0000196 .0000037 .37 .38 .0016843 .0006032 .0001875 .0000498 .0000111 .0000020 .38 • 39 .0011104 .0003812 .0001136 .0000289 .0000062 .0000010 .39 . 40 .0007200 .0002370 .0000677 .0000166 .0000034 .0000005 .40 . 41 .0004590 .0001450 .0000397 .0000093 .0000019 .0000003 .41 • 42 If -T .0002878 .0000873 .0000229 .0000052 .0000009 .0000002 .42 .43 li ), .0001773 .0000517 .0000130 .0000028 .0000005 .0000001 .43 • 44 1. c .0001075 .0000300 .0000073 .0000015 .0000003 .0000000 .44 .45 I. r .0000640 .0000172 .0000040 .0000007 .0000002 .QD00000 .45 . 46 .0000374 .0000097 .0000021 .0000004 .0000001 .0000000 .46 .47 i, Q .0000215 .OOOOO53 .0000012 .0000002 .0000000 .0000000 .47 . 4o .0000121 .0000029 .0000006 .0000001 .0000000 .0000000 .48 .49 .0000067 .0000015 .0000003 .0000001 .0000000 .0000000 .49 • 50 .0000036 .0000008 .0000002 .0000000 .0000000 .0000000 .50 194 BINOMIAL DISTRIBUTION Table 1 - Individual Terms , r n-r ) p q p n=49 r= 3 n=49 r- 2 n=49 r- 1 n=49 r= 0 p .01 .0116039 .0733266 .3024722 .6111172 .01 .02 .0581934 .1820090 .3716017 .3716017 .02 .03 .1225314 .2528840 .3406909 .2248097 .03 .04 .1803187 .2762328 .2762328 .1352977 .04 .05 .2175604 .2638498 .2088811 .0809947 .05 . 06 .2310569 .2310569 .1508288 .0482242 . 06 .07 .2243332 .1902401 .1053115 .0285538 .07 .08 .2036544 .1494911 .0716311 .0168114 .08 .09 .1753943 .1131978 .0476897 .0098408 .09 .10 .1447236 .0831391 .0311772 .0057264 .10 .11 .1152132 .0595009 .0200589 .0033122 .11 .12 .0889469 .0416347 .0127217 .0019039 .12 • 13 .0668497 .0285561 .0079628 .0010875 .13 .14 .0490565 .0192350 .0049232 .0006172 .14 .15 .0352313 .0127432 .0030088 .0003480 .15 .16 .0248079 .OO83I33 .0018186 •0001948 .16 •17 .0171523 .0053453 .0010875 .0001083 .17 .18 .0116584 .0033900 .0006435 .0000598 .18 .19 .0077975 .0021218 .0003769 .0000328 .19 .20 .0051358 .0013113 .0002186 .0000178 .20 .21 .0033334 .0008004 .0001255 .0000096 .21 .22 .0021331 .0004827 .0000713 .0000052 .22 .23 .0013463 .0002877 .0000402 .0000027 .23 .24 .OOO8383 .0001695 .0000224 .0000014 .24 .25 .0005152 .0000987 .0000123 .0000008 .25 .26 .0003126 .0000568 .0000067 .0000004 .26 .27 .0001873 .0000323 .0000036 .0000002 .27 .28 .0001107 .0000182 .0000019 .0000001 .28 .29 .0000646 .0000101 .0000010 .0000001 .29 .30 .0000373 .0000055 .OOO0OO6 .0000000 .30 .31 .0000212 .0000030 .0000003 .0000000 .31 .32 .0000119 .0000017 .0000001 .0000000 • 32 .33 .0000066 .0000008 .0000001 .0000000 .33 .34 .0000036 .0000005 .0000000 .0000000 .34 .35 .0000019 .0000003 .0000000 .0000000 .35 • 36 .0000011 .0000001 .0000000 .0000000 .36 .37 .0000005 .0000001 .0000000 .0000000 .37 .38 .0000003 .0000000 .0000000 .0000000 .38 .39 .0000002 .0000000 .0000000 .0000000 .39 .40 .0000001 .0000000 .0000000 .0000000 .40 .41 .0000000 .0000000 .0000000 .0000000 .41 .42 .0000000 .0000000 .0000000 .0000000 .42 .^3 .0000000 .0000000 .0000000 .0000000 .43 .44 .0000000 .0000000 .0000000 .0000000 .44 .45 .0000000 .0000000 .0000000 .0000000 .45 .46 .0000000 .0000000 .0000000 .0000000 .46 .47 .0000000 .0000000 .0000000 .0000000 .47 .48 .0000000 .0000000 .0000000 .0000000 .48 .49 .0000000 .0000000 .0000000 .0000000 .49 .50 .0000000 .0000000 .0000000 .0000000 .50 195 . ' Table 2 Partial Sums p = .01(.01).50 q = l-p n = 2(1)49 r = l(l)n 197 BINOMIAL DISTRIBUTION Table E - Partial Sums n 2 s-r 8 q n " 8 p | ns 2 r a 2 n= 2 r= 1 n- 3 r- 3 n s 3 r- 2 n= 3 r- 1 n- 4 r- 4 P .01 i0001000 .0199000 .0000010 .0002980 .0297010 .0000000 .01 .02 .0004000 .0396000 ♦0000080 .0011840 .0.588080 .0000002 .02 .03 .0009000 .0591000 .0000270 .0026460 . 0873270 .0000008 .03 .04 .0016000 .0784000 .0000640 .0046720 .1152640 .0000026 .04 .05 .0025000 .0975000 .0001250 .0072500 .1.426250 .0000062 .05 .06 .0036000 .ii64ooo .0002160 .0103680 .1694160 .0000130 .06 .07 .0049000 .1351000 .0003430 .0140140 .1956430 .0000240 .07 .08 .0064000 .1536000 .0005120 .0181760 .2213120 .0000410 .08 .09 .0081000 .1719000 .0007290 .0228420 .2464290 .OOOO656 .09 .10 .0100000 .1900000 .001.0000 .0280000 .2710000 .0001000 .10 .11 .0121000 .2079000 .0013310 .0336380 .2950310 .0001464 .11 .12 .0144000 .2256000 .0017280 .0397440 .3185280 .0002074 .12 • 13 .0169000 .2431000 .0021970 .0463060 .3414970 .0002856 .13 .14 .0196000 .2604000 .0027440 .0533120 .3639440 .0003842 .14 .15 .0225000 .2775000 .0033750 .0607500 .3858750 .0005062 .15 • 16 .0256000 .2944000 .0040960 .0686080 .4072960 .0006554 • 16 .17 .0289000 .3111000 .0049130 .0768740 .4282130 .0008352 .17 . l8 .0324000 .3276000 .0058320 .0855360 .4486320 .0010498 .18 .19 .0361000 .3439000 .0068590 .0945820 .4685590 .0013032 .19 . 20 .0400000 .3600000 .0080000 .1040000 .4880000 .0016000 .20 .21 .0441000 .3759000 .0092610 .1137780 .5069610 .0019448 .21 .22 .0484000 .3916000 .0106480 .1239040 .5254480 . 0023426 .22 .23 .0529000 .4071000 .0121670 .1343660 .5434670 .0027984 .23 .24 .0576000 .4224000 .0138240 .1451520 .5610240 .0033178 .24 .25 .0625000 .4375000 .0156250 .1562500 .5781250 .0039082 .25 .26 .0676000 .4524000 .0175760 .1676480 .5947760 .0045698 .26 .27 .0729000 .4671000 .0196830 .1793340 .6109830 .0053144 * 2 I . c8 .0784000 .4816000 .0219520 .1912960 .6267520 .0061466 .28 .29 .o84iooo .4959000 .0243890 .2035220 .6420890 .0070728 • 29 .30 .0900000 .5100000 .0270000 .2160000 .6570000 .0081000 .30 . 31 .0961000 .5239000 .0297910 .2287180 .6714910 .0092352 .31 • 32 .1024000 .5376000 ♦0327680 .2416640 .6855680 .0104858 .32 • 33 .1089000 .5511000 .0359370 .2548260 .6992370 .0118592 .33 .34 .1156000 .5644000 .0393040 .2681920 .7125040 .0133634 .34 • 35 .1225000 •5775000 .0428750 .2817500 .7253750 .0150063 .35 .36 .1296000 .5904000 • 0466560 .2954880 .7378560 .0167962 .36 • 37 .1369000 .6031000 .0506530 .3093940 .7499530 .0187416 .37 .38 .1444000 .6156000 .0548720 .3234560 .7616720 .0208514 .38 • 39 I* A .1521000 .6279000 .0593190 .3376620 .7730190 .0231344 .39 .40 It i .1600000 .6400000 .0640000 .3520000 .7840000 .0256000 .40 .41 .1681000 .6519000 .0689210 .3664580 .7946210 .0282576 .41 • 42 .1764000 .6636000 .0740880 .3810240 .8o4888o .0311170 .42 • 43 h li .1849000 .6751000 .0795070 .3956860 .8148070 .0341880 .43 .44 iie .1936000 .6864000 .0851840 .4104320 .8243840 .0374810 .44 • 45 ii a .2025000 .6975000 .0911250 .4252500 .8336250 .0410062 .45 .4o .2116000 .7084000 .0973360 .4401280 .8425360 .0447746 .46 • 47 .2209000 .7191000 .1038230 .4550540 .8511230 .0487968 .47 .23o4ooo .7296000 .1105920 .4700160 .8593920 .0530842 .48 • 49 .2401000 .7399000 .1176490 .4850020 .8673490 .0576480 .49 • 50 .2500000 .7500000 .1250000 .5000000 .8750000 .0625000 • 50 198 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r q “- 8 p 3 11 11 n= 4 r= 2 n = - 4 r = 1 n- 5 r= 5 n= 5 r= 4 n- 5 r- 3 P .01 .0000040 .0005920 .0394040 .0000000 .0000000 .0000099 .01 .02 .0000515, .0025365- .0776318 .0000000 .0000008 .0000776 .02 .03 . 0.0010 5? .0051864 .1147072 .0000000 .0000040 .0002580 .03 .04 .0002485 .0.090957 .1506534 .0000001 .0000124 .0006022 .04 .05 .0004812 .0140188 .1854938 .0000003 .0000300 .0011581 .05 .06 .0008251 .0199109 .2192510 .0000008 .0000617 .0019703 .06 .07 .0015000 .0267280 .2519480 .0000017 .0001133 .0030799 .07 .08 .0019251 .0.54*1269 .2836070 .0000033 .0001917 .0045253 .08 .09 .0027192 .0429648 .3142504 .0000059 .0003044 .0063413 .09 .10 .0057000 .0525000 .3439000 .000010c .0004600 .0085600 .10 .11 .0048848 .0623912 .3725776 .0000161 .0006676 .0112105- .11 .12 .0062899 .0731981 .4003046 .0000249 .0009373 .0143189 .12 .13 .0079312 .0846808 .4271024 .0000371 .0012795, .0179086 .13 .14 .0098255, .0.968005- .4529918 .0000538 .0017057 .0220003 .14 .15 .0119812 .1095188 .4779938 .0000759 .0022275 .0266119 .15 .16 .0144179 .1227981 .5021286 .0001049 .0028574 .0317587 .16 .17 .0171464 .1366016 .5254168 .0001420 .0036081 .0374538 • 17 .18 .0201787 .1508933 .5478782 .0001890 .0044930 .0437073 .18 .19 .0255264 .1656376 .5695328 .0002476 .0055256 .0505275, • 19 .20 .0272000 .1.808000 .5904000 .0003200 .0067200 .0579200 .20 .21 .0512096 .1963464 .6104992 .0004084 .0080904 .0658883 .21 .22 .0-555645 .2122437 .6298494 .0005154 .0096513 .0744338 .22 • 23 .0402728 . 2.284-592 .6484696 .0006436 .0114175, .0835557 .23 .24 .0453427 .2449613 .6663782 .0007963 .0134038 .0932512 .24 .25 .0.507812 .2617188 .6835938 .0009766 .0156250 .1035156 • 25 . 26 .0565947 .2787013 .7001342 .0011881 .0180962 .1143424 .26 .27 .0627888 .2958792 .7160176 .0014349 .0208325- .1257232 •27 .28 .0695685 .3132237 .7312614 .0017210 .0238487 .1376478 .28 .29 .0.765376 .3.307064 .7458832 .0020511 .0271596 .1501045, • 29 .30 .0857000 .3483000 .7599000 .0024300 .0307800 .1630800 .30 . 3i .0914584 .3.659776 .7733288 .0023629 .0347244 .1765593 .31 • 32 .0996147 .3837133 .7861862 .0033554 .0390070 .1905263 • 32 «33 .1081704 .4014816 .7984888 .0039135, .0436419 .2049631 • 33 .34 .1171259 .4192581 .8102526 .0045435, .0486426 .2198509 .34 • 35 .1264812 .4370188 .8214938 .0052522 .0540225 .2351694 • 35 • 36 .1362555, .4547405- .8322278 .0060466 .0597943 .2508973 .36 • 37 .1465872 .4724008 .8424704 .0069344 .0659705- .2670122 .37 .38 .1569339 .4899781 .8522366 .0079235, .0725627 .2834907 .38 • 39 .1678728 .5074512 .8615416 .0090224 .0795824 .3003084 .39 .40 .1792000 .5248000 .8704000 .0102400 .0870400 .3174400 .40 .41 .1909112 .5420048 .8788264 .OH5856 .0949456 .3348596 .41 .42 .2030011 .5590469 .8868350, .0130691 .IG33083 .3525403 .42 .43 .2154640 .5759080 .8944400 .0147008 .1121367 .3704549 .43 ,44 .2282951 .5925709 .9016550, .0164916 .1214383 .3885753 .44 .45 .2414812 .6090188 .9084937 .0184528 .1312200 .4068731 .45 .46 .2550205 .6252357 .9149694 .0205963 .1414876 .4253194 .46 .47 It O . 2689016. .6412064 .9210952 .0229345, .1522460 .4438849 .47 la O .48 .2851155, .6569165- .9268838 .0254804 .1834992 .4625400 .48 .49 .2976520 .6723520 .9323480 .0282475, .1752500- .4812550- • 49 • 50 .5125000 .6875000 .9375000 ,0312500 .1875000 .5000000 • 50 832939 0 - 50 - 14 199 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n -s p n= 5 r= 2 n- 5 r= 1 n= 6 r- 6 n- 6 r= 5 n= 6 r= 4 n= 6 t - 3 P .01 .0009801 .0490100 .0000000 .0000000 .0000001 .0000196 .01 .02 .0038424 .0960792 .0000000 .0000000 .0000023 .0001529 .02 .03 .0084721 .1412660 .0000000 .0000001 .0000116 .0005044 .03 .04 .0147580 .1846273 .0000000 .0000006 .0000360 .0011684 .04 .03 .0225925 .2262191 .0000000 .0000018 .0000864 .0022298 • 05 .06 .0318713 .2660960 .0000000 .0000044 .0001762 .0037643 .06 .07 .0424934 .3043116 .0000001 .0000095- .0003210 .0058339 • 07 .08 .0543613 .3409185- .0000003 .0000184 .0005384 .0085121 .08 .09 .0673805, .3759679 .0000005, .0000328 .0008477 .0118348 • 09 .10 .0814600 .4095100 .0000010 .0000550 .0012700 .0158500 .10 . n .0965117 -.4415941 .0000018 .0000878 .0018273 .0205936 .11 .12 .1124509' .4722681 .0000030 .0001344 .0025431 .0260947 • 12 • 13 ^ la .1291956 .5015791 .0000048 .0001986 .0034413 .0323759 .13 .14 .1466673 .5295730 .0000075, .0002850, .004-5469 .0394537 .14 • 15 t r .1647900 .5562947 .0000114 .0003987 .0058852 .0473386 • 15 • 16 .1834910 .5817881 .0000168 .0005453 .0074816 .0560359 • 16 • 17 .2027002 .6060959 .0000241 .0007312 .0093619 .0655457 • 17 • 18 .2223506 .6292602 .0000340 .0009637 .0115516 .0758631 .18 .19 .2423777 .6513216 .0000470 .0012504 .0140760 .0869790 • 19 • 20 .2627200 .6723200 .0000640 .0016000 .0169600 .0988800 .20 .21 .2833185, .6922944 .0000858 .0020216 .0202280 ' .1115487 .21 • c 2 .3041169 .7112826 .0001134 .0025253 .0239035- .1249641 .22 .23 .3250616 .7293216 .0001480 .0031216 .0280093 .1391020 • 23 • 24 .3461014 .7464475- .0001911 .0038221 .0325671 .1539352 • 25 .3671875 .7626953 .0002441 .0046387 .0375977 .1694336 •25 • 2b .3882738 .7780993 .0003089 .0055842 .0431203 .1855646 • 26 • 27 .4093166 .7926928 .0003874 .0066722 .0491530 .2022934 •27 . cO .4302743 .8065082 .0004819 .0079168 .0557124 .2195832 • 28 • <=9 Oa .4511077 .8195771 .0005948 .0093326 .0628136 .2373955- .29 • 30 ^ -i .4717800 .8319300 .0007290 .0109350 .0704700 .2556900 .3° • 31 .4922565- .8435969 .0008875, .0127400 .0786932 .2744255- • 3i • 32 or* .5125046 .8546066 .0010737 .0147640 . 0874932. .2935593 • 32 • 33 .5324940 .8649875- .0012915- .0170239 .0968779 .3130483 • 33 .34 .5521962 .8747667 .0015448 .0195372 .1068534 .3328483 • 34 • 35 .5715850 .8839709 .0018383 .0223218 .1174239 .3529148 • 35 • 36 O rr .5906359 .8926258 .0021768 .0253958 .1285914 .3732032 • 36 • 37 .6093266 .9007563 .0025657 .0287777 .1403559 .3936685, • 37 • 38 n r\ .6276363 .9083867 .0030109 .0324864 .1527154 .4142660 .38 • 39 .6455465- .9155404 .0035187 .0365408 .1656655, .4-349512 • 89 • 40 h .663o46o ' .9222400 .0040960 .0409600 .1792000 .4556800 .40 • 41 .6801017 .9285076 .0047501 .0457632 .1933103 .4764088 .41 hO .6967179 .9343643 .0054890 .0509696 .2079858 .4970949 .42 • 4j iiil .7128768 .9398308 .0063214 .0565983 .2232135, .5176963 • 43 • 44 he .7285679 .9449268 .0072563 .0626682 .2389786 .5381721 .44 • 43 h.2 .7437825 .9496716 .0083038 .0691980 .2552639 . 5584823 .45 la /* • 40 47 .7585132 .9540835- .0094743 .0762063 .2720502 .5785885, .46 •4 f k q .7727541 .9581805- .0107792 .0837109 .2893163 .6984534 .47 la O • 40 4q .7865008 .9619796 .0122306 .0917294 .3070388 .6180412 • 48 • 4y cn •7997501 .9654975- .0138413 .1002787 .3251924 .6373176 • 49 • 3U .8125000 .9687500 .0156250 .1093750 .3437500 .6562500 • 50 200 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n= 6 r= 2 n= 6 r= 1 n= 7 r- 7 n= 7 r= 6 n= 7 r= 5 n- 7 r- 4 P .01 .0014604 .0585199 .0000000 .0000000 .0000000 .0000003 .01 .02 .0056871 .1141576 .0000000 .0000000 .0000001 .0000053 .02 .03 .0124559 .1670280 .0000000 .0000000 '.0000005- .0000264 .03 .04 .0215528 .2172422 .0000000 .0000000 .0000020 .OOOO813 .04 .05 .0327738 .2649081 .0000000 .0000001 .0000060 .0001936 .05 .06 .0459248 .3101302 .0000000 .0000003 .0000147 .0003915- .06 .07 .0608207 .3530098 .0000000 .0000008 .0000313 .0007072 .07 .08 .0772859 .3936450- .0000000 .0000017 .OOOOoOO .0011763 .08 .09 .0951534 .4321307 .0000000 .0000034 .0001061 .OOI8366 .09 .10 .1142650 .4685590 .0000001 .0000064 .0001765 .0027280 .10 .11 .1344708 .5030187 .0000002 .0000112 .0002791 .0038916 .11 .12 .1556289 .5355959 .0000004 .0000188 .0004234 .0053693 .12 .13 .1776055- .5663738 .0000006 .0000300 .0006202 .0072028 .13 .14 .2002741 .5954328 .0000011 .0000464 .0008817 .0094339 .14 .15 .22-55157 .6228505- .0000017 .0000695- .0012216 .0121032 .15 • 16 .2472185. .6487020 .0000027 .0001013 .0016551 .0152503 • 16 .17 .2712775- .6730596 .0000041 .0001443 .0021984 .0189131 •17 • 18 .2955943 .6959933 .0000061 .0002014 .0628695- .0231276 .18 .19 .3200770 .7175705- .0000089 .0002757 .OO36873 .0279276 .19 .20 | .3446400 .7378560 .0000128 .0003712 .0046720 .0333440 .20 .21 I . 369203 .7569125, .0000180 .0004923 .0058450- .0394053 .21 .22 .3936934 .7748004 .0000249 .0006440 .0072285- .0461368 .22 .23 .4i8o4l4 .7915776 .0000340 .0008320 .0088458 .0535606 .23 .24 .4421844 .8073001 .0000459 .0010625, .0107209 .0616955- .24 .25 .4660645- .8220215- .0000610 .0013428 .0128784 .0705566 .25 • 26 .48Q6285- .8357935, .0000803' .0016805, .0153436 .0801558 .26 .27 .5128282 .8486058 .0001046 .0020843 .0181420 .0905009 .27 .28 .5356198 .8606859 .0001349 .0025637 .0212996 .1015962 r Q • cO .29 .5579638 .8713997 .0001725- .0031288 .0248421 .1134424 .29 .30 .5798250 .8823510 .0002187 .0037908 .0287955 .1260360 .30 . 3i .6011720 .8920818 .0002751 .0045618 .0331855- .1393702 .31 • 32 .6219773 .9011325, .0003436 .0054546 .0380373 .1534344 • 32 .33 .6422168 .9095416 .0004262 .0064852 .0433757 .1682141 . 33 .34 .6618702 .9173460 .0005252 .0076622 .0492247 .1836917 .34 .35 .6809201 .9245811 .0006434 .0090075, .0556075; .1998457 .35 • 36 .6993523 .9312805, .0007836 .0105356 .0625462 .2166517 .36 • 37 .7171556 .9374765- .0009493 ,0122642 .0700617 .2340816 • 37 .38 .7343215- .9431998 .0011442 .0142116 .0781734 .2521046 .38 • 39 .7508441 .9484796 .0013723 .0163973 .0868994 .2706869 • 39 .4o .7667200 .■9533440 .0016384 ,0188416 .0962560 .2897920 .40 .41 .7819481 .9573195- .0019475, .0215655- .1062575, .3093807 .41 .42 .7965294 .9619313 .0023054 .0245909 .1169164 .3294116 .42 .43 .8104670 .9657036 .0027182 .0279404 .1282428 .3498411 .43 .44 .8237658 .9691590 .0031928 .0316375, .1402448 > .3706237 .44 .45 i, r .8364326 .9723194 .0037367 .0357062 .1529277 .3917122 .45 .46 .8434755, .9752051 .0043582 ,0401710 .1662945 .4130579 • 46 .47 i* n ,8599045> .9778356 .0050662 .0450571 .1803454 .4346107 .47 1, O .48 .8707306 .9802294 .0058707 .0503900 .1950779 .4563199 .46 • 49 .8809663 .9824037 .0067822 .0561956 .2104864 .4781337 • 49 • 50 .8906250 .9343750 .0078125 .0625000 .2265625 .5000000 .50 201 BINOMIAL DISTRIBUTION Table B - Partial Sums n 2 s-r 8 q n “® p n= 7 r= 5 n= 7 r= 2 n- 7 r= 1 n= 8 r= 8 n- 8 r- 7 n- 8 r= 6 p .01 .0000340 .0020310 .0679347 .0000000 .0000000 .0000000 .01 .02 .0002636 .0078565, .131874.5- .0000000 .0000000 .0000000 .02 .03 .0008630 .OI70930 .1920172 .0000000 .0000000 .0000000 .03 .04 .0019838 .0293803 .2485525, .0000000 .0000000 .0000001 .04 .03 •0037570 .0443805, .3016627 .0000000 .0000000 .0000004 .05 .06 .0062940 .0617771 .3515224 .0000000 .0000000 .0000012 .06 .07 .0096876 .0812739 .5982991 .0000000 .0000001 .0000029 • 07 .08 .0140140 .1025946 .4421534 .0000000 .0000002 .0000064 .08 .09 .0193335- .1254814 .4832390 .0000000 .0000004 .0000127 .09 .10 .0256915 .1496944 .5217031 .0000000 .0000007 .0000234 .10 .11 .0331201 .1750111 .5576867 .0000000 .0000014 .0000407 .11 .12 .0416388 .2012250- . 5913244 .0000000 .0000026 .0000673 .12 .13 .0512558 .2281454 .6227452 .0000001 .0000044 .0001067 .13 .14 .0619685, .2555963 .6520722 .0000001 .0000074 .0001633 .14 • 15 .0737652 .2834159 .6794229 .0000003 .0000119 .0002423 .15 • 16 .0866251 .3114559 .7049097 .0000004 .0000185- .0003499 .16 .1005201 .3395804 .7286395- .0000007 .0000279 .0004935, .17 . 18 .1154147 .3676661 .7507145, .0000011 .0000413 .0006816 .18 .19 .1312677 .3956008 .7712321 .0000017 .0000596 .0009239 .19 .20 .1480320 .4232832 .7902848 .0000026 .0000845- .0012314 .20 .21 .1656562 .4506224 .8079609 .0000038 .0001176 .0016164 .21 .22 .1840845- .4775369 .8243443 .0000055- .0001611 .0020926 .22 .23 .2032581 .5039547 .8395148 .0000078 .0002176 .0026751 .23 .24 .2231150, .5298122 .8535481 .0000110 .0002899 .0033805, .24 • 25 .2435913 .5550537 .8665161 .0000153 .0003815- .0042267 .25 • 26 .2646212 .5796314 .8784872 .0000209 •0004964 .0052329 • 26 .27 .2861378 .6035043 ,8895260 .0000282 .0006391 .0064199 .27 . 28 .3080735- .6266383 .8996939 .0000378 .0008150- .0078097 .28 • 29 .3303603 .6490052 .9090488 .0000500, .0010298 .0094256 .29 • 30 .3529305 .6705828 .9176457 .0000656 .0012903 .0112922 .30 • 31 .3757169 .6913541 .9255365- .0000853 .0016040 .0134351 .31 • 32 .3986531 .7113070 .9327701 .0001100 .0019791 .0158811 .32 • 33 .4216739 .7304340 .9393929 .0001406 .0024250- .0186577 .33 .34 .4447157 .7487320 .9454484 .0001786 .0029518 .0217935- .34 • 35 .4677167 .7662014 .9509777 .0002252 .0035708 .0253175, .35 • 36 .4906169 .7828465- .9560195, .0002821 .0042944 .0292594 .36 • 37 .5133587 .7986743 .9606102 .0*003512 .0051358 .0336492 .37 • 3o .5358371 .8136952 .9647839 .0004348 .0061098 .0385171 • 38 • 89 .5581494 .8279219 .9685726 .0005352 .0072321 .0438932 .39 • 40 it i .5800960 .8413696 .9720064 .0006554 .0085197 .0498074 .40 •4i .6016799 .8540554 .9751135- .0007985- .0099909 .0562892 .41 .6228574 .8659932 .9779202 .0009683 .0116653 .0633676 .42 • 43 ii ii .6435877 .8772187 .9804510 .0012688 .0135637 .0710705- .43 • 44 Ji r .6638333 .8877388 .9827291 .0014048 .0157085- .0794247 .44 • 45 .6835599 .8975816 .9847756 .0016815/ .0181230 .0884559 .45 • 40 .7027366 .9067711 .9866107 .0020048 .0208321 .0981878 • 46 •47 .7213354 •9153321 .9882529 .0023811 .0238619 .1086426 .47 • Ho Jl A .7393321 .9232900 .9897193 .0028179 .0272400 .1198402 .48 • 49 .7567054 .9306706 .9910259 .0033233 .0309948 .131798] .49 .7734375 .9375000 .9921875 .0039062 .0351562 .1445312 • 50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 a-r s q n-s p n= 8 r= 5 3 n 03 4 II n= 8 r =■ 3 ns 8 rs 2 n- 8 r - 1 ir= 9 r= 9 p .01 .0000000 .0000007 .0000539 .0026901 .0772553 .0000000 .01 .02 .0000002 .0000105, .0004155- .0103369 .1492370 .0000000 .02 .03 .0000013 .0000515- .0013499 .0223408 .2162566 .0000000 .03 .04 .0000052 .0001574 .0030797 .0381472 .2786104 .0000000 .04 .05 .0000154 .0003718 .0057882 .0572447 .3365796 .0000000 .05 .06 .0000375 .0007456 .0096229 .0791618 .3904311 .0000000 .06 .07 .0000786 .0013359 .0146987 .1034657 .4404182 .0000000 .07 .08 .0001493 .0022033 .0211005- .1297593 .4867811 .0000000 .08 .09 .0002619 .0034113 .0288868 .1576795, .5297475- .0000000 .09 .10 .0004316 .0050244 .0380918 .1868953 .5695328 .0000000 .10 .11 .OOO6765 .0071068 .0487281 .2171054 .6063411 .0000000 .11 .12 .0010169 .0097216 .0607892 .2480369 .6403655- .0000000 .12 .13 .0014759 .0129297 .0742514 ,2794433 .6717883 .0000000 .13 .14 .0020790 .0167887 .0890764 .3111029 ,700782! .0000000 .14 *15 .0028539 .0213525- .1052128 .3428170 .7275095- .0000000 .15 .16 .0038303 .0268703 .1225980 .3744085- .7521241 .0000001 .16 .0050399 .0327863 .1411603 .4057205- .7747708 .0000001 .17 . 18 .0065160 .0397393 .1608200 .4366148 .7955859 .0000002 .18 *19 .0082929 .0475622 .1814910 .4669707 .8146980 .0000003 .19 .20 .0104064 .0562816 .2030822 .4966835, .8322278 .0000005, .20 • 21 i .0128926 .0659180 .2254991 . 5256634 .8482891 .0000008 .21 .22 ' .0157883 .0764853 .2486441 .5538346 .8629886 .0000012 .22 .23 .0191302 .0879910 .2724183 .5811335, .8764264 .0000018 .23 .24 .0229548 .1004362 .2967223 .6075088 .8886965, .0000026 .24 *25 .0272980 .1138153 .3214569 .6329193 .8998871 .0000038 .25 • 26 .0321948 .1281168 .3465239 •6573339 .9100805, .0000054 • 26 .0376789 .1433229 .3718268 .6807302 .9193540 .0000076 • c. 8 .0437826 .1594099 .3972716 .7030939 .9277796 .0000106 . c 8 • 29 .0505362 .1763486 .4227673 .7244179 .9354246 .0000145, •29 .30 .0579676 .1941044 .4482262 .7447017 .9423520 .0000197 .30 . 3l ,0661027 .2126377 .4735644 .7639506 .9486202 .0000264 .31 • 32 .0749644 .2319043 .4987023 .7821752 .9542837 .0000352 .32 . 33 .0845724 .2518558 .5235647 .7993904 .9593932 .0000464 .33 .34 .0949435- .2724399 .5480813 .8156156 .9639959 .0000607 .34 • 35 .1060909 .2936006 .5721863 .8308731 .9681355, .0000788 • 35 • 36 .1180242 .3152791 .5958195, .8451888 .9718525, .0001016 • 36 • 37 .1307490 •3374141 .6189255, .8585906 .9751844 .0001300 • 37 .38 .1442673 .3599420 .6414542 .8711089 .9781660 .0001652 .38 • 39 i. ^ .I585766 .3827973 .6633607 .8827757 .9808293 .0002087 » 39 .40 1. ^ .1738704 .4059136 .6846054 .8936243 .9832038 .0002621 .40 .41 .1895380 .4292234 .7051559 .9036892 .9853170 .0003274 .41 .42 .2061644 .4526588 .7249765, .9130054 .9871937 .0004067 .42 .43 ). i. .2235301 .4761522 .7440490 .9216086 .9888571 .0005026 .43 .44 .2416115, .4996359 .7623517 .9295345, ,9903283 .0006181 .44 • 45 i. r .2603807 .5230437 .7798697 .9368189 .9916266 .0007567 • 45 ll ^ • 46 .2798656 .5463101 .7965925- ,9434974 .9927698 .0009222 .46 • 47 Ji Q .2998501 .5693713 .8125139 .9496049 .9937740 .0011191 .47 l| Q • 4o .3204741 .5921658 .8276319 .9551761 .9946540 .0013526 • 4o .49 .3416336 .6146339 .8419484 ,9602447 .9954232 .0016284 • 49 • 50 .3632812 . 6367188 .8554688 .9648438 .9960938 .0019531 • 50 203 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s n= 9 r= 8 n- 9 r- 7 n= 9 r= 6 n= 9 r= 5 n- 9 r= 4 .0000000 .0000000 .0000000 .0000000 .0000012 .0000000 .0000000 .0000000 .0000004 .0000186 .0000000 .0000000 .0000001 .0000028 .0000904 .0000000 .0000000 .0000003 .0000113 .0002743 .0000000 .0000000 .0000012 .0000332 .0006426 .0000000 .0000001 .0000033 . .0000798 .0012783 .0000000 .0000003 .0000082 .0001666 .0022713 .0000000 .0000007 .0000178 .0003136 .0037151 .0000000 .0000015- .0000351 .0005453 .0057041 .0000001 .0000030 .0000642 .0008909 .0083311 .0000002 .0000057 .0001106 .COI3838 .0115851 .0000003 .0000103 .0001813 .0020615- .0158497 .0000006 .0000177 .0002847 .0029649 .0209015, .0000012 .0000292 .0004315, .0041384 .0269090 .0000020 .0000464 .0006340 .0056287 .0339315, .0000033 .0000715, .0009068 .0074847 .0420187 .0000053 .0001071 .0012664 .0097568 .0512099 .0000083 .0001565, .0017318 .0124962 .0615338 .0000127 .0002238 .0023240 .0157541 .0730086 .0000189 .0003139 .0030664 .0195814 .0856417 .0000277 .0004323 .0039844 .0240280 .0994300 .0000397 .0005861 .0051056 .0291417 .1143602 .0000561 .0007828 .0064598 .0349682 .1304093 .0000779 .0010316 .0080784 .0415503 .1475448 .0001068 .0013428 .0099945, .0489273 .1657257 •0001445, .0017279 .0122430 .0571345- .1849026 .0001932 .0021999 .0148598 .0662028 .2050189 .0002554 .0027735- .0178821 .0761583 .2260112 .0003342 .0034646 .0213477 .0870218 .2478100 .0004330 .0042909 .0252948 .0988087 .2703409 .0005561 .0052716 .0297621 .1115286 .2935250- .0007081 .0064277 .0347877 .1251852 .3172797 .0008945- .0077818 .0404096 .1397759 .3415198 .0011215- .0093580 .0466645- .1552923 .3661579 .0013962 .0111822 .0535882 .1717193 .3911056 .0017265, .0132818 .0612147 .1890360 .4162737 .0021215, .OI56858 .0695762 .2072151 .4415733 .0025913 .0184246 .0787022 .2262237 .4669166 .0031470 .0215299 .0886197 .2460227 .4922170 .0038011 .0250348 .0995526 .2665677 .5173903 .0045674 .0239732 .1109212 .2878090 .5423549 .0054610 .0333803 .1233422 .3096920 .3670323 .0064986 .0382916 .1306281 .3321576 .5913478 .0076984 .0437436 .1507869 .3551423 .6152309 .0090802 .0497728 .1656220 .378579] .6386154 .0106653 .0564157 .1817320 .4023977 .6614400 .0124771 .0637089 .1985102 .4265251 .6836483 .0145405, .0716881 .2161445- .4508861 .7051895, .0168823 .0803884 .2346175, .4754037 .7260180 .0195312 .0898437 .2539062 .5000000 .7460938 n- 9 r= 3 .01 .02 .03 .04 .03 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 • 27 .28 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .4o .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 .0000803 .0006139 .0019796 .0044824 .OO836IO .0137953 .0209123 .0297932 .0404781 .0529721 .0672496 .0832589 .1009264 .1201601 .1408534 .1628877 .1861356 .2104631 .2357321 .2618025- .2885336 .3157860 .3434228 .3713111 .3993225, .4273345- • 4552307 . *1829018 .5102460 .5371688 . 56358*11 .5894136 .6145872 .6390429 .6627267 .6855925- .7076016 .7287230 .7489326 .7682130 .7865533 .8039487 .8203997 .8359122 .8504969 .8641687 .8769467 .8888531 .8999136 .9101563 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 •!7 .18 .19 .20 .21 .22 .23 .24 .25 • 26 :3 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 204 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p n= 9 r= 2 n- 9 r* 1 n=10 r=10 n=10 r= 9 n=10 r- 8 n=10 7 p .01 .0034357 .0864828 .0000000 .0000000 .0000000 .0000000 .01 .02 .0131149 .1662522 .0000000 .0000000 .0000000 .0000000 .02 .03 .0281582 .2397689 .0000000 .0000000 .0000000 .0000000 .03 .04 .0477658 .3074660 .0000000 .0000000 .0000000 .0000000 .04 .03 .0712114 .5697506 .0000000 .0000000 .0000000 .0000001 .05 .06 .0978380 .4270052 .0000000 .0000000 .0000000 .0000003 .06 .07 .1270524 .4795889 .0000000 .0000000 .0000000 .0000008 .07 .08 .1583210 .5278386 .0000000 .0000000 .0000001 .0000020 .08 .09 .1911657 .'5720702 .0000000 .0000000 .0000002 .0000045- .09 .10 .2251590 .6125795, .0000000 .0000000 .0000004 .0000091 .10 .11 .2599213 .6496436 .0000000 .0000000 .0000008 .0000173 .11 .12 .2951163 .6835216 .0000000 .0000000 .0000015, .0000308 .12 .13 .3504482 .7144558 .0000000 .0000001 .0000029 .0000525- .13 .14 .3656580 .7426726 .0000000 .0000002 .0000051 .0000856 .14 .15 .4005208 .7683831 .0000000 .0000003 .0000087 .0001346 .15 • 16 .4348430 .7917843 .0000000 .0000006 .0000142 .0002051 .16 .17 .4684590 .8130597 .0000000 .0000010 .0000226 .0003042 .17 . 18 .'5012296 .8323804 .0000000 .0000017 .0000350, .0004401 .18 .19 .5550389 .8499054 .0000001 .0000027 .0000528 .0006229 .19 .20 .5637924 .8657823 .0000001 .0000042 .0000779 .0008644 .20 .21 .5954148 .8801484 .0000002 .0000064 .0001127 .0011783 .21 .22 .6218484 .8951511 .0000003 .0000097 .0001599 .0015804 .22 .23 .6490509 .9048483 .0000004 .0000143 .0002232 .0020885, .23 .24 .6749958 .9154094 .0000006 .0000207 .0003068 .0027228 .24 .25 .6996613 .9249155 .0000010 .0000296 .0004158 •0035057 .25 . 26 .7230486 .9554596 .0000014 .0000416 .0005362 .0044618 • 26 .27 .7451586 .9411284 .0000021 .000057-7 .0007350, .0056181 •27 .28 .7660059 .9480015 .0000030 .0000791 .0009605- .0070039 ,28 .29 .7856098 .9541515- .0000042 .0001072 .0012420 .0086507 .29 .30 .8039968 .9596484 .0000059 .0001437 .0015904 .0105921 .30 • 3i .8211982 .9645479 .0000082 .0001906 .0020179 .0128637 .31 • 32 .8372499 .9689129 .0000113 .0002505, .0025384 .0155029 .32 . 33 .8521914 .9727955- .0000155 .0003263 .0031673 .0185489 .33 .34 .8680649 .9762373 .0000206 .0004214 .0039219 .0220422 .34 • 35 .8789150- .9792881 .0000276 .0005399 .0048213 .0260243' .35 .36 .8907877 .9819856 .0000366 .0006865, .0058864 .0305376 .36 • 37 .9017503 .9843662 .0000481 .0008668 .0071403 .0356252 .37 .38 .9117905 .9864629 .0000628 .0010871 .0086079 .0413301 .38 .39 .9210166 .9883059 .0000814 .0013546 .0103163 .0476949 .39 .40 .9294561 .9899223 .0001049 .0016777 .0122946 .0547619 .40 .4l •9571566 .9915570 .0001342 .0020658 .0145738 .0625719 .41 .42 .9441645- .9925723 .0001708 .0025295- .0171871 .0711643 .42 .43 .9505255- .9956485,. .0002161 .0030809 .0201696 .0805763 .43 .44 .'9562838 .9945858 .0002720 .0037335- .0235583 .0908427 .44 .45 .9614824 .9955946 .0003405, .0045022 .0273918 .1019949 .45 .46 .9661627 .9960957 .0004242 .0054040 .0317105, .1140612 • 46 .47 .9703644 .9967002 .0005260 .0064574 .0365560 .1270655- .47 .48 .9741255- .9972201 .0006495 .0076828 .0419713 .1410272 .48 • 49 .9774822 .9976658 .0007979 .0091028 .0480003 .1559607 .49 • 50 .9804683 .0980469 .0009766 .0107422 .0546875 .1718750 • 50 205 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r p n=10 6 n=10 r= 5 n>10 r= 4 n=10 r- 3 n=10 r= 2 n=10 r= 1 P .01 .0000000 .0000000 .0000020 .OOOII38 .0042662 .0956179 .01 .02 .0000000 ..0000007 .0000305, .0008639 .OI61776 .1829272 .02 .03 .•0000001 .0000054 .0001471 .0027650- .0345066 .2625759 .03 .04 .0000007 ..0000218 .•0004426 .0062137 .0581538 .3351674 .04 .05 .0000028 .OOOO637 .0010285- .0115036 .0861384 .4012631 .05 .06 .0000079 ,0001517 .0020293 .OI88378 .1175880 .4613849 .06 .07 .0000193 .0003139 .0035761 .0283421 .1517299 .5160177 • 07 .08 .0000415- .0005857 .OO58OI3 .0400754 .1878825- .5656115, .08 .09 .0000810 .0010096 .OO88338 .0540400 .2254471 .6105839 .09 .10 .0001469 .0016349 .0127952/ .0701908 .2639011 .6513216 .10 .11 .0002507 .0025170 .0177972 .0884435- .3027908 .6881828 .11 .12 .0004069 .0037161 .0239388 .1086818 .3417250- .7214990 .12 .13 .OOO6332 .0052967 .0313048 .1307642 .3803692 .7515766 .13 .14 .0009505- .0073263 .0399642 .1545298 .4184400 .7786984 .14 .15 .OOI3832 .0098741 .0499698 .1798035, .4557002 .8031256 .13 • 16 .0019593 .0130101 .0613577 .2064005, .4919536 .8250988 .16 .17 .0027098 .OI68038 .0741472 .2341305, .5270412 .8448396 .17 .18 .0036694 .0213229 .0885411 .2628010 .5608368 .8625520 .18 .19 .0048757 .0266325- .1039261 .2922204 .5932435, .8784233 .19 .20 .0063694 .0327935- .1208739 .3222005- .6241904 .8926258 .20 .21 .0081955, .0398624 .1391418 .3525586 .6536289 .9053172 .21 .22 .0103936 .0478897 .1586739 .3831197 .6815306 .9166422 .22 .23 .0130167 .0569196 .1794024 .4137173 .7078843 .9267332 .23 .24 .0161116 .0669890 .2012487 .4441949 .7326936 .9357111 .24 .25 .0197277 .0781269 .2241249 .4744072 .7559748 .9436865- .25 .26 .0239148 .0903542 .2479349 .5042200 .7777550, .9507601 .26 .27 .0287224 .IO3683I .2725761 .5335112 .7980705- .9570237 • 27 .28 .0341994 .1181171 .2979405, .5621710 .8169646 .9625609 .28 .29 .0403932 .1336503 .3239164 .5901015- .8344869 .9674476 .29 .30 .0473490 .1502683 .3503893 .6172172 .8506917 .9717525- .30 . 3i .0551097 .1679475- .3772433 .6434445- .8656366 .9755381 .31 • 32 .0637149 .1866554 .4043626 .6687212 .8793821 .9788608 .32 .33 .0732005- .2063514 .4316320 .6929966 .8919901 .9817716 .33 .34 .0835979 .2269866 .4589388 .7162304 .9035235, .9843166 .34 .35 .0949341 .2485045- .4861730 .7383926 .9140456 .9865373 .35 • 36 .1072304 .2708415, .5132284 .7594627 .9236190 .9884708 .36 •37 .1205026 .2939277 .5400038 .7794292 .9323056 .9901507 .37 .38 .1347603 .3176870 .5664030 .7982887 .9401661 .9916070 .38 .39 .1500068 .3420385- .5923361 .8160453 .9472594 .9928666 .39 .4o .1662386 .3668967 .6177194 .8327102 .9536426 .9939534 .40 .41 .1834452 .3921728 .6424762 .8483007 .9593705, .9948888 .41 • 42 .2016092 .4177749 .6665372 .8628393 .9644958 .9956920 .42 .43 .2207058 .4436094 .6898401 .8763538 .9690684 .9963797 .43 .44 .2407033 .4695813 .7123307 .88887-,7 .9731358 .9969669 .44 .45 .2615627 .4955954 .7339621 .9004403 .9767429 .9974670 .45 .46 .2832382 .5215571 .7546952 .9110859 .9799319 .9978917 .46 .47 .3056772 .5473730 ,.7744985, .9208530 .9827422 .9982511 .47 .48 .3288205- .5729517 ,7933480 .9297839 .9852109 .9985544 .48 .49 .3526028 ,5982047 .8112268 .9379222 .9873722 .9988096 .49 • 50 .3769531 .6230469 .8281250 .9453125 .9892578 .9990234 .50 206 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=ll r-11 n=ll r=10 n=l'l r= 9 n=ll r= 8 n=ll r= 7 n=ll r= 6 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 ,0000000 • 01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000016 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000002 .0000058 .05 .06 .0000000 .0000000 .0000000 .0000000 .00000*07 .0000166 .06 .07 .0000000 .0000000 .0000000 .0000001 .0000021 .0000399 .07 .08 .0000000 .0000000 .0000000 .0000002 .0000052 .0000850, .08 .09 .0000000 .0.000000 .0000000 .0000006 .0000114 .0001646 .09 .10 .0000000 .0.000000 .0000000 .0000012 .0000229 .0002957 .10 .11 .0000000 .0000000 .0000001 .0000026 .0000429 .0005000- .11 .12 .0000000 .0000000 .0000002 .0000051 .0000760 .0008040 .12 .13 .0000000 .0000000 .0000005- .0000093 .0001279 .0012394 .13 .14 .0000000 .0000000 .0000009 .0000164 .0002066 .0018431 .14 .15 .0000000 .0000001 .0000016 .0000276 .0003219 .0026569 .15 .16 .0000000 .0000001 .0000028 .0000448 .0004858 .0037274 .16 .17 .0000000 .0000002 .0000047 .0000705- .0007131 .0051058 .17 .18 .0000000 .0000003 .0000077 .0001079 .0010214 .0068470 .18 .19 .0000000 .0000006 .0000122 .0001611 .0014309 .0090095, •19 .20 .0000000 .0000009 .0000189 .0002352 .0019654 .0116542 .20 .21 .0000000 .0000015- .0000287 .0003364 .0026515- .0148440 .21 .22 .0000001 .0000023 .0000427 .0004724 .0035193 .0186427 .22 .23 .0000001 .0000036 .0000623 .0006522 .0046020 .0231144 .23 .24 .0000002 .0000055- .0000894 .0008867 .0059361 .0283222 .24 .25 .0000002 .0000081 .0001261 .0011883 .0075612 .0343275, .25 .26 .0000004 .0000119 .0001754 .0015716 .0095196 .0411890 • 26 .27 .0000006 .0000171 .0002406 .0020534 .0118563 .0489618 .27 .28 .0000008 .0000243 .0003259 .0026526 .0146187 .0576964 .28 .29 .0000012 .0000341 .0004363 .0033905, .0178560 .0674377 • 29 .30 .0000018 .0000472 .0005777 .0042909 .0216192 .0782248 .30 .31 .0000025, .0000648 .0007571 .0053801 .0259599 .0900894 .31 .32 .0000036 .0000878 .0009826 .0066870 .0309308 .1030559 .32 • 33 .0000051 .0001179 .0012638 .0082432 .0365839 .1171403 .33 .34 .0000070 .0001569 .0016116 .0100828 .0429711 .1323501 .34 .35 .0000097 .0002069 .0020384 .0122423 .0501427 .1486837 .35 • 36 .0000132 .0002706 .0025585- .0147609 .0581470 .1661304 .36 .37 .0000178 .0003510 .0031880 .0176797 .0670298 .1846699 .37 .38 .0000239 .0004520 .0039450, .0210423 .0768336 .2042725- .38 .39 .0000317 .0005780 .0048497 .0248940 .0875966 .2248992 .39 .40 .0000419 .0007340 .0059245- .0292815- .0993526 .2465019 .40 .41 .0000550, .0009262 .0071941 .0342530 .1121300 .2690235, .41 .42 .0000717 .0011615- .0086857 .0398575, .1259511 .2923988 .42 .43 .0000929 .0014480 .0104290 .046144-5, .1408320 .3265543 .43 .44 .0001197 .0017950, .0124564 .0 53163 2 ! .1567813 .3414096 .4.4 .45 .0001532 .0022133 .0148026 .0609632 .1738004 . 366877*; .45 .46 .0001951 .0027149 .0175050, .0695918 .1918826 .3928649 .46 .47 .0002472 .0033137 .0206038 .0790955- .2110130 .4192743 .47 .48 .0003116 .0040254 .0241413 .0895181 .2311679 .4460035- .48 .49 .0003910 .0048673 .0281626 .1009009 .2523153 ,4729477 .49 • 50 .0004883 .0058594 .0327148 .1132812 .2744141 .5000000 .50 207 BINOMIAL DISTRIBUTION Table £ - Partial Sums n 2 s-r 8 q n -® p n-11 r= 5 n-11 r= 4 n=ll r- 5 n*ll r- 2 n-l‘l r»l n*12 r*12 p .01 .0000000 .0000051 .0001554 .0051797 .1046617 .0000000 .01 .02 .0000015 .0000472 .0011702 .0195126 .1992686 .0000000 .02 .03 .0000096 .0002256 .0057172 .0413486 .2846986 .0000000 .03 .04 .0000586 .0006754 .0082915 .0692343 .3617607 .0000000 .04 .05 .0001119 .0015525 .0152553 .1018946 .4311999 .0000000 .05 .06 .0002644 .0050578 .0247628 .1382158 .4937018 .0000000 .06 .07 .0005425 .0055098 .0369793 .1772301 .5498965- .0000000 .07 .08 .0010050 .0085455. .0519000 .2181008 .6003626 .0000000 .08 .09 .0017158 .0129025 .0694666 .2601094 .6456313 .0000000 .09 .10 .0027510 .0185548 .0895619 .3026431 .6861894 .0000000 .10 .11 .0041978 .0255685 .1120217 .3451839 .7224827 .0000000 .11 .12 .0061428 .0541080 .1566470 .3872979 .7549191 .0000000 .12 .13 .0086777 .0442-545“ .1652129 .4286261 .7838716 .0000000 .13 .14 .0118956 .0560055 .1914773 .4688762 .8096806 .0000000 .14 .15 .0158884 .0694449 .2211880 .5078140 .8326568 .0000000 .15 .16 .0207458 .0845646 .2520890 .5452568 .8530830 .0000000 .16 .17 .0265522 .1015444 .2859254 .5810669 .8712169 .0000000 .17 .18 .0555862 .1197459 .5164475- .6151455, .8872926 .0000000 .18 .19 .0417182 .1597020 .5494148 .6474277 .9015229 .0000000 .19 .20 .0504096 .1611592 .5825985- .6778775- .9141007 .0000000 .20 .21 .0607111 .1859593 .4157854 .7064834 .9252006 .0000000 .21 .22 .0722625 .2080520 .4487701 .7332552 .9349809 .0000000 .22 .23 .0850907 .2552948 .4815757 .7582195, .9435846 .0000000 .23 .24 .0992115 .2595558 .5154546 .7814178 .9511404 .0000000 .24 .25 .1146264 .2866955- .5447991 .8029027 .9577649 .0000001 .25 • 26 .1515252 .5145690 .5753391 .8227363 .9635625- .0000001 • 26 .27 .1492842 .5450286 .6049422 .8409878 .9686273 .0000002 .27 .28 .1684676 ..5719251 .6535132 .8577316 .9730439 .0000002 .28 .29 .1888275, .4011101 .6609733 .8730455, .9768878 .0000004 .29 .30 .2105046 .4504577 .6872595, .8870099 .9802267 .0000005, .30 .31 .2528292 .4597657 .7123240 .8997060 .9831213 .0000008 .31 .32 .2565217 .4889575 .7361327 .9112152 .9856253 .0000012 .32 *33 .2806940 .5178825 .7586644 .9216180 .9877870 .0000017 .33 .34 .5058504 .5464180 .7799101 .9309932 .9896490 .0000024 .34 .35 .5516885- .5744499 .7998711 .9394177 .9912492 .0000034 .35 .36 .5581008 .6018728 .8185590 .9469656 .9926213 .0000047 .36 .37 .5849758 .6285912 .8359935- .9537083 .9937949 .0000066 .37 .38 .4121991 .6545196 .8522021 .959713.6 .9947963 .0000091 .38 .39 .4596545, .6795827 .8672188 .9650462 .9956486 .0000124 .39 .40 .4672258 .7037157 .8810832 .9697669 .9963720 .0000168 .40 .41 .4947972 .7268643 .8938393 .9739330 .9969844 .0000226 .41 .42 .5222551 .7489841 .9055350, .9775982 .9975013 .0000301 .42 .43 .5494886 .7700410 .9162210 .9808122 .9979364 .0000400 .43 .44 .5765910 .7900105- .9259501 .9836215, .9983015“ .0000527 .44 .45 .6028604 .8088773 .9347765- .9860688 .9986069 .0000690 .45 .46 .6288006 .8266549 .9427551 .9881934 .9988615, .0000898 .46 .47 .6541220 .8452851 .9499409 .9900314 .9990731 .0001162 .47 .48 .6787420 .8588572 .9563888 .9916158 .9992483 .0001496 .48 .49 .7025856 .8753076 .9621527 .9929765- .9993929 .0001916 .49 .50 .7255859 .8867188 .9672852 .9941406 .9995117 .0002441 .50 £08 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r S q Il-8 p n-12 r-11 n=12 r=10 n-12 r= 9 n-12 r- 8 n=12 r= 7 n=12 r- 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 ..0000000 .0000000 .0000000 .0000001 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000001 .0000031 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000005- .0000111 .05 .06 .0000000 .0000000 .0000000 .0000001 .0000017 .0000314 .06 .07 .0000000 .0000000 .0000000 .0000002 .0000048 .0000751 .07 .08 .0000000 .0000000 .0000000 .0000006 .0000116 .0001584 .08 .09 .0000000 .0000000 .0000001 .0000015, .0000252 .0003040 .09 .10 .0000000 .0000000 .0000002 .0000034 .0000502 .0005412 .10 .11 .0000000 .0000000 .0000004 .0000070 .0000932 .0009067 .•11 .12 .0000000 .0000000 .0000008 .0000136 .0001633 .0014446 .12 •13 .0000000 .0000000 .0000016 .0000247 .0002724 .0022064 .13 .14 .0000000 .0000001 .0000030 .0000430 .0004357 .0032504 .14 .15 .0000000 .0000003 .0000055- .0000717 .0006721 .0046416 .15 .16 .0000000 .0000005, .0000095- .0001153 .0010045- .0064503 .16 .17 .0000000 .0000010 .0000159 .0001797 .0014599 .0087517 .17 .18 .0000001 .0000016 .0000257 .0002723 .0020700 .0116241 .18 .19 .0000001 .0000028 .0000405- .0004024 .0028708 .0151482 .19 .20 1 .0000002 .0000045, .0000622 .0005812 .0039031 .0194053 .20 .21 .0000003 .0000072 .0000934 .0008226 .0052119 .02-44761 .21 .22 ; .0000006 .0000112 .0001373 .0011427 .0068464 .0304390 .22 .23 i .0000009 .0000171 .0001980 .0015607 .0088599 .0373689 .23 .24 ! .0000014 .0000256 .0002807 .0020985, .0113088 .04-53356 .24 .25 i .0000022 .0000376 .0003917 .0027815, .0142528 .0544022 .25 .26 ! .0000034 .0000544 .0005384 .0036381 .0177536 .0646244 .26 t2 l .0000050, .0000774 .0007301 .0047002 .021-8748 .0760489 .27 .28 .0000074 .0001087 .0009774 .0060031 .0266804 .0887123 .28 .29 .0000107 .0001507 .0012930 .0075855, .0322347 .1026408 .29 .30 .0000154 .0002064 .0016917 .0094894 .0386008 .1178487 .30 .31 .0000218 .0002794 .0021902 .0117598 .04584-01 .1343387 .31 .32 .0000306 .0003742 .0028080 .0144450, .0540108 .1521009 .32 • 33 .0000423 .0004961 .0035670 .0175957 .0631675, .1711130 .33 .34 .0000580 .0006515- .0044918 .0212648 .0733600 .1913402 .34 .35 .0000787 .0008479 .0056098 .0255075- .0846321 .2127354 .35 •36 .0001058 .0010942 .0069513 .0303799 .0970210 .2352397 .36 .37 .0001411 .0014007 .0085500- .0359393 .1105567 .2587831 '.37 .38 .0001866 ,0017794 .0104420 .0422430 .1252603 .2832846 .38 .39 .0002448 .0022439 .0126670 .•0493480 .1411446 .3086538 .39 .4o .0003188 .0028102 .0152673 .0573099 .1582123 .3347914 .40 .41 .0004122 .0034960 .0182882 .0661826 .1764563 .3615907 .41 .42 .0005294 .0043216 .0217779 .0760168, .1958591 .3889384 .42 .43 .0006756 .0053098 .0257867 .0868601 .2163926 .4167161 .43 .44 .0008568 .0064860 .0303675- .0987553 .2380178 .4448014 .44 .45 .0010803 .0078785- .0355749 .1117400 .2606851 .4730698 .45 .46 .0013542 .0095184 .0414650- .1258456 .2843345- .5013954 .46 .47 .0016885- .0114400 .0480949 .1410967 .3088958 .5296527 .47 .48 .0020942 .0136810 .0555222 .1575100 .3342890 .5577180 .48 .49 .0025844 .0162820 .0638044 .1750940 .3604252 .5854703 .49 .50 .0031738 .0192871 .0729980 .1938477 .3872070 .6127930 .50 209 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n=12 r- 5 n=12 r= 4 n»12 r= 3 n=12 r ~ 2 n=12 r= 1 n-13 r-13 p .01 .0000001 .0000046 .0002056 .0061745, .1136151 .0000000 .01 .02 .0000023 .OOOO696 .0015370 .0231078 .2152833 .0000000 .02 .03 .0000161 .0003304 .0048461 .0486491 .3061576 .0000000 .03 .04 .oooo64o .0009782 .0107290 .0809354 .3872902 .0000000 .04 .03 .0001839 .0022364 .0195683 .1183599 .4596399 .0000000 .05 .06 .0004308 .0043413 .0315700 .1595^50- .5240797 .0000000 .06 .07 .0008760 .0075266 .0467968 .2033167 .5814037 .0000000 • 07 .08 .0016062 .0120118 .0651960 .2486817 .6323336 .0000000 .08 .09 .0027207 .0179931 .0866245- .2948064 .6775245, .0000000 .09 .10 .0043293 .0256375- .1108700 .3409977 .7175705- .0000000 .10 .11 .0065486 .0350782 .1376695, .3866868 .7530096 .0000000 .11 .12 .0094986 .0464127 .1667251 .4314124 .7843288 .0000000 .12 .13 .0133001 .0597017 . 1977166 .4748081 .8119683 .0000000 .13 .14 .0180707 .0749697 . 2303131 .5165888 .8363254 .0000000 .14 .15 .0239219 .0922063 .2641819 .5565404 .8577582 .0000000 .15 .16 .0309568 .III3685- .2989959 .5945090 .8765897 .0000000 .16 .17 .0392669 .1323832 .3344394 .6303924 .8931100 .0000000 .17 .18 .0489306 .1551505, .3702131 .6641320 .9075799 .0000000 .18 .19 .0600112 .1795475- .4060373 .6957058 .9202336 .0000000 .19 .20 .0725555 .2054311 .4416543 .7251221 .9312805, .0000000 .20 .21 .0865932 .2326424 .4768304 .7524140 .9409085- .0000000 .21 .22 .1021360 .2610100 .5113568 .7776348 .9492851 .0000000 .22 .23 .1191776 .2903534 .5450498 .8008535- .9565601 .0000000 .23 .24 .1376940 .3204867 .5777506 .8221512 .9628667 .0000000 .24 .25 .1576437 .3512214 .6093250- .8416182 .9683236 .0000000 .25 • 26 .1789686 .3823692 .6396624 .8593511 .9730362 .0000000 • 26 .27 .2015952 .4137453 .6686745, .8754505, .9770980 .0000000 .27 .28 .2254357 .4451697 .6962943 .8900190 .9805916 .0000001 .28 .29 .2503895- .4764704 .7224742 .9031598 .9835903 .0000001 . .29 • 30 .•2763445, .5074842 .7471847 .9149749 .9861587 .0000002 .30 • 3i .3031795- .5380588 .7704125- .9255648 .9883537 .0000002 .31 .32 .3307653 .5680534 .7921591 .9350265- .9902252 .0000004 .32 *33 .3589662 .5973 404 .8124391 .9434537 .9918173 .0000006 .33 .34 .3876433 .6258053 .8312783 .9509361 .9931683 .0000008 .34 .35 . 4166550- .6533473 .8487124 .9575587 .9943120 .0000012 .35 • 36 .4458587 .6798798 .8647854 .9634017 .9952776 .0000017 .36 • 37 .4751135, .7053300 .8795480 .9685403 .9960908 .0000024 .37 .38 .5042809 .7296389 .8930565- .9730451 .9967737 .0000034 .38 .39 .5332265, .7527608 .9053715- .9769811 •9973457 .0000048 .39 .40 .5618218 .7746627 .9165567 .9804090 .9978232 .0000067 .40 .41 .5899447 .7953240 .9266777 .9833841 .9982208 .0000093 .41 .42 .6174813 .8147355- .9358016 .9859575, .9985508 .0000127 .42 .43 .6443261 .8328984 .9439953 .9881756 .9988238 .0000172 .43 .44 .6703836 .8498239 .9513255, .9900807 .9990488 .0000232 .44 .45 .6955680 .8655319 .9578580 .9917109 .9992338 .0000310 .45 .46 .7198044 .8800502 .9636567 .9931007 .9993852 .0000413 .46 .47 .7430287 .8934134 .9687835- .9942810 .9995087 .0000546 .47 .48 .7651877 .9056620 .9732978 .9952794 .9996091 .0000718 .48 .49 .7862393 .9168417 .9772563 .9961205, .9996904 .0000939 .49 • 50 .8061523 .9270020 .9807129 .9968262 .9997559 .0001221 .50 ■ . .-J 210 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-a p ri-13 r=12 n=13 r =11 n=13 r=10 n»l3 r= 9 n=13 r = 8 n=13 r= 7 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000010 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000002 .0000035- .06 .07 .0000000 .0000000 .0000000 .0000000 .0000005, .0000097 .07 .08 .0000000 .0000000 .0000000 .0000001 .0000015- .0000233 .08 .09 .0000000 .0000000 .0000000 .0000002 .0000037 .0000503 .09 .10 .0000000 .0000000 .0000000 .0000005- .0000081 .0000993 .10 .11 .0000000 .0000000 .0000001 .0000011 .0000165, .0001827 .11 .12 .0000000 .0000000 .0000001 .0000023 .0000315, .0003171 .12 .13 .0000000 .0000000 .0000003 .0000046 .0000569 .0005239 .13 .14 .0000000 .0000000 .0000006 .0000086 .0000980 .0008298 .14 .15 .0000000 .0000001 .0000011 .0000154 .0001618 .0012675, .15 .16 .0000000 .0000001 .0000020 .0000264 .0002576 .0018758 .16 .17 .0000000 .0000002 .0000035- .0000437 .0003974 .0026995- .17 .18 .0000000 .0000003 .0000060 .0000701 .0005959 .0037897 .18 .19 .0000000 .0000006 .0000099 .0001093 .0008714 .0052035, .19 .20 .0000000 .0000011 .0000161 .0001660 .0012456 .0070036 .20 • 21 .0000001 .0000018 .0000253 .0002465, .0017444 .0092574 .21 .22 | .0000001 .0000029 .0000390 .0003585- .0023975, .0120368 .22 .23 .0000002 .0000046 .0000587 .0005114 .0032395- .0154169 .23 .24 .0000004 .0000072 .0000868 .0007170 .0043090 .0194752 .24 .25 .0000006 .0000111 .0001261 .0009891 .0056493 .0242901 .25 .26 .0000009 .0000166 .0001802 .0013443 .0073081 .0299400 .26 .27 .0000015“ .0000246 .0002536 .0018020 .0093373 .0365018 •27 .28 .0000022 .0000358 .0003520 .0023846 .0117928 .0440494 .28 .29 .0000034 .0000513 .0004820 .0031178 .0147338 .0526525- .29 • 30 .0000050- .0000727 .0006520 .0040310 .0182228 .0623752 .30 • 3i .0000073 .0001017 .0008717 .0051568 .0223247 .073274? .31 • 32 .0000106 .0001405, .0011530 ,0065319 .0271061 .0853996 .32 *33 .0000151 .0001920 .0015095- .0081965- .0326344 .0987895, .33 .34 .0000213 .0002598 .0019572 .0101946 .0389772 .1134732 .34 • 35 .0000297 .0003479 .0025146 .0125739 .0462011 .1294682 .35 • 36 .0000411 .0004616 .0032028 .0153856 .0543707 .1467798 .36 • 37 .0000564 .0006072 .0040459 .0186840 .0635477 .1654004 .37 .38 .0000765, .0007918 .0050712 .0225264 .0737896 .1853096 .38 • 39 .0001030 .0010245- .0063089 .0269726 .0851487 .2064732 .39 .4o .0001376 .0013153 .0077930 .0320843 .0976709 .2288440 .40 .41 .0001823 .0016766 .0095608 .0379249 .1113948 .2523614 .41 • 4< .0002398 .0021221 .0116532 .0445582 .1263506 .2769524 .42 .43 .0003133 .0026683 .0141149 .0520483 .1425591 .3025317 .43 .44 .0004065- .0033337 .0169939 .0604581 .1600308 .3290026 .44 .45 .0005240 .0041394 .0203418 .0698492 .1787653 .3562582 .45 .46 .0006714 .0051097 .0242138 .0802801 .1987505- .3841825- • 46 .47 .0008552 .0062717 .0286678 .0918057 .2199623 .4126515, .47 .48 .0010830 .0076559 .0337648 .1044764 .2423639 .4415349 .48 .49 .0013641 .0092962 .0395680 .1183363 .2659063 .4706973 .49 • 50 .0017090 .0112305- .0461426 .1334229 .2905273 .5000000 • 50 211 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-13 r= 6 n=13 r= 5 n*13 r= 4 11=13. r= 3 n=13 r= 2 n=13 r= 1 P .01 .0000000 .0000001 .0000067 .0002653 .0072489 .1224790 .01 .02 .0000001 .0000036 .0000990 .0019684 .0269513 .2309776 .02 .03 .0000010 .0000256 .0004658 .0061602 .0563744 .3269729 .03 .04 .0000055, .0001006 .0013682 .0135373 .0931896 .4117986 .04 .03 .0000197 .6002866 .0031030 .0245078 .1354239 .4866579 .05 .06 .0000554 .0006654 .0059750, .0392485, .1814171 .5526349 .06 .07 .0001312 .0013416 .0102755, .0577532 .2297828 .6107054 .07 .08 .6002743 .0024386 .0162665, .0798749 .2793739 .6617469 .08 .09 .0005215, .0040953 .0241699 .1053609 .3292510 .7065473 .09 .10 .0009200 .0064602 .0341607 .1338828 .3786550, .7458134 .10 .11 .0015273 .0096868 .6463632 .1650614 .4269823 .7801785, .11 .12 .0024111 .0139283 .0608501 .1984876 .4737624 .8102094 .12 .13 .0036486 .0193323 .0776436 .2337385- .5186389 .8364124 .13 .14 .0075356 .0341646 .1180027 .3080357 .5613519 .8592398 .14 .15 .0053253 .0260365, .0967178 .2703917 .6017231 .8790945, .15 .16 .0103714 .0438226 .1413889 .3462780 .6396419 .8963353 .16 .17 .0139393 .0550967 .1667327 .3847514 .6750544 .9112813 •17 .18 .0183393 .0680502 .1938618 .4231185, .7079526 .9242156 .18 .19 .0236721 .0827231 .2225805, .4610743 .7383661 .9353892 .19 .20 .0300353 .0991306 .2526757 .4983478 .7663538 .9450244 .20 .21 .0375207 .1172635, .2839219 .5347030 .7919979 .9533177 .21 .22 .0462124 .1370883 .3160863 .5699380 .8153979 .9604424 .22 .23 .0561849 .1585481 .3489336 .6038846 .8366660 .9665513 .23 .24 .0675016 .1815643 .3822301 .6364067 .8559229 .9717787 .24 .23 .0802126 .2060381 .4157473 i6673983 .8732946 .9762427 .25 .26 .0943539 .2318528 .4492655- .6967815- .8889093 .9800468 • 26 .27 .1099464 .2588757 .4825762 .7245040 .9028953 .9832815, •27 .28 .1269949 .2869612 .5154846 .7505372 .9153793 .9860259 .28 .29 .1454879 .3159529 .5478115, .7748730 .9264846 .9883491 .29 • 3o .1653975- .3456864 .5793944 .7975217 .9363301 .9903111 .30 • 3i .1866794 .3759921 .6100884 .8185097 .9450293 .9919640 .31 . 32 .2092735- .4066974 .6397673 .8378767 .9526901 •9933532 .32 . 33 .2331045, .4376297 .6683230 .8556739 .9594137 .9945176 • 33 .34 .2580832 .4686184 .6956661 .8719620 .9652951 .9954911 .34 .35 .2841072 .4994973 .7217251 .8868086 .9704224 .9963028 .35 .36 .3110626 .5301063 .7464458 .9002872 .9748770 .9969777 • 36 • 37 .3388253 .5602936 .7697907 .9124751 .9787340 .9975372 .37 .38 .3672632 .5899169 .7917376 .9234521 .9820620 .9979997 .38 .39 .3962371 .6188449 .8122790 .9332993 .9849233 .9983808 • 39 .40 .4256036 .6469582 .8314203 .9420976 .9873747 .9986939 .40 .41 .4552159 .6741502 .8491791 .9.499274 .9894672 .9989503 .41 .42 .4849264 .7003280 .8655832 .9568671 .9912467 .9991594 .42 .43 h I. .5145884 .7254122 .8806700 .962992$ .9927543 .9993295, .43 • 44 li r- .5440576 .7493373 .8944846 .9683778 .9940267 .9994673 .44 • 45 .5731940 .7720518 .9070787 .9730918 .9950962 .9995786 .45 • 4o .6018635, .7935175- .9185092 .9772009 .9959916 .9996680 .46 • 47 liQ .6299394 .8137095- .9288373 .9807673 .9967380 .9997396 .47 I, fs • 4o .6573034 .8326154 .9381272 .9838490 .9973577 .9997967 .48 • 49 .6838471 .8502345- .9464449 .9864998 .9978698 .9998421 .49 • 50 .7094727 .8665771 .9538574 .9887695, .9982910 .9998779 • 50 212 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p [ n=l4 r=l4 n~l4 r =13 n=l4 r-12 n=l4 r = ll n=l4 r=10 n=l4 r = 9 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005, .09 .10 .0000000 .0000000 .0000000 .00000.00 .0000001 .0000013 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000002 .0000028 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000004 .0000058 .12 • 13 .0000000 .0000000 .0000000 .0000000 .0000008 .0000114 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000017 .0000211 .14 .15 .0000000 .0000000 .0000000 .0000002 .0000032 .0000374 .15 • 16 .0000000 .0000000 .0000000 .0000004 .0000059 .0000634 .16 .17 .0000000 .0000000 .0000000 .0000008 .0000103 .0001038 •.17 • 18 .0000000 .0000000 .0000001 .0000014 .0000175, .0001647 .18 .19 .0000000 .0000000 .0000001 .0000024 .0000288 .0002541 .19 .20 .0000000 .0000000 .0000002 .0000041 .0000460 .0003819 .20 .21 .0000000 .0000000 .0000004 .0000067 .0000718 .0005611 .21 .22 .0000000 .0000000 .0000007 .0000108 .0001092 .0008071 .22 .23 .0000000 .0000001 .0000012 .0000171 .0001628 .0011389 .23 .24 .0000000 .0000001 .0000020 .0000263 .0002381 .0015791 .24 .25 .0000000 .0000002 .0000032 .0000398 .0003419 .0021542 .25 . 26 .0000000 .0000003 .0000050, .0000592 .0004829 .0028949 • 26 .27 .0000000 .0000004 .0000077 .0000864 .0006717 .0038365-, •27 .28 .0000000 .0000007 .0000116 .0001243 .0009211 .0050189 .28 .29 .0000000 .0000010 .0000173 .0001762 .0012464 .0064865- .29 .30 .0000000 .0000016 .0000253 .0002465- .0016657 .0082885, .30 • 3i .0000001 .0000024 .0000366 .0003404 .0022001 .0104789 .31 • 32 .0000001 .0000036 .0000521 .0004645, .0028742 .0131156 .32 . 33 .0000002 .0000053 .0000735- .0006268 .0037162 .0162610 .33 .34 .0000005 .0000078 .0001024 .0008369 .0047579 .0199807 .34 • 35 .0000004 .0000112 .0001411 .0011062 .0060353 .0243434 .35 • 36 .0000006 .0000159 .0001925, .0014485- .0075886 .0294202 .36 .37 .0000009 .0000224 .0002601 .0018795, .0094620 .0352836 .37 .38 .0000013 .0000312 .0003483 .0024180 .0117042 .0420064 .38 .39 .0000019 .0000431 .0004624. .0030854 .0143677 .0496612 .39 .4o .0000027 .0000591 .0006087 .0039064 .0175095, .0583189 .40 .4l .0000038 .0000802 .0007950- .0049091 .0211901 .0680476 .41 .42 .0000053 .0001081 .0010304 .0061252 .0254733 .0789110 .42 .43 .0000074 .0001445, .0013259 .0075903 .0304262 .0909679 « 43 .44 .0000102 .0001918 .0016945- .0093442 .0361181 .1042701 .44 .45 .0000140 .0002529 .0021510 .0114305, .0426201 .1188614 .45 .46 .0000190 .0003312 .0027130 .0138976 .0500043 .1347765- .46 • 47 .0000257 .0004309 .0034009 .0167979 .0583426 .1520393 .47 .48 .0000345- .0005572 .0042380 .0201881 .0677063 .1706624 .48 • 49 .0000460 .0007163 .0052508 .0241294 .0781644 .1906456 .49 • 50 .0000610 .0009155, .0064697 .0286865, .0897827 .2119751 .50 213 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n £ s-r s q n -s p n=l4 r= 8 n=l4 r = 7 n=l4 r= 6 n=14 r= 5 n-14 r- 4 n=14 r- 3 P .01 .0000000 .0000000 .0000000 .0000002 .0000092 .0003351 .01 .02 .0000000 .0000000 .0000002 .0000055, .0001364 .0024681 .02 .03 .0000000 .0000001 .0000018 .0000383 .OOO6367 .0076667 .03 .04 .0000000 .0000004 .0000093 .0001513 .0018550- .0167234 .04 .05 .0000001 .0000020 .0000331 .0004274 .0041732 .0300536 .05 .06 .0000004 .0000066 .0000.920 .0009840 .0079714 .0477786 .06 .07 .0000012 .0000182 .0002159 .0019669 .0135990 .0697953 • 07 .08 .0000032 .0000434 .0004474 .0035449 .0213552 .0958348 .08 .09 .0000078 .0000927 .0008432 .0059020 .0314771 .1255110 .09 .10 .0000172 .0001814 .0014741 .0092302 .0441329 .1583600 .10 .11 .0000348 .0003306 .0024249 .0137212 .0594200 .1938727 .11 .12 .0000658 .‘0005684 .0037932 .0195589 .0773666 .2315205, .12 .13 .0001176 .0009301 .0056875- .0269128 .0979359 .2707755, .13 .14 .0002004 .0014592 .0082248 .0359319 .1210321 .3111261 .14 .15 .0003276 .0022075- .OII5283 .0467403 .1465076 .3520888 .15 .16 .0005165, .0032351 .0157236 .0594332 .1741711 .3932162 .16 •17 .0007887 .0046102 .0209360 .0740748 .2037959 .4341029 .17 .18 .0011708 .0064086 .0272872 .0906963 .2351280 .4^43887 .18 .19 .0016945- .0087126 .0348918 .1092960 .2678943 .5137597 .19 .20 .0023972 .0116099 .'0438544 .1298396 .3018101 .5519490 .20 .21 .0033221 .0151927 .0542667 .1522618 .3365859 .5887349 .21 .22 .0.045182 .0195554 .0662051 .1764678 .3719336 .6239392 .22 •23 II .0060403 .0247936 .0797285- .2023367 .4075723 .6574244 .23 .24 .0079489 .0310016 .0948767 .2297241 .4432325- .6890906 .24 .25 .0103095, .0382708 .1116690 .2584654 .4786600 .7188724 .25 .26 .0131924 .0466877 .1301036 .2883801 .5136196 .7467347 .26 .27 .0166717 .0563318 .1501573 .3192748 .5478967 .7726697 .27 .28 .0208246 .0672741 ,1717855- .3509478 .5812994 .7966930 .28 .29 .0257302 .0795747 .1949228 .3831919 .6136594 .8188404 .29 .30 .0.314685, .0932819 .£194842 .4157988 .6448326 .8391642 .30 .31 .0381192 .1084301 .2453663 .4485619 .6746990 .8577308 .31 .32 .0457600 .1250393 .2724491 .4812797 .7031623 .8746170 .32 *'33 .0544656 .1431135- .3005978 .5137585- .7301488 .8899081 .33 .34 .0643058 .1626406. .3296652 .5458146 .7556067 .9036952 .34 . 35 .0753446 .1835919 .3594937 ,5772770 .7795043 .9160734 .35 .36 .0876380 .2059216 .3899183 .•6079885, .8018287 .9271396 .36 .37 .1012332 .2295676 .4207686 .6378075, .8225839 .9369909 .37 .38 .II61672 .2544519 .4518716 .6666088 .8417891 .9457239 .38 .39 .1324652 .2804811 ,4830542 .6942842 .8594769 .9534326 .39 .4o .1501401 .3075478 .5141454 .7207430 .8756912 .9602084 .40 .41 .1691911 .5355318 .5449790 .7459120 .8904859 .9661387 .41 .42 .1896034 .3643015, .5753951 .7697352 .9039224 .9713065- .42 .43 .2113473 .3937161 .6052426 .7921731 .9160688 ..9757903 .43 .44 .2343784 .4236268 .6343807 .8132021 .9269976 .9796633 .44 .45 .2586371 .4538793 ,6626800 .8328139 .9367846 .9829938 .45 .46 .2840492 .4843158 .690024.3 ..8510137 .9455074 .9858446 .46 .47 .3105262 .5147768 .7163113 .8678196 .9532444 .9882776 .47 .48 .3379660 .5451038 .7414532 .8832610 .9600736 .9903331 .48 .49 .3662539 .5751407 .7653769 .8973776 .9660718 .9920711 .49 • 50 .3952637 .6047383 .7880249 .9102173 .9713135- .9935303 .50 214 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ’ 8 p | n=14 r- 2 n=l4 r- 1 n=15 r=15 n-15 r=14 n=15 r=13 n=15 r=12 p .01 .0084012 .1312542 .0000000 .0000000 .0000000 .0000000 .01 .02 .0310518 .2463581 .0000000 .0000000 .0000000 .0000000 .02 .03 .0644923 .3471637 .0000000 .0000000 .0000000 .0000000 .03 .04 .1059339 .4353267 .0000000 .0000000 .0000000 .0000000 .04 .05 .1529856 .5123250, .0000000 .0000000 .0000000 .0000000 • 05 .06 .2036901 .5794768 .0000000 .0000000 .0000000 .0000000 .06 .07 .2564474 .6379561 .0000000 .0000000 .0000000 .0000000 .07 .08 .3099637 .6888072 .0000000 .0000000 .0000000 .0000000 .08 • 09 .3632077 .7329580 .0000000 .0000000 .0000000 .0000000 .09 .10 .4153709 .7712321 .0000000 .0000000 .0000000 .0000000 .10 .11 .4658339 .8043589 .00000^0 .0000000 .0000000 .0000000 .11 .12 .5141360 .8329843 .0000000 .0000000 .0000000 .0000000 .12 .13 .5599495- .8576788 .0000000 .0000000 .0000000 .0000000 .13 .14 .6030562 .8789462 .0000000 .0000000 .0000000 .0000000 .14 .15 .6433288 .8972303 .0000000 .0000000 .0000000 .0000000 .15 .16 .6807129 .9129217 .0000000 .0000000 .0000000 .0000001 .16 .17 .7152130 .9263635- .0000000 .0000000 .0000000 .0000002 .17 .18 .7468800 .9378568 .0000000 .0000000 .0000000 .0000003 .18 .19 .7758005- .9476652 .0000000 .0000000 .0000000 .0000006 -19 .20 .8020879 .9560195, .0000000 .0000000 .0000001 .0000010 .20 .21 .8258750, .9631210 .0000000 .0000000 .0000001 .0000018 .21 .22 .8473077 .9691451 .0000000 .0000000 .0000002 .0000030 .22 .23 .8665396 .9742445- .0000000 .0000000 .0000003 .0000049 .23 .24 .8837283 .9785518 .0000000 .0000000 .0000006 .0000079 .24 .25 .8990316 .9821821 .0000000 .0000000 .0000009 .0000124 .25 .26 .9126050, .9852346 .0000000 .0000001 .0000015- .0000191 • 26 .27 .9245996 .9877955- .0000000 .0000001 .0000024 .0000290 .27 .28 .9351604 .9899387 .0000000 .0000002 .0000037 .0000432 .28 .29 .9444253 .9917279 .0000000 .0000003 .0000058 .0000634 .29 .30 .9525244 .9932178 .0000000 .0000005, .0000087 .0000917 .30 • 31 .9595791 .9944552 .0000000 .0000008 .0000130 .0001307 .31 .32 .9657023 .9954801 .0000000 .0000012 .0000192 .0001841 .32 .33 .9709980 .9963268 .0000001 .0000019 .0000278 .0002561 .33 .34 .9755617 .9970241 .0000001 .0000028 .0000399 .0003521 .34 .35 .9794805, .9975968 .0000001 .0000042 .0000566 .0004789 .35 • 36 .9828333 .9980657 .0000002 .0000061 .0000795- .0006447 .36 .37 .9856912 .9984484 .0000003 .0000088 .0001104 .0008593 .37 .38 .9881183 .9987598 .0000005- .0000127 .0001517 .0011348 .38 .39 .9901717 .9990123 .0000007 .0000180 .0002066 .0014854 .39 .40 .9919024 .9992164 .0000011 .0000252 .0002789 .0019278 .40 .41 .9933552 .9993807 .0000016 .0000351 .0003733 .0024818 .41 .42 .9945700 .9995125- .0000022 .0000485- .0004954 .0031702 .42 • 1*3 .9955817 .9996178 .0000032 .0000663 .0006525* .0040196 .43 .44 .9964206 .9997017 .0000045- .0000901 .0008530 .0050603 .44 .45 .9971133 .9997682 .0000063 .0001215- .0011070 .0063268 .45 .46 .9976897 .9998207 .0000087 '.0001626 .0014268 .0078579 .46 .47 .9981488 .9998620 .0000121 .0002161 .0018268 .0096975, .47 .48 .9985284 .9998943 .0000165, .0002854 .0023240 .0118941 .48 .49 .9988362 .9999195- .0000225, .0003744 .0029382 .0145013 .49 • 50 .9990845- .9999390 .0000305, .0004883 .0036926 .0175781 .50 832939 0 - 50 - 15 215 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-a p n=15 r=ll n-15 r*10 n=15 r- 9 n=15 T ’- 8 n-15 r = 7 n=15 r= 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .02 .03 .0000000 .0000000 .0000000 .0000000 .ooooool .0000029 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000008 .0000150- .04 .03 .0000000 •OOOOOOO .0000000 .0000002 .0000035, .0000528 .03 .06 .0000000 .0000000 .0000000 .0000007 .0000117 .0001455, .06 .07 .0000000 .0000000 .0000001 .0000024 .0000320 .0003385- • 07 .08 .0000000 .0000000 .0000004 .0000065- .0000757 .0006952 .08 .09 .0000000 .ooooool .0000012 .0000155- .0001602 .0012985- .09 .10 .0000000 .0000002 .0000028 .0000336 .0003106 .0022497 .10 .11 .0000000 .0000005- .0000063 .0000673 .0005610 .0036675- .11 .12 .0000001 .0000010 .0000130 .•0001261 .0009554 .0056851 .12 .13 .0000001 .0000022 .0000252 .0002233 .0015485, ,0084468 .13 .14 .0000003 .0000044 .0000462 .0003767 .0024064 .0121038 .14 • 15 .0000007 .0000083 .0000809 .0006096 .0036056 .0168101 .15 • 16 .0000013 .0000151 .0001359 .0009515- .0052332 .0227171 .16 .17 .0000024 .0000262 .0002203 .0014384 .0073856 .0299696 .17 .18 .0000043 .0000440 .0003458 .0021136 .0101668 .0387009 .18 .19 .0000074 .0000.716 ,0005277 .0030279 .0136866 .0490286 .19 .20 .0000125- .0001132 ,0007850- .0042397 .0180588 .0610514 .20 .21 .0000204 .0001745, .0011409 .0058149 .0233982 .0748456 .21 .22 .0000325- .0002628 .0016235, .0078264 .0298183 .0904629 .22 .23 .0000506 .0003873 .0022662 .0103538 .0374286 .1079284 .23 .24 .0000771 .0005599 .0031078 .0134815, .0463316 .1272400 .24 .25 .0001153 .0007949 .0041930 .0172998 .0566203 .1483681 .25 .26 .0001693 .0011100 .0055723 .0219012 .0683758 .1712555- • 26 .27 .0002444 .0015262 .0073020 .0273800 .0816647 .1958190 • 2 Z • 28 .0003474 .0020685- .0094445- .0338305- .0965373 .2219509 .28 • 29 .0004866 .0027660 .0120671 .0413451 .1130257 .2495208 .29 .30 .0006722 .0036525, .0152425, .0500125, ,1311426 .2783786 .30 . 31 .0009169 .0047665, .0190474 .0599156 ,1508803 .3083569 .31 . 32 .0012356 .0061515- .0235618 .0711294 .1722104 .3392749 .32 . 33 .0016463 .0078560 .0288685, .0837194 .1950833 .3709408 .33 .34 .0021700 .0099337 .0350512 .0977397 ,2194290 .4031560 .34 .35 .0028314 .0124432 .0421938 .1132311 .2451575, .4357179 • 35 • 36 .0036589 .0154480 .0503786 .1302201 ,2721604 .4684236 •36 • 37 .0046850, .0190160 .0596849 .1487170 .3003120 .5010730 • 37 .38 .0059467 .0232190 .0701875- .1687154 .3294714 .5334717 .38 • 39 .0074855, .0281322 .0819548 .1901914 .3594846 .5654339 • 39 • 40 .0093477 .0338333 .0950474 .2131032 .3901868 .5967844 .4o .41 .0115843 .0404016 .1095164 .2373908 .4214051 .6273615, .41 • 42 .0142514 .0479172 .1254018 .2629766 .4529608 .6570179 .42 • 43 h ii .0174098 .0564592 .1427310 .2897659 .4846725- .6856227 .43 • 44 .0211247 .0661050- .1615177 .3176477 .5163585- .7130621 .44 • 45 .0254659 .0769287 .1817605- .3464961 .5478396 .7392402 .45 • 4o .0305067 .0889995- .2034419 .3761718 .5789417 .7640794 • 46 .47 h Q .0363239 .1023801 . 2265281 .4065240 .6094981 .7875202 .47 • 4o .0429969 .1171252 .2509681 .4373921 .6393515- .8095209 .48 • 49 C r\ .0506066 .1332802 .2766936 .4686084 .6683564 .8300572 .49 • 50 .0592346 .1508789 .3036194 .5000000 .6963806 .8491211 .50 216 BINOMIAL DISTRIBUTION Table E - Partial Sums n 2 ST s q n-s p I n«*15 r= 5 n»15 r* 4 n=15 r» 3 n=l5 r= 2 n=15 r= 1 n-16 r =16 p .01 .0000003 .0000125- .0004158 .0096298 .1399416 .0000000 .01 .02 .0000081 .0001830 .0030394 .0353383 .2614309 .0000000 .02 .03 .OOOO567 .0008476 .0093714 .0729725- .3667488 .0000000 .03 .04 .0002194 .0024497 .0202918 .1191096 .4579136 .0000000 .04 .05 .0006147 .0054673 .0362002 .1709525, .5367088 .0000000 .05 .06 .0014033 .0103599 .0571333 .2262373 .6047082 .0000000 .06 .07 .0027812 .0175327 .0828610 .2831530 .6632991 .0000000 .07 .08 .0049697 .0273136 .1129651 .3402712 .7137026 .0000000 .08 • 09 .0082037 .0399402 .1469037 .3964852 .7569918 .0000000 .09 .10 .0127205- .0555556 .1840611 .4509570 .7941089 .0000000 .10 .11 .0187481 .0742098 .2237884 .5030716 .8258794 .0000000 -11 .12 .0264-959 .0958651 .2654344 .5523978 .8530261 .0000000 .12 .13 .0361458 .1204051 .3083681 .5986543 .8761806 .0000000 .13 .14 .0478459 .1476453 .3519964 •64l68o8 .8958938 .0000000 .14 .15 .0617054 .1773448 .3957748 .6814140 .9126458 .0000000 .15 .16 .0777913 .•2092183 .4392157 .7178663 .9268542 .0000000 .16 .17 .0961274 .2429481 .4818916 .7511085, .9388817 .0000000 .17 .18 .1166940 .-2781949 .5234371 .7812558 .9490425, .0000000 .18 .19 .1394297 .3146088 .5635475- .8084548 .9576088 .0000000 .19 .20 .1642337 .3518579 .6019768 .8328742 .9648156 .0000000 .20 • 2i .1909698 .3895372 .6385343 .8546967 .9708656 .0000000 .21 .22 .2194703 .4273749 .6730802 .87'4lll9 .9759332 .0000000 .22 .23 .2495409 ;4650383 .7055209 .8913117 .9801683 .0000000 .23 .24 j .2809661 .5022384 .7358037 .9064860 .9836994 .0000000 .24 .25 .3135141 .5387131 .7639122 .9198192 .9866365, .0000000 .25 .26 .3469423 .5742295, .7898610 .9314887 .9890736 .0000000 .26 .27 .3810027 .6085854 .8136908 .9416625- .9910907 .0000000 .27 .28 .4154462 .6416096 .8354639 .9504983 .9927558 .0000000 .28 .29 .4500275- .6731619 .8552600 .9581431 .9941268 .0000000 .29 .30 .4845089 .7031321 .8731723 .9647324 .9952524 .0000000 .30 .31 .5186644 .7314388 .8893037 .9703907 .9961741 .0000000 .31 .32 .5522821 .7580278 .9037642 .9752312 .9969265- .0000000 .32 • 33 .5851673 .7828694 .9166677 .9793565- .9975389 .0000000 .33 .34 .6171439 .8059568 .9281298 .9828589 .9980359 .0000000 .34 .35 .6480566 .8273035, .9382659 .9858212 .9984379 .0000001 .35 •36 .6777710 .8469406 .9471893 .9883169 .9987621 .0000001 .36 .37 .7061748 .8649145, .9550100 .9904114 .9990225, .0000001 .37 .38 .7331773 .8812843 .9618338 .9921621 .9992311 .0000002 .38 .39 .7587095 .8961196 .9677609 .9936196 .9993975, .0000003 .39 .40 .7827223 .9094981 .9728860 .9948280 .9995298 .0000004 .40 .41 .8051873 .9215035, .9772975- .9958257 .9996346 .0000006 .41 .42 .8260938 .9322237 .9810772 .9966459 .9997172 .0000009 .42 .43 .8454483 .9417491 .9843006 .9973172 .9997822 .0000014 .43 .44 .8632722 .9501705, .9870365, .9978643 .9998330 .0000020 .44 .45 .8796007 .9575787 .9893476 .9983080 .9998725, .0000028 .45 .46 .8944808 .9640625, .9912902 .9986662 .9999032 .0000040 .46 .47 .9079692 .9697081 .9929149 .9989540 .9999269 .0000057 .47 .48 .9201311 .9745982 .9942669 .9991840 .9999450, .0000079 .48 .49 .9310377 .9788114 .9953860 .9993670 .9999589 .0000110 .49 • 50 .9407654 .9824219 .9963074 .9995117 .9999695- .0000153 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r a q n-s p n=l6 r=15 n=l6 r=l4 n-16 r-13 n=l6 r=12 n=l6 r-11 n=l6 r=10 p .01 *0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 *0000000 .0000000 .0000000 .0000000 .02 • 03 .0000000 *0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005- .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000002 .0000025- .12 .13 .0000000 .0000000 .0000000 ,0000000 .0000004 .0000052 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000009 .0000103 .14 .15 .0000000 .0000000 .0000000 .0000001 .0000018 .0000192 .15 .16 .0000000 .0000000 .0000000 .0000003 .0000035- .0000344 .16 .17 .0000000 .0000000 .0000000 .0000005, .0000064 .0000592 .17 .18 .0000000 .0000000 .0000001 .0000010 .0000114 .0000983 .18 .19 .0000000 .0000000 .0000001 .0000019 .0000196 .0001583 .19 .20 .0000000 .0000000 .0000002 .0000033 .0000326 .0002476 .20 .21 .0000000 .0000000 .0000005- .0000057 .0000527 .0003774 .21 .22 .0000000 .0000000 .0000008 .0000095- .0000831 .0005621 .22 .23 .0000000 .0000001 .0000014 .0000154 .0001280 .0008195- .23 .24 .0000000 .0000002 .0000023 .0000245- .0001930 .0011714 .24 .25 .0000000 .0000003 .0000038 .0000381 .0002852 .0016445- .25 .26 .0000000 .0000004 .0000061 .0000582 .0004139 .0022702 .26 .27 .0000000 .0000007 .0000096 .0000871 .0005905, .0030857 .27 .28 .0000001 .0000012 .0000148 .0001284 .0008293 .0041338 .28 .29 .0000001 .0000019 .0000225- .0001861 .0011476 .0054633 .29 .30 .0000002 .0000030 .0000336 .0002658 .0015663 .0071295, .30 .31 .0000003 .0000046 .0000495, .0003745- .0021103 .0091936 .31 • 32 .0000004 .0000070.. .0000719 .0005206 .0028087 .0117228 .32 • 33 .0000007 .0000104 .0001031 .0007148 .0036955- .0147901 .33 •34 .0000010 .0000154 .0001461 .0009702 .0048097 ..0184736 .34 .35 .0000016 .0000225, .0002044 .0013023 .0061955, w0228559 .3,5 .36 .0000025 .0000325, .0002829 .0017298 .0079030 .0280230 .36 .37 .0000035- .0000464 .0003875- .0022748 .0099875- .0340635, .37 .38 .0000051 .0000655, .0005253 .0029633 .0125102 .0410670 .38 .39 .0000075- .0000915, .0007053 .0038254 .0155377 .049i230 .3.9 .40 .0000107 .0001267 .0009385- .0048957 .0191419 .0583189 .40 .41 .0000153 .0001738 .0012377 .0062138 .0233994 .0687387 .41 . 42 .0000217 .0002362 .0016189 .0078243 .0283910 .0804607 .43 .0000303 .0003184 .0021004 .0097774 ,0342010 .0935561 .43 .44 .0000422 .0004258 .0027042 .0121287 .0409160 .1080866 .44 .45 .0000581 .0005650- ..0034559 ..0149394 .0486241 .1241030 .45 . 46 .0000795* .0007441 .0043851 .0182764 .0574134 .1416430 .46 .47 .0001080 .0009731 .0055260 .0222119 .0673703 .1607297 .47 .48 .0001456 .0012639 .0069176 .0268234 .0785785- ,1813698 .48 .49 .0001950- .0016307 .0086041 .0321929 .0911166 .2035528 .49 .50 .0002594 .0020905- .0106354 .0384064 .1050568 .2272491 .50 218 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p n =l6 r- 9 n=l6 r= 8 n-16 r= 7 n=l6 r a 6 n=l6 r= 5 n=l6 r= 4 P .01 .0000000 .0000000 .0000000 .0000000 .0000004 .0000165, .01 .02 .0000000 .0000000 .0000000 .0000004 .0000116 .0002401' .02 .03 .0000000 .0000000 .0000002 .0000045, .0000804 .0011033 .03 .04 .0000000 .0000001 .0000014 .0000232 .0003086 .0031634 .04 .05 .0000000 .0000003 .0000060 .0000809 .0008573 .0070039 .05 .06 .0000001 .0000014 .0000197 .0002210 .0019407 .0131663 .06 .07 .0000005 .0000044 .0000535- .0005094 .OO38I38 .0221057 .07 .08 .0000009 .0000120 .0001253 .0010372 .0067572 .0341657 .08 .09 .0000025- .0000285, .0002627 .0019199 .0110600 .0495669 .09 .10 .0000059 .0000613 .0005045, .0032968 .0170040 .0684062 .10 .11 .0000130 .0001216 .0009027 .0053263 .0248489 .0906635- .11 .12 .0000266 .0002256 .0015229 .0081824 .0348202 .1162134 .12 .13 .0000510 .0003955, .0024453 .0120476 .0470995- .1448403 .13 .14 .0000925- .0006608 .0037640 .0171977 .0618178 .1762544 .14 .15 .0001602 .0010590 .0055863 .0235444 .0790513 .2101093 .15 • 16 .0002664 .0016366 .0080307 .0315290 .0988196 .2460179 .16 .17 .0004274 .0024494 .0112249 .0412164 .1210869 .2835685- .17 .18 .0006640 .0035632 .0153029 .0527396 .1457642 .3223385, .’18 .19 .0010028 .0050531 .0204016 .0662048 .1727137 .3619071 • 19 .20 .0014759 .0070036 .0266573 .0816879 .2017546 .4018657 .20 .21 .0021224 .0095074 .0342022 .0992317 .2326690 .4418266 .21 .22 .0029881 .0126646 .0431601 .1188445 .2652093 .4814300 .22 .23 .0041263 .OI65808 .0536436 .1404993 .2991053 .5203493 .23 .24 .0055975, .0213655, .0657496 .1641343 .3340714 . 5582941 .24 .25 .0074697 .0271300 .0795573 ,1896546 .3698138 .5950129 .25 .26 .OO98I78 .0339846 .0951245, .2169341 .4060370 .6302937 • 26 .27 .0127231 .0420368 .1124864 .2458186 .4424501 .6639638 .27 .28 .0162726 .0513884 .1316531 .2761296 .4787720 .6958888 .28 .29 .0205578 .0621325- .1526093 .3076677 .5147364 .7259703 .29 .30 .0256735, .0743516 .1753134 .3402177 .5500959 .7541441 .30 .31 .0317165, .0881147 .1996981 .3735523 .5846245- .7803770 .31 .32 .0387834 .1034753 .2256711 .4074372 .6181207 .8046634 .32 • 33 .0469693 .1204695- .2531163 .4416356 .6504090 .8270228 .33 .34 .0563653 .1391140 .2818962 .4759119 .6813403 .8474956 .34 .35 .0670569 .1594054 .3118537 .5100364 .7107930 .8661404 .35 .36 .0791215, .1813186 .3428152 .5437887 .7386721 .8830301 .36 .37 .0926268 .2048071 .3745936 .5769607 .764.9085- .8982498 .37 .38 .1076281 ;2298027 .4069915, .6093599 .7894580 .9118931 .38 .39 .1241671 .2562158 .4398048 .6408113 .8122993 .9240597 .39 .40 .1422697 .2839366. .4728259 .6711596 .8334326 .9348533 .40 .41 .1619449 .3128367 .5058472 .70X52701 .8528770 .9443790 .41 .42 .I831832 .3427700 .5386648 .7280298 .8706684 .9527422 .42 •w .'2059560 .3735757 .5710811 .7543477 .8868576 .9600462 .43 .44 .2302149 .4050804 .6029081 .7791545, .9015074 .9663916 .44 • 45 .2558915- .4371007 .6339699 .8024024 .9146908 .9718747 .45 .46 .2828 77 .4694460 .6641051 .8240640 .9264884 .9765872 .46 .47 .3111262 .5019218 .6931685- .8441313 .9369865, .9806153 .47 .48 .3404517 .5343326 .7210328 .8626138 .9462753 .9840392 .48 .49 .3707319 .5664849 .7475898 .8795377 .9544468 .9869330 .49 .50 .4018097 .5981903 .7727509 .8949432 .9615936 .9893646 • 50 219 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r » q n-s p n-l6 r- 3 — ■ ■ n=l6 r= 2 n=l6 r= 1 n =17 r =17 n=l7 r=l6 n =17 r=l 5 p .01 .0005079 .0109329 .1485422 .0000000 .0000000 .0000000 .01 .02 .0036854 .0398602 .2762023 .0000000 .0000000 .0000000 .02 .03 . 0112795 - .0817858 .3857463 .0000000 .-0000000 .0000000 .03 .04 . 0242445 , .1326618 .4795971 .0000000 .0000000 .0000000 .04 .05 .0429379 .1892403 .5598733 .0000000 .0000000 .0000000 .05 .06 .0672796 .2489456 .6284257 .0000000 .*0000000 .0000000 .06 .07 .0968814 .3097632 .6868682 .0000000 .0000000 .0000000 .07 .08 .1311496 .3701457 .7366064 .0000000 .0000000 .0000000 .08 .09 .1693660 .4289308 .7788626 .0000000 .0000000 .0000000 .09 .10 .2107507 .4852722 .8146980 .ocooooo .0000000 .0000000 .10 .11 .2545096 . 5385805 - .8450327 .0000000 .0000000 .0000000 .11 .12 .2998700 .5884732 .8706630 .0000000 .-0000000 .•0000000 .12 .13 .3461053 .6347327 .8922771 .0000000 .•0000000 .0000000 .13 .14 .3925522 .6772707 .9104686 .0000000 .•0000000 .0000000 .14 .13 »4386207 .7160988 .9257489 .0000000 .•0000000 .0000000 .15 .16 .4837998 .7513043 .9385575, .0000000 .0000000 .0000000 .16 .17 .5276585, .7830300 .9492718 .0000000 .0000000 .0000000 .17 .18 . 5698445 - .8114574 .9582149 .0000000 .0000000 .0000000 .18 .19 .6100798 .8367940 .9656632 .0000000 .0000000 .0000000 • 19 .20 .6481563 .8592625, . 9718525 , .0000000 .0000000 .0000000 .20 .21 .6839284 .8790922 .9769838 .0000000 .0000000 .0000000 .21 .22 .7173072 .8965126 .9812279 .0000000 .0000000 .0000000 .22 .23 .7482528 .9117487 .9847296 .0000000 .0000000 .0000000 .23 .24 .7767674 .9250172 .9876115, .0000000 .0000000 .0000000 .24 .25 .8028889 .9365236 .9899774 .0000000 .0000000 .0000001 .25 .25 .8266842 .9464608 . 9919145 - .0000000 .0000000 .0000001 • 26 .27 .8482431 .9550081 .9934962 .0000000 .0000000 .0000002 .27 .28 . 8676735 , .9623304 .9947842 .0000000 .0000000 .0000004 .28 .29 .8850961 .9685783 .9958300 .0000000 .0000000 .0000006 .29 .30 .9006403 .9738884 .9966767 .0000000 .0000001 .0000010 .30 .31 .9144407 . 9783835 , .9973601 .0000000 .0000001 .00000.16 .31 • 32 .9266337 .9821737 .9979100 .0000000 .0000001 .0000025, .32 • 33 . 9373550 , .9853567 .9983511 .0000000 .0000002 .0000039 .33 • 34 .9467377 .9880191 .9987037 .0000000 .0000004 .0000059 .34 • 35 .9549103 .9902371 .9989847 .0000000 .0000006 .0000089 .35 .36 .9619952 .9920772 .9992077 .0000000 .0000009 .0000132 .36 -37 .9681085, . 9935975 , .9993842 .0000000 .0000014 .0000194 .37 • 38 . 9733585 , .9948483 .9995233 .0000001 .0000021 .0000281 .38 • 39 .9778458 .9958730 . 9996325 - .0000001 .0000031 .0000403 .39 .40 .9816628 .9967087 .9997179 .0000002 .0000046 .0006571 .40 .41 .9848940 .9973873 .9997844 .0000003 .0000067 .0000803 .41 .42 .9876160 .9979358 .9998360 .0000004 .0000096 .0001118 .42 .43 .9898977 .9983771 .9998758 .0000006 .0000138 .0001542 .43 .44 .9918007 . 9987305 - . 9999065 - .0000009 .0000197 .0002110 .44 .*5 .9933798 .9990120 .9999299 .0000013 .0000277 .0002862 .45 . 46 .9946831 .9992352 .9999477 .0000018 .0000387 .0003852 .46 .47 .9957533 .9994112 .9999612 .0000027 .0000537 .0005146 .47 .48 .9966271 .9995493 .9999714 .0000038 .0000740 . 0(206824 .48 .49 .9973367 .9996570 .9999791 .0000054 .0001012 .0008985- .49 .50 . 9979095 , .9997406 .9999847 .0000076 .0001373 .0011749 .50 .a 220 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n -s p 1 n =17 r =14 n =17 r=13 n=17 r=12 n=17 r=ll n =17 r =10 n-17 r= 9 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .OOOQOOO .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .06 .07 .0000000 .0000000' .0000000 .0000000 .0000000 .0000006 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000018 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000004 .0000048 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000010 .0000115- .10 .11 .0000000 .0000000 .0000000 .0000002 .0000024 .0000250- .11 .12 .0000000 .0000000 .0000000 .0000005- .0000054 .0000505- .12 .13 .0000000 .0000000 .0000001 .0000010 .0000112 .0000958 .13 .14 .0000000 .0000000 .0000002 .0000022 .0000218 .0001721 .14 .15 .0000000 .0000000 .0000004 .0000044 .0000404 .0002950, .15 .16 .0000000 .-0000001 .0000008 .0000084 .0000715, .0004856 .16 .17 .0000000 .0000001 .0000015, .0000154 .0001218 .0007711 • 17 .18 .0000000 .0000002 .0000029 .0000271 .0002002 .0011859 .18 .19 .0000000 .0000005- .0000052 .0000460 .0003187 .0017723 .19 .20 .0000001 .0000009 .0000092 .0000756 .0004932 .0025815- .20 .21 .0000001 .0000015, .0000156 .0001209 .0007439 .0036733 .21 .22 .0000002 .0000027 .0000257 .0001885, .0010959 .0051170 .22 i .0000004 .0000046 .0000413 .0002871 .0015800 .0069908 .23 .24 .0000007 .0000076 .0000649 .0004278 .0022337 .0093819 .24 .25 .0000011 .0000124 .0000999 .0006250, .0031008 .0123848 .25 .26 .0000019 .0000196 .0001507 .0008965, .0042326 .0161012 • 26 .27 .0000031 .0000305, .0002231 .0012642 .0056878 .0206378 • 2 Z .28 .0000050- .0000466 .0003246 .0017546 ,0075326 .0261050- .28 .29 .0000079 .0000699 .0004649 .0023992 .0098407 .0326144 .29 .30 .0000122 .0001033 .0006560 .0032353 .0126927 .0402769 .30 • 3 l .0000185, .0001502 .0009126 .0043061 .0161757 .0491999 .31 • 32 .0000278 .0002155, .0012528 .0056612 .0203822 .0594848 .32 . 33 .0000410 .0003050, .0016985- .0073567 .0254092 .0712244 • 33 .34 .0000599 .0004263 .0022756 .0094554 .0313568 .0844999 .34 • 35 .0000862 .0005887 .0030149 .0120267 .0383263 .0993789 • 35 • 36 .0001227 .0000838 .0039521 .0151462 . 0464185 - .1159125- .36 • 37 .0001726 .0010858 .0051285, .0188956 .0557319 .1341335, .37 .38 .0002402 ..0014517 .0065911 .0233618 .0663602 .1540544 .38 .39 .0003309 .0019222 .0083932 .0286360 .0783902 .1756661 • 39 .40 .0004514 .0025214 .0105942 .0348127 .0918993 .1989365- .40 . 4 l .0006100 ..0032779 .0132599 .0419885, .1069532 .2238105, .41 .42 .0008169 .0042252 .0164623 .0502603 .1236042 .2502097 .42 .43 .0010847 .0054015- .0202796 .0597237 .1418880 .2780325- • ^3 .44 .0014283 .0068510 .0247951 .0704711 .1618231 .3071557 .44 .45 It /■ .0018659 .008623.5- .0300975 .0825896 .1834078 .3374356 .45 1. s .46 .0024190 .0107751 .0362794 .0961590 .2066202 .3687099 .46 .47 i. n .0031130 .0133684 .0434364 .1112492 .2314160 .4008001 .47 )l 0 .48 .0039777 .0164724 .0516659 .1279183 .2577291 .4335145, • 48 .49 .0050477 .0201626 .0610655, .1462103 .2854705, .4666509 .49 • 50 .0063629 .0245209 .0717316 .1661530 .3145294 .5000000 .50 221 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=17 r; 8 n*17 r= 7 n=17 r= 6 n=17 r= 5 n-17 r- 4 n-17 r- 3 P .01 .0000000 .0000000 .0000000 .0000006 .0000214 .0006122 .01 .02 .0000000 .0000000 .0000007 .0000162 .0003090 .0044088 .02 .03 .0000000 .0000003 .0000068 .0001111 .0014086 .0133946 .03 .04 .0000001 .0000022 .0000346 .0004228 .0040066 .0285812 .04 .05 .0000006 .0000097 .0001197 .0011646 .0088006 .0502530 .05 .06 .0000025- .0000318 .0003242 .0026142 .0164131 .0781795, .06 .07 .0000079 .0000854 .0007408 .0050942 .0273400 .1117831 .07 .08 .0000211 .OOOI982 .0014948 .0089499 .0419244 .1502693 .08 .09 .0000496 .0004118 .0027425, .0145256 .0603488 .1927268 • 09 .10 .0001056 .OOO7838 .0046675- .0221442 .0826406 .2382028 .10 .11 .0002076 .0013893 .0074738 .0320885- .1086865, .2857574 .11 .12 .0005813 .0023221 .OII3789 .0445874 .1382522 .33*15024 .12 .13 .0006620 .0036936 .0166044 .0598058 .1710047 .3836269 .13 .14 .0010953 .0056321 .0233671 .0778390 .2065361 .4324128 .14 .15 .0017381 .0082800 .0318704 .0987100 .2443860 .480242*1 .15 .16 .0026596 .0117904 .0422955- .1223714 .2840630 .5266005- .16 .17 .0039412 .OI63235- .0547944 .1487088 .3250638 .5710717 -.17 .18 .0056763 .0220415, .0694840 .1775475. .3668896 .6133348 .18 .19 .0079693 .0291042 .0864415- .2086604 .4090599 .6531555-, .19 .20 .0109343 .0376634 .1057012 .2417768 .4511238 .6903775, .20 .21 .0146933 .0478584 .1272535, .2765921 .4926680 .7249128 .21 .22 .0193736 .0598107 .1510448 .3127779 .5333230 .7567324 .22 .23 .0251053 .0736204 .1769786 .3499914 ,5727671 .7858568 .23 .24 .0320177 .08936,19 .2049192 .3878849 ,6107277 .8123474 .24 .25 .0402368 .1070816 .2346944 .4261136 .64698i9 .8362976 .25 .26 .0498810 .I26795O, .2661008 .4643438 .6813552 .8578261 .26 .27 .0610582 .1484861 .2989091 .5022588 .7137193 .8770697 •27 .28 .0738625- .1721065, .3328695- .5395647 .7439885, .8941775- .28 .29 .0883707 .1975762 .3677177 .575994;? .7721168 .9093060 .29 .30 .1046401 .2247847 .4031811 .6113104 .7980930 .9226147 .30 .31 .1227055, .2535929 .4389847 .6453078 .8219367 .9342630 .31 .32 .1425779 .2838362 .4748560 .6778144 .8436939 .9444065- .32 .33 .1642429 .3153277 .5105308 .7086915, .8634325- .9531956 .33 .34 .1876600 .3478615, .5457576 .7578331 .8812380 .9607734 .34 • 35 .2127623 .3812176 .5803012 .7651646 .8972098 .9672746 .35 • 36 .2394574 .4151656 .6139467 .7906410 *9114576 .9728247 .36 .37 .2676281 .4494694 .6465014 .8142448 .9240976 -9775394 .37 .38 .2971344 .4838915- .6777971 .8359833 .9352500- .9815246 .38 .39 .3278155- .5181973 .7076916 .8558859 .9450363 .9848764 .39 .40 .3594923 .5521594 .7360688 .8740009 .9535771 .9876812 .40 .41 .3919710 .5855606 .7628389 .8903928 .9609902 .9900163 .41 .42 .4250458 .6181981 .7879380 .9051394 .9673892 .9919504 .42 ti i. .4585030 .6498857 .8113270 .9183287 *9728824 .9935439 .43 • 44 1* r .4921246 .6804565, .8329898 .9300564 .9775716 .9948498 .44 • 45 j. r .5256918 .7097645, .8529322 .9404236 .9815520 .9959143 .45 • 4o .5589891 .7376862 .8711792 .9495339 .9849114 .9967771 .46 • 47 li O .5918077 .7641210 .8877732 .9574920 .9877302 .9974725, .47 • 4o .6239487 .7889917 .9027713 .964*1020 .9900814 .9980298 .48 .49 .6552263 .8122443 .9162432 .9703650, .9920308 .9984737 .49 • 50 .6854706 .8338470 .9282684 .9754791 .9936371 .9988251 • 50 222 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-17 r= 2 n-17 r* 1 n=l8 r=l8 n-18 r*l7 n=l8 r =16 n=l8 r=15 p .01 .0123090 .1570568 .0000000 .0000000 .0000000 .6000000 .01 .02 .0445870 .2906782 .0000000 .0000000 .0000000 .0000000 . 02 .03 .0909046 .4041740 .0000000 .0000000 .0000000 .0000000 .03 .04 .1465392 .5004132 .0000000 .0000000 .0000000 .0000000 .04 .05 .2077720 .5818797 .0000000 .0000000 .0000000 .6000000 .05 .06 .2717144 .6507202 .0000000 .0000000 .0000000 .6000000 .06 .07 .3361606 .7087874 .0000000 .0000000 .0000000 .0000000 .07 .08 .3994626 .7576779 .0000000 .0000000 .0000000 .0000000 .08 .09 .4604246 .7987649 .0000000 .0000000 .0000000 .6000000 .09 .10 .5182148 .8332282 .0000000 .0000000 .0000000 .6000000 .10 .11 .5722902 .8620791 .0000000 .0000000 .0000000 .0000000 .11 .12 .6223360 .886183% .0000000 .0000000 .0000000 .0000000 .12 .13 .6682135- .9062811 .0000000 .0000000 .0000000 .0000000 .13 .14 .7099184 .9230030 .0000000 .0000000 .0000000 .0000000 .14 .15 .7475463 .9368866 .0000000 .0000000 .0000000 .0000000 .15 • 16 .7812649 .9483883 .0000000 .0000000 .0000000 .0000000 .16 .17 .8112911 .9578956 .0000000 .0000000 .0000000 .0000000 .17 .18 .8378737 .9657362 .0000000 .0000000 .0000000 .0000000 .'18 .19 .8612792 .9721872 .0000000 .0000000 .0000000 .0000000 .19 .20 .8817805, .9774820 .0000000 .0000000 .0000000 .0000000 .20 .21 .8996494 .9818172 .0000000 .0000000 .0000000 .0000000 .21 .22 .9151500- .9853577 .0000000 .0000000 .0000000 ,0000001 .22 .23 .9285343 .9882418 .0000000 .0000000 .0000000 .0000001 .23 .24 .9400398 .9905848 .0000000 .0000000 .0000000 .0000002 .24 .25 .9498870 .9924831 .0000000 .0000000 .0000000 .0000003 .25 .26 •.9582788 .9940167 .0000000 .0000000 .0000000 .0000006 • 26 .27 ,9653999 .9952522 .0000000 .0000000 .0000001 .0000010 .27 .28 ,9714175- .9962446 .0000000 .0000000 .0000001 .6000017 .28 .29 .9764813 .9970393 .0000000 .0000000 .0000002 .0000027 .29 .30 ,9807249 .9976737 .0000000 .0000000 .0000003 .0000044 .30 .31 .9842663 .9981785- .0000000 .0000000 .0000006 .0000068 .31 .32 .9872093 .9985788 .0000000 .0000000 .0000009 .0000106 .32 .33 .9896448 .9988952 .0000000 .0000001 .0000014 .0000161 .33 .34 .9916519 .9991444 .0000000 .0000001 .0000023 .0000243 .34 .35 .9932987 .9993400 .0000000 .0000002 .0000035- .0000360 .35 .36 .9946442 .9994929 .0000000 .0000003 .0000053 .0000526 .36 .37 .9957386 .9996120 .0000000 .0000005, .0000080 .0000761 .37 .38 .9966248 .9997044 .0000000 .0000008 ..0000119 .0001087 .38 .39 .9973392 .9997758 .0000000 .0000013 .0000176 .0001536 .39 .40 .9979124 .999830? .0000001 .0000019 .0000256 .0002148 .40 .41 .9983701 .9998728 .0000001 .0000029 .0000368 .0002975- .41 .42 .9987339 .9999049 .0000002 .0000043 .0000525, ,0004079 .42 . 43 .9990216 .9999292 .0000003 .0000063 .0000742 .0005543 .43 .44 .9992479 .9999476 .0000004 .0000091 .0001038 .0007466 .44 .45 .9994251 .9999614 .oooooo'6 .0000132 .0001440 .0009971 ♦ 45 • 46 .9995630 .9999718' .0000009 .0000188 .0001981 .0013208 .46 .47 .9996697 .9999795- .0000013 .0000267 .0002703 .0017358 .47 1. 0 .48 .9997519 .9999851 .0000018 .0000375, .0003660 .0022641 .48 .49 .9998148 .9999893 .0000027 .0000523 .0004918 .0029316 .49 • 50 .9998627 .9999924 .0000038 .0000725- .0006561 .0037689 .50 223 BINOMIAL DISTRIBUTION Table 2 - Partial Sums v /n» s n-s s-r p n=l8 r=l4 n-18 r=13 n-18 r=12 n=l8 r=11 n=l8 r=10 n=l8 r= 9 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .coooooo .0000000 .0000000 ,.0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000003 .0000033 .08 .09 .0000000 .0000000 .0000000 .0000001 .0000008 .0000088 .09 .10 .0000000 .0000000 .0000000 .0000002 .0000020 .0000209 .10 .11 .0000000 .0000000 .0000000 .0000004 .0000049 .0000451 .11 .12 .0000000 .0000000 .0000001 .0000010 .0000108 .0000902 .12 .13 .0000000 .0000000 .0000002 .00.00024 .0000222 .0001694 .13 .14 .0000000 .0000000 .0000005- .0000049 .0000428 .0003013 .14 .13 .0000000 .0000001 .0000010 .0000098 .0000786 .0005115- .15 .16 .0000000 .0000002 .0000020 .0000185, .0001378 .0008335- .16 .17 .0000000 .0000004 .0000039 .0000335- .0002322 .0013100 .17 .18 .0000001 .0000007 .0000072 .0000582 .0003776 .0019942 .18 .19 .0000001 .0000014 .0000130 .0000978 .0005949 .0029498 .19 .20 .0000002 .0000025, .0000225- .0001591 .0009109 .0042520 .20 .21 .0000004 .0000045- .0000377 .0002518 .0013591 .0059875- .21 .22 .0000008 .0000078 .0000615- .0003881 .0019805- .0082534 .22 • 23 .0000014 .0000130 .0000978 .0005845- .0028245, .0111572 .23 .24 .0000023 .0000214 .0001520 .0008612 .0039492 .0148145- .24 .25 .0000039 .0000342 .0002312 .0012440 .0054218 .0193478 .25 . 26 .0000065, .0000537 .0003446 .0017639 .0073184 .0248839 .26 .27 .0000105, .0000825- .0005042 .0024586 .0097243 .0315513 •27 .28 .0000166 .0001244 .0007250, .0033724 .0127329 .0394771 • 28 .29 .0000259 .0001845- .0010259 .0045572 .0164451 .0487838 .29 .30 .0000395- .0002691 .0014298 .0060725, .0209680 .0595859 .30 .31 .0000594 .0003866 .0019646 .0079857 .0264132 .0719867 .31 . 32 .0000878 .0005474 .0026635- .0103719 .0328950, .0860746 .32 . 33 .0001281 .0007648 .0035657 .0133140 .0405282 .1019205- .33 .34 .0001844 .0010551 .0047167 .0169019 .0494254 .1195743 .34 .35 .0002621 .0014379 .0061690 .0212315, .0596947 .1390631 • 35 • 36 .0003679 .0019372 .0079820 .0264042 .0714363 .1603886 .36 »3y .0005105- .0025816 .0102223 .0325250, .0847405, .1835265, .37 .38 .0007006 .0034047 .0129640 .0397012 .0996840 .2084248 .38 • 39 l« a .0009515, .0044459 .0162879 .0480401 .1163278 .2350043 .39 .40 1. .0012794 .0057505- .0202816 .0576473 .1347141 .2631588 .40 .41 .0017038 .0073705, .0250386 .0686241 .1548647 .2927563 .41 *42 .0022484 .0093648 .0306575- .0810647 .1767785- .3236408 .42 .43 ), It .0029409 .0117991 .0372405, .0950544 .2004302 .5556348 .43 • 44 li r* .0038143 .0147464 .0448925, .1106660 .2257694 .3885420 .44 • 45 ). r .0049068 .0182868 .0537190 .1279578 .£527203 .4221509 .45 .46 .0062628 .0225071 .0638240 .1469711 .2811814 .4562384 • 46 • 47 )i Q .0079330 .0275003 .0753084 .1677276 .3110266 .4905737 .47 • 4o .0099751 .0333653 .0882670 .1902275, .3421061 .5249229 .48 .49 C r\ .0124540 .0402050, .1027865- .2144478 .3742489 .5590529 .49 .30 .0154419 .0481262 .1189423 .2403412 .4072647 .5927353 .50 11'" ' :-J 224 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-18 r= 8 n=l8 r- 7 n=l8 r = 6 n=l8 r= 5 n=l8 r = 4 n=l8 r- 3 P .01 .0000000 .0000000 .0000000 .0000008 .0000274 .0007292 .01 .02 .0000000 .0000000 .0000010 .0000221 .0003910 .0052124 .02 .03 .0000000 .0000005, .0000099 .0001500, .0017682 .0157199 .03 .04 .0000002 .0000035, .0000501 .0005662 .0049896 .0332995, .04 .05 .0000011 .0000152 .0001720 .0015464 .0108732 .0581289 .05 .06 .0000045 .0000494 .0004616 .0034421 .0201191 .0897916 .06 .07 .0000133 .0001313 .0010455- .0066514 .0332510 .1274895, .07 .08 .0000352 .0003019 .0020912 .OH5878 .0505920 .1702048 .08 .09 .0000822 .0006216 .0038030 .0186497 .0722628 .2168196 .09 .10 .0001735- .0011721 .0064151 .0281939 .0981968 .2662040 .10 .11 .0003375,- .0020586 .0101814 .0405143 .128164-3 .3172760 .11 .12 .0006142 .0034089 .01$3639 .0558271 .1618022 .3690424 .12 .13 .0010561 .0053720 .0222206 .0742617 .1986456 .4206231 .13 .14 .0017304 .0081150, .0309932 .0958566 .2381589 .4712636 .14 .15 .0027194 .0118185, .0418964 .1205614 .2797645- .5203380 .15 .16 .0041205, .0166712 .0551076 .1482420 .3228690 .5673468 .16 .17 .0060462 .0228635, .0707599 .1786891 .3668851 .6119090 .17 .18 .0086221 .0305812 .0889355- .2116291 .4112497 .6537518 .18 .19 .0119849 .0399983 .1096631 .2467363 .4554381 .6926990 .19 .20 .0162801 .0512710 .1329163 .2836462 .4989745, .7286581 .20 .21 .0216580 .0645314 .1586146 .3219680 .5414394 .7616075- .21 .22 .0282698 .0798822 .1866260 .3612978 .5824731 .7915843 .22 .23 .0362637 .0973928 .2167716 .4012298 .6217777 .8186727 .23 .24 .0457803 .1170957 .2488310 .4413671 .6591164 .8429936 .24 .25 .0569480 .1389848 .2825492 .4813307 .6943108 .8646950- .25 • 26 .0698786 .1630145, .3176440 .5207667 .7272377 .8839438 .26 .27 .0846637 .1891003 .3538135, .5593531 .7578239 .9009188 • 2 Z .28 .1013708 .2171201 .-3907441 .5968034 .7860414 .9158047 . 28 .29 .1200403 .2469172 .4281179 .6328698 .8119017 .9287868 .29 .30 .1406835- .2783036 .4656199 .6673451 .8354495, .94004-78 .30 .31 .1632806 .311064-3 .5029448 .7000627 .85C7579 .9497640 .31 . 32 .1877806 .3449625, .5398027 .7303958 .8759219 .9581034 .32 .33 .2141009 .3797447 .5759238 .7597560 .8930543 .9652238 . 33 .34 .2421285- .4151462 .6110632 .7865908 .9082800 .9712721 .34 .35 .2717216 .4508969 .6450034 .8113804 .9217325, .9763831 • 35 • 36 .3027123 .4867268 .6775566 .8341350- .9335498 .9806797 .36 .37 .3349094 .5223712 .7085664 .8548903 .9438711 .9842731 .37 .38 .3681021 .5575756 .7379079 .8737046 .9528343 .9872627 .38 • 39 .4020644 .5921001 .7654874 .8906545, .9605739 .9897369 • 39 .4o .4365592 .6257231 .7912416 .9058314 .9672187 .9917736 .40 .41 .4713427 .6582447 .8151360 .9193377 .9728909 .9934414 .41 .42 .5061698 .6894889 .837162^ .9312843 .9777049 .9947994 .42 .43 .5407976 .7193055- .8573377 .9417868 .9817668 .9958993 .43 1. 1. .44 .5749906 .7475712 .8756991 .9509631 .9851740 .9967850- .44 .45 .6085245, .7741900 .8923033 .9589314 .9880150, .9974941 .45 1, ^ • 46 .6411898 .7990930 .9072224 .9658075, .9903696 .9980586 .46 .47 .6727950- .8222375> .9205411 .9717040 .9923091 .9985052 .47 Ji O .48 .7031693 .8436059 .9323540 .9767281 .9938966 .9988564 • 4o .49 .7321651 .8632037 .9427629 .9809813 .9951878 .9991308 .49 • 50 .7596588 .8810577 .9518738 .9845581 .9962311 .9993439 • 50 225 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=l8 r- 2 n=l8 r- 1 n=l9 r=19 n=19 r-l8 n=19 r=17 n=19 r=l6 p .01 .0137565“ .1654862 .0000000 .0000000 .0000000 .0000000 .01 .02 .0495088 .3048647 .0000000 .0000000 .0000000 .0000000 .02 .03 .1003027 .4220487 .0000000 .0000000 .0000000 .0000600 .03 .04 .1606942 .5203967 .0000000 .0000000 .0000000 .0000000 .04 .05 .2264774 .6027857 .0000000 .0000000 .0000000 .0000000 .05 .06 .2944547 .6716770 .0000000 .0000000 .0000000 .0000000 .06 .07 ..3622445- .7291723 .0000000 .0000000 .0000000 .0000000 .07 .08 .4281198 .7770636 .0000000 .0000000 .0000000 .0000000 .08 .09 .4908753 .8168761 .0000000 .0000000 .0000000 .0000000 .09 .10 .5497161 .8499054 .0000000 .0000000 .0000000 .0000000 .10 .11 .6041670 .8772504 .0000000 .0000000 .0000000 .0000000 .11 .12 .6539977 .8998414 .0000000 .0000000 .0000000 .0000000 .12 .13 .6991623 .9184645, .0000000 .0000000 .0000000 .0000000 .13 .14 .7397502 .9337826 .0000000 .0000000 .0000000 .0000000 .14 .15 .7759473 .9463536 .0000000 .0000000 .0000000 .0000000 .15 .16 .Bo8oo46 .9566462 .0000000 .0000000 .0000000 .0000000 .16 .17 .8362139 .9650533 .OQOOOOO .0000000 .0000000 .0000000 .17 .18 .8608890 .9719037 .0000000 .0000000 .0000000 .0000000 .18 .19 .8823517 .9774716 .0000000 .0000000 .0000000 .0000000 .19 .20 .9009208 .9819856 .0000000 .0000000 .0000000 .0000000 .20 .21 .9169046 .9856356 .0000000 .0000000 .0000000 .0000000 .21 .22 .9305957 .9885790 .0000000 .0000000 *.0000000 .0000000 .22 .23 .9422670 .9909462 .0000000 .0006060 .0000000 .0000000 .23 .24 .9521706 .9928444 .0000000 .0000000 .0000000 .0000001 .24 .25 .9605360 .9943623 .0000000 .0000060 .0000000 .0000001 .25 .26 .9675706 .9955724 .0000000 .0000000 .0000000 .0000002 .26 .27 .9734600 .9965341 .0000000 .0000000 .0000000 .0000003 .27 .28 .9783691 .9972961 .0000000 .0000000 .0000000 .0000006 .28 .29 .9824431 .9978979 .0000000 .0000000 .0000001 .0000009 .29 .30 .9858095, .9983716 .0000000 ,0000000 .0000001 .0000015, .30 • 31 .9885791 .9987431 .0000000 .0000000 .0000002 .0000025, .31 • 32 .9908475, .9990336 .0000000 .0000000 .0000003 .0000040 .32 • 33 .9926975- -9992598 .0000000 .0000000 .0000005, .0000063 .33 .34 .9941994 .9994353 .0000000 .0000000 .0000009 .0000097 .34 • 35 .9954132 .9995710 .0000000 .0000001 .0000014 .0000149 .35 .36 .9963897 .9996755- .0000000 .0000001 .0000021 .0000224 .36 .37 .9971718 .9997556 .0000000 ,0000002 .0000033 .0000332 .37 .38 .9977951 .9998167 .0000000 .0000003 .0000051 .0000487 .38 • 39 .9982895- .9998632 .0000000 .0000005, .0000076 .0000706 .39 .40 .9986797 .9998984 .0000000 .0000008 .0000114 .0001013 .40 .41 .9989862 .9999250 .0000000 .0000012 .0000168 .0001437 .41 .42 .9992257 .9999448 .0000001 .0000019 .0000245, .0002018 .42 .43 .9994119 .9999597 .0000001 .0000028 .0000355- .0002806 .43 .44 .9995558 .9999707 .0000002 .0000042 .0000508 .0003866 .44 .45 .9996664 .9999788 .0000003 .0000062 .0000721 .0005279 .45 .46 .9997510 .9999848 .0000004 .0000091 .0001013 .0007145, .46 .47 .9998153 ,9999891 .0000006 .0000132 .0001412 .0009591 .47 .48 .9998639 .9999923 .0000009 .0000190 .0001952 .0012771 .48 • 49 .9999003 .9999946 .0000013 .0000270 .0002677 .0016873 .49 • 50 .9999275, .9999962 .0000019 .0000381 .0003643 .0022125, .30 226 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-8 p n=19 r-15 n=19 r-14 n=19 r=13 n*19 r=12 n=19 r=ll n=19 r=10 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005, .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000015- .09 .10 .0000000 .0000000 .0000000 .0000000 .0000004 .0000039 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000009 .0000093 .11 .12 .0000000 .0000000 .0000000 .0000002 .0000022 .0000203 .12 .13 .0000000 .0000000 .0000000 .0000005- .0000049 .0000413 .13 .14 .0000000 .0000000 .0000001 .0000011 .0000102 .0000790 .14 .15 .0000000 .0000000 .0000002 .0000023 .0000201- .0001435, .15 .16 .0000000 .0000000 .0000005- .0000047 .0000376 .0002491 .16 .17 .0000000 .0000001 .0000010 .0000089 .0000673 .0004154 .17 .18 .0000000 .0000002 .0000019 .0000164 .0001157 .0006686 .18 .19 .0000000 .0000004 .0000036 .0000291 .0001922 .0010423 .19 .20 .0000001 .0000007 .0000065, .0000498 .0003095- .0015791 .20 .21 .0000001 .0000013 .0000115- .0000826 .0004843 .0023310 .21 .22 .0000002 .0000023 .0000196 .0001334 .0007385- .0033605, .22 .23 .0000004 .0000040 .0000325, .0002098 .0010997 .0047410 .23 .24 .0000007 .0000069 .0000527 .0003222 .0016024 .0065569 .24 .25 .0000012 .0000115, .0000835- .0004844 .0022884 .0089033 .25 .26 .0000021 .0000188 .0001293 .0007136 .0032081 .0118854 .26 .27 .0000036 .0000299 .0001963 .0010319 .0044203 .0156176 .27 .28 .0000059 .0000468 .0002926 .0014663 .0059933 .0202213 .28 .29 .0000094 .0000719 .0004285- .0020505- .0080047 .0258233 .29 .30 .0000149 .0001084 .0006173 .0028226 .0105412 .0325534 .30 .31 .0000231 .0001608 .0008757 .0038311 .0136982 .0405410 .31 • 32 .0000353 .0002349 .0012246 .0051302 .0175793 .0499125, .32 • 33 .0000531 .0003383 .0016891 .0067826 .0222947 .0607877 .33 .34 .0000787 .0004804 .0023000 .0088597 .0279599 .0732761 .34 • 35 .0001151 .0006736 .0030938 .0114409 .0346936 .0874736 .35 • 36 .0001661 .0009328 .0041133 .0146140 .0426158 .1034592 .36 .37 .0002368 .0012768 .0054087 .0184743 .0518448 .1212913 .37 .38 .0003336 .0017282 .0070372 .0231241 .0624947 .1410055, .38 • 39 .0004648 .0023143 .0090643 .0286713 .0746723 .1626116 .39 .40 .0006407 .0030678 .0115629 .0352279 .0834741 .1860920 .40 .41 .0008741 .0040272 .0146145- .0429087 .1039827 .2114003 .41 .42 .0011809 .0052373 .0183077 .0518285, .1212645- .2384607 .42 .43 .0015805, .0067499 .0227389 .0621005- .1403660 .2671682 .43 .0020964 .0086244 .0280107 .0738328 .1613115- .2973894 .44 .45 .0027564 .0109278 .0342313 .0871264 .1841009 .3289641 .45 .46 .0035941 .0137352 .0415129 .1020717 .2087079 .3617076 .46 .47 .0046485, .0171297 .0499701 .1187454 .2350781 .3954137 .47 .48 .0059654^ .0212024 .0597181 .1372081 .2631292 .4298582 .48 • 49 .0075976 .0260520 .0708699 .1575005, .2927504 .4648028 .49 • 50 .0096054 .0317841 .0835342 .1796417 .3238029 .5000000 .50 227 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n- s p n=19 r= 9 n=19 r- 8 n=19 7 n= 19 r= 6 n-19 r= 5 n=19 r- 4 P .01 .0000000 .0000000 .0000000 .0000000 .0000010 .0000344 .01 .02 .0000000 .0000000 .0000001 .0000014 .0000294 .0004875- .02 .03 .0000000 .0000000 .0000008 .0000141 .0001986 .0021867 .03 .04 .0000000 .0000003 .0000054 .0000708 .00074-31 .0061220 .04 .05 .0000001 .0000018 .0000231 .0002407 .0020128 .0132360 .05 .06 .0000005, .0000070 .0000741 .0006404 .0044427 .0242994 .06 .07 .0000019 .0000216 .0001953 .0014379 .0085134 .0398477 .07 .08 .0000059 .0000566 .0004451 .0028509 .0147082 .0601610 .08 .09 .0000154 .0001307 .0009079 .0051392 .0234749 .0852729 .09 .10 .0000361 .0002733 .0016964 .0085930 .0351942 .1149976 .10 .11 .0000772 .0005269 .0029521 .0135180 .0501558 .1489666 .11 .12 .0001531 .0009496 .0048435- .0202195, .0685441 .1866711 .12 .13 .000284-7 .0016172 .0075623 .0289859 .0904316 .2275027 .13- .14 .0005014 .0026243 .0113180 .0400741 .1157789 .2707935, .14 .15 .0008427 .0040843 .0163302 .0536961 .1444419 .3158505- .15 .16 .0013594 .0061287 .0228210 .0700091 .1761823 .3619855- .16 .17 .0021152 .0089052 .0310059 .0891078 .2106824 .4085392 .17 .18 .0031872 .0125747 .0410849 .1110203 .2475608 .4549001 .18 .19 .0046664 .0173075- .0532346 .1357070 .2863897 .5005177 .19 .20 .0066577 .0232783 .0676001 .I630623 .3267119 .5449113 .20 :2l .0092783 .0306614 .0842888 .1929188 .3680570 .5876747 .21 ;22 .0126570 .0396245, .1033658 .225053.8 .4099564 .6284775, .22 .23 .0169317 .0503234 .1248499 .2591970 .4519558 .6670636 .23 .24 .0222463 .0628960 .1487121 .2950396 .4936270 .7032469 .24 .25 .0287478 .0774572 .1748759 .3322446 .5345757 .7369069 .25 .26 .0365825, .0940940 .2032182 .3704559 .5744492 .7679813 .26 .27 .0458917 .1128616 .2335729 .4093092 .6129402 .7964595, .27 .28 .0568073 .1337806 .2657349 .4484407 .6497900 .8223751 .28 .29 .0694482 .1568346 .2994654 .4874959 .6847890 .8457983 .29 .30 .0839152 .1819695, .3344985- .5261375- .7177765- .8668290 .30 .31 .1002878 .2090936 .3705473 .5640514 .7486382 .8855898 .31 .32 .1186205, .2380788 .4073114 .6009525- .7773042 .9022200 .32 .33 .1389400 .2687634 .4444838 .6365885- .8037445- .9168702 •33 • 34 .1612427 .3009545, .4817580 .6707426 .8279651 .9296973 • 34 .35 .1854936 .3344330 .5188342 .7032354 .8500036 .9408602 .35 .3 6 .2116252 .3689575, .5554255, .7359248 .8699243 .9505165, .36 .37 .2395382 .4042703 .5912635- .7627063 .8878132 .9588198 • 57 • 38 .2691022 .4401021 .6261019 .7895107 .9037739 .9659171 .38 • 39 .3001578 .4761783 .6597212 .8143026 .9179231 .9719475- .39 .40 .3325190 .5122247 .6919305, .8370775, .9303863 .9770407 .40 .41 .3659768 .5479725, .7225701 .8578587 .9412945, .9813166 .41 .42 .4003030 .5831638 .7515118 .8766937 .9507810 .9848846 .42 .43 .4352548 .6175560 .7786593 .8936508 .9589782 .9878438 .43 .44 .4705794 .6509261 .8039475- .9088153 .9660159 .9902828 .44 .45 .5060190 .6830740 .8273410 .9222859 .9720190 .9922806 .45 .46 .5413160 .7138253 .8488325, .9341715, .9771061 .9939065, .46 .47 .5762]77 .7430330 .8684402 .9445876 .9813884 .9^52213 .47 .48 .6104812 .7705789 .8862050, .9536536 .9849690 .9962773 .48 .49 .64-38779 .7963740 .9021877 .9614899 .9879425- .9971199 .49 .50 .6761971 .8203583 .9164658 .9682159 .9903946 .9977875- .50 228 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V “ 8 p n=19 r= 3 n=19 r= 2 n-19 r= 1 n=20 r=20 n=20 r=19 n=20 r=l8 p .01 .OOO8594 .0152758 .1738314 .0000000 .0000000 .0000000 .01 .02 .0060983 .0546159 .3187674 .0000000 .0000000 .0000000 .02 .03 .0182574 .1099551 .4393873 .0000000 .0000000 .0000000 .03 .04 .0383955 .1750823 .5395808 .0000000 .0000000 .0000000 .04 • 05 .0665464 .2452928 .6226464 .0000000 .0000000 .0000000 .05 .06 .1020714 .3170881 .6913763 .0000000 .0000000 .0000000 .06 • 07 .1439224 .3879294 .7481302 .0000000 .0000000 .0000000 • 07 .08 .1908380 .4560353 .7948986 .0000000 .0000000 .0000000 .08 .09 .2414846 .3202153 .8333572 .0000000 .0000000 .0000000 .09 .10 .2945552 .5797350, .8649148 .0000000 .0000000 .0000000 .10 .11 .3488340 .6342062 .8907528 .0000000 .0000000 .0000000 .11 .12 .4032371 ,6834989 .9118605- .0000000 .0000000 .0000000 .12 .13 .4568332 .7276716 .9290641 .0000000 .0000000 .0000000 .13 .14 .5088517 .7669148 .9430530 .0000000 .0000000 .0000000 .14 • 15 .5586794 .8015083 .9544006 .0000000 .0000000 .0000000 .15 .16 .6058520 .8317873 .9635828 .0000000 .0000000 .0000000 .16 .17 .6500408 .8581166 .9709943 .0000000 .0000000 .0000000 .17 .18 .6910365- .8808716 .9769610 .0000000 .0000000 .0000000 .18 .19 .7287350 .9004245- .9817520 .0000000 .0000000 .0000000 .19 .20 .7631107 .9171338 .9855885- .0000000 .0000000 .0000000 .20 .21 .7942199 .9313381 .9886521 .0000000 .0000000 .0000000 .21 .22 .8221668 .9433520 .9910916 .0000000 .0000000 ,0000000 .22 .23 .8470994 .9534632 .9930285, .0000000 .0000000 ,0000000 .23 .24 .8691961 .9619323 .9945618 .0000000 .0000000 .0000000 .24 .25 .8886552 .9689926 .9957717 .0000000 .0000000 .0000000 .25 .26 .9056868 .9748511 .9967236 .0000000 .0000000 .0000000 .26 .27 .9205050- .9796900 .9974699 .0000000 .0000000 .0000000 •27 .28 .9355227 .9836687 .9980532 .0000000 .0000000 .0000000 .28 .29 .94^5472 .9869250, .9985075, .0000000 .0000000 .0000000 .29 .30 .9557765 .9895782 .9988601 .0000000 .0000000 .0000000 .30 .31 .9617967 .9917299 .9991328 .0000000 .0000000 .0000001 .31 .32 .9685815, .3934671 .9993428 .0000000 .0000000 .O000001 .32 .33 .9742901 .9948630 .9995041 .0000000 .0000000 .0000002 .33 .34 .9790674 .9959796 .9996273 .0000000 .0000000 .0000003 .34 .35 .9850436 .9968684 .9997212 .0000000 .0000000 .0000005, .35 • 36 .9863353 .9975726 .9997923 .0000000 .0000000 .0000009 .36 .37 .9890456 .9981278 .9998460 .0000000 .0000001 .0000014 .37 .38 .9912650- .3985633 .9998864 .0000000 .0000001 .0000021 .38 .39 .9930724 .9989032 .'9999166 .0000000 .0000002 .0000033 .39 .40 .9945561 .9991672 .'9999391 .0000000 .0000003 .0000050, .40 .41 .9957147 .9993711 .'9999557 .0000000 .0000005, .0000076 .41 .42 .9966585- .9995277 .'9999680 .0000000 .0000008 .0000114 .42 .43 .9974097 .9996474 .'9999770 .0000000 .0000013 0000169 .43 .44 .9980041 .9997383 .9999836 .0000001 .0000020 .0000247 .44 .45 .9984717 .9998070 .9999883 .0000001 .0000030 .0000359 .45 ♦ 46 .9988371 .9998585, .9999918 .0000002 .0000044 .0000515, .46 .47 .9991210 .999897 0 .9999942 .0000003 .0000065, .0000734 .47 .48 .9995400 .9999255, .9999960 .0000004 .0000096 .0001035, .48 .49 .9995079 .9999465- .9999972 .0000006 .0000139 .0001449 .49 .50 .9996557 .9999619 .9999981 .0000010 .0000200 .0002012 • 50 229 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n*2C r =17 n=20 r«=l6 n=20 r=15 n=20 r=l4 n=20 r-13 n=20 r-12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000002 .0000024 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000005, .0000050- .15 .16 .0000000 .0000000 .0000000 .0000001 .0000011 .0000099 .16 .17 .0000000 .0000000 .0000000 .0000002 .0000023 .0000188 .17 .18 .0000000 .0000000 .0000000 .0000005- .0000045, .0000343 .18 .19 .0000000 .0000000 .0000001 .0000010 .0000084 .0000601 .19 .20 .0000000 .0000000 .0000002 .0000018 .0000152 .0001017 .20 .21 .0000000 .0000000 .0000004 .0000034 .0000264 .0001670 .21 .22 .0000000 .0000001 .0000007 .0000061 .6000446 .0002665- .22 .23 .0000000 .0000001 .0000012 .0000106 .0000733 .0004144 .23 .24 .0000000 .0000002 .0000022 .0000179 .0001174 .0006295- .24 .25 .0000000 .0000004 .0000038 .0000295, .0001837 .0009354 .25 .26 .0000001 .0000007 .0000065- .0000475, .0002812 .0013622 .26 .27 .0000001 .0000012 .0000107 .0000749 .0004219 .0019467 • 2 Z .28 .0000002 .0000020 .0000173 .0001156 .0006212 .0027339 .28 .29 .0000003 .0000034 .0000275, .0001753 .0008987 .0037768 .29 .30 .0000005, .0000056 .0000429 .0002610 .0012789 .0051382 .30 .31 .0000009 .0000089 .0000658 .0003824 .0017919 .0068899 .31 .32 .0000015, .0000140 .0000992 .0005516 .0024744 .0091159 .32 . 33 .0000024 .0000217 .0001472 .0007840 .0033700 .0119016 .33 .34 .0000039 .0000332 .0002153 .0010991 .0045303 .0153538 .34 .35 .0000061 .0000499 .0003106 .0015207 .0060153 .0195794 .35 • 36 .0000094 .0000741 .0004421 .0020778 .0078936 .0246946 .36 .37 .0000144 .0001085, .0006216 .0028056 .0102430 .0308214 .37 .38 .0000216 .0001570 .0008635, .0037456 .0131503 .0380849 .38 .39 .0000322 .0002244 .0011861 .0049468 .0167110 .0466117 .39 .40 •0000473 .0003170 .0016115, .0064659 .0210289 .0565264 .40 .4l .0000688 .0004432 .0021669 .0083680 .0262151 .0679490 .41 .42 .0000990 .0006100 .0028846 .0107269 .0323865- .0809916 .42 .43 .0001409 .0008396 .0038034 .0136252 .0396644 •0957546 .43 .44 .0001986 .0011389 .0049687 .0171544 .0481724 .1123234 .44 .45 .0002772 .0015307 .0064336 .0214144 .0580341 .1307650- .45 .46 .0003834 .0020391 .0082590 .0265129 .0693699 .1511243 .46 .47 .0005256 .0026931 .0105147 .0325647 .0822945, .173 J :213 .47 .48 .0007145, .0035275- .0132792 .0396899 .0969137 .1976502 .48 .49 .0009633 .0045833 .0166402 .0480128 .1133189 .2237730 .49 • 50 .0012884 .0059090 .0206947 .0576591 .1315880 .2517223 .50 230 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n -s p n=20 r =11 n=20 r =10 n=20 r= 9 n=20 r= 8 n=20 r = 7 n=20 r= 6 P .01 .oooopoo .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000019 .02 .03 .0000000 .0000000 .0000000 .0000001 .0000012 .0000196 .03 .04 .0000000 .0000000 .0000000 .0000005, .0000080 .0000977 .04 .03 .0000000 .0000000 .0000002 .0000029 .OOOO339 .0003293 .05 .06 .0000000 .0000001 . 0000009 .0000110 .0001081 .OOO8685, .06 .07 .0000000 .0000003 .0000033 .0000337 .0002822 .0019332 • 07 .08 .0000001 .0000009 .0000099 .OOOO876 .0006375, .0037995- .08 .09 .0000002 .0000028 .0000258 .0002007 .0012887 .0067894 .09 .10 .0000007 .0000672 .0000599 .0004156 .0023861 .0112531 .10 .11 .0000018 .0000168 .0001267 .0007976 .0041144 .0175482 .11 .12 .0000044 .0000362 .0002486 .0014168 .0066886 .O28OI85- .12 .13 .0000097 .0000729 .0004579 .0023901 .0103474 .0369738 .13 .14 .0000199 .0001381 .0007986 .0038414 .0153438 .0506727 .14 .13 0000386 .0002484 .0013289 .0059211 .0219351 .0673080 .15 .16 ,0000714 .0004267 .0021225- .0087994 .0303711 .0869968 .16 .17 .0001265- .0007044 .0032695- .0126623 .0408832 .1097755, .17 .18 .0002152 .0011219 .0048769 .0177065, .0536733 .1355976 .18 .19 .0003538 .0017309 .0070682 .0241336 .0689044 .1643367 .19 .20 .0005634 .0025948 .0099818 .0321427 .0866925, .1957922 .20 .21 .0008721 .0037899 .0137687 .0419231 .1071011 .2296979 .21 .22 .0013153 .0054058 .0185899 .0536476 .1301372 .2657324 .22 .23 .0019372 .0075449 .0246118 .0674645, .1557497 .3035315, .23 .24 .0027914 .0103223 .0320022 .0834919 .1838307 .3427006 .24 .25 .0039421 .0138644 .0409252 .1018119 .2142181 .3828273 .25 .26 .0054642 .0183067 • 0515355, .1224663 .2467000 .4234942 • 26 .27 .0074436 .0237916 .0639736 • 1-454537 .2810217 .4642896 .27 .28 .0099772 .0304654 .0783599 .1707278 .3168925- .5048185, .28 .29 .0131721 .0384745, .0947902 .1981976 .3539943 .5447109 •29 .30 .0171448 .0479619 .1133315- .2277282 .3919902 .5836292 .30 .31 .0220195- .0590625- .1340176 .2591442 .4305335, .6212733 .31 .32 .0279259 .0718991 .1568472 .2922332 .4692765, .6573850, .32 *33 .0349974 .0865780 .1817817 .3267511 .5078783 .6917499 .33 .34 .0433674 .1031847 .2087447 .3624277 .5460128 .7241983 .34 .35 .0531666 .1217806 .2376224 .3989734 .5833746 .7546043 .35 .36 .0645194 .1423989 .2682648 .4360860 .6196853 .7828846 .36 .37 .0775400 .1656427 .3004890 .4734577 .6546973 .8089958 .37 .38 .0923288 .1896823 .3340821 .5107820 .6881972 .8329307 .38 .39 .IO89687 .2162546 .3688058 .5477600 .7200079 .8547146 .39 .40 .1275212 .2446628 .4044013 .5841071 .7499893 .8744010 .4o .41 .1480239 .2747766 .4405950, .6195576 .7780385- .8920674 .41 .45 .1704869 .3064344 .4771045, .6538700 .8040882 .9078104 .42 .43 .1948909 .3394454 .5136443 .6868304 .8281057 .9217416 .43 .44 .2211858 *5735930 .5499319 .7182555- .8500893 .9339836 .44 .45 .2492894 .4086388 .5856938 • 74-79941 .8700662 .9446058 .45 .46 .2790878 .4443275- .6206703 .7759286 .8880885- .9539214 .46 .47 •3104359 .4803916 .6546209 .8019744 .9042295- .9618840 .47 .48 .3431591 .5165572 .8873281 .8260794 .9185803 .9686850- .48 .49 .3770561 .5525496 .7188010 .8482227 .9312458 .9744516 .49 .30 .4119015- .5880985, .7482777 .8684120 .9423409 .9793053 .50 832939 0 - 50 - 16 231 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-20 r- 5 n-20 r- 4 n=20 r= 3 n=20 r= 2 n=20 r= 1 n=21 r=21 p .01 .0000014 .0000426 .0010036 .0168593 .1820931 .0000000 .01 .02 .0000386 .0005997 .0070687 .0598990 .3323920 .0000000 .02 .03 .0002582 .0026688 .0210084 .1198380 .4562057 .0000000 .03 .04 .0009583 .0074129 .0438628 .1896622 .5579976 .0000000 .04 .03 .0025759 .0159015, .0754837 .2641605- .6415141 .0000000 .05 .06 .0056341 .0289657 .1149724 .3395454 .7098938 .0000000 .06 .07 .0107068 .0471329 .1610029 .4131435- .7657611 .0000000 • 07 .08 .0183444 .0706152 .2120538 .4831444 .8113067 .0000000 .08 .09 .0290367 .0993320 .2665704 .548398I .8483551 .0000000 .09 .10 .0431745- .1329533 .3230732 .6082530 .8784233 .0000000 .10 .11 .0610250- .1709520 .3802249 .6624263 .9027700 .0000000 .11 .12 .0827194 .2126590 .4368685- .7109023 .9224372 .0000000 .12 .13 .1082508 .2573157 .4920422 .7538526 .9382858 .0000000 .13 .14 .1374809 .3041217 .5449805, .7915741 .9510256 .0000000 .14 .15 .1701552 .3522748 .5951037 .8244421 .9612405- .0000000 .15 .16 .2059108 .4010041 .6420017 .8528746 .9694096 .0000000 .16 .17 .2443181 .4495945- .6854137 .8773058 .9759252 .0000000 .17 .18 .2848819 .4974046 .7252068 .8981677 .9811080 .0000000 .18 .19 .3270740 .5438786 .7613544 .9158767 .9852191 .0000000 .19 .20 .3703517 .5885511 .7939153 .9308247 .9884708 .0000000 .20 .21 .4141767 .6310492 .8230147 .9433741 .9910352 .0000000 .21 .22 .4580310 .6710892 .8488275, .9538547 .9930515- .0000000 .22 .23 .5014306 .7084718 .8715631 .9625633 .9946320 .0000000 .23 .24 .5439358 .7430747 .8914528 .9697634 .9958669 .0000000 .24 .25 .5851585- .7748440 .9087396 .9756874 .9968288 • .0000000 .25 .26 .6247675, .8037847 .9236695- .9805379 .9975754 .0000000 .26 .27 .6624904 .8299518 .9364849 .9844906 .9981530 .0000000 .27 .28 .6981138 .8534404 .9474196 .9876963 .9985983 .0000000 .28 .29 .7314817 .8743775, .9566947 .9902840 .9989403 .0000000 .29 .30 .7624922 .8929132 .9645169 .9923627 .9992021 .0000000 .30 .31 .7910932 .9092139 .9710760 .9940248 .9994016 .0000000 .31 .32 .8172773 .9234557 .9765449 .9953473 .9995531 .0000000 .32 • 33 .8410760 .9358188 .9810792 .9963946 .9996677 .0000000 .33 .34 .8625541 .9464831 .9848175, .9972198 .9997540 .0000000 .34 .35 .8818034 .9556244 .9878823 .9978669 .9998188 .0000000 .35 .36 .8989375- .9634113 .9903808 .9983717 .9998671 .0000000 .36 .37 .9140856 .9700034 .9924060 .9987635, .9999030 .0000000 .37 .38 .9273883 .9755493 .9940383 .9990661 .9999296 .0000000 .38 .39 .9389926 .9801862 .9953464 .9992984 .9999491 .0000000 .39 .40 .9490480 .9840388 .9963885, .9994760 .9999634 .0000000 .40 .41 .9577036 .9872198 .9972139 .9996108 .9999739 .0000000 .41 .42 .9651045- .9898296 .9978636 .9997127 .9999814 .0000000 .42 .43 .9713904 .9919571 .9983719 .9997891 .9999869 .0000000 .43 .44 .9766934- .9936802 .9987672 .9998462 .9999908 .0000000 .44 .45 .9811367 .9950666 .9990726 .9998886 .9999936 .0000001 .45 .46 .9848343 .9961746 .9993070 .9999198 .9999956 .0000001 .46 .47 .9878898 .9970541 .9994857 .9999427 .9999969 .0000001 .47 .48 .9903970 .9977474 .9996210 .9999593 .9999979 .0000002 .48 .49 .9924394 .9982900 .9997228 .9999714 .9999986 .0000003 .49 • 50 .9940910 .9987116 .9997988 .9999800 .9999990 .0000005- .50 ■ J 232 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V‘ a p n=21 r =20 ,11=21 r =19 n=21 r-18 n-21 r=17 n=21 r=l6 n=21 r=15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005, .20 .21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000010 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000002 .0000019 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000004 .0000034 .23 .24 .0000000 .0000000 .0000000 .0000001 .0000007 .0000060 .24 .25 .0000000 .0000000 .0000000 .0000001 .0000012 .0000102 .25 .26 .0000000 .0000000 .0000000 .0000002 .0000022 .0000171 .26 .27 .0000000 .0000000 .0000000 .0000004 .0000038 .0000280 .27 .28 .0000000 .0000000 .0000001 .0000007 .0000063 .0000449 .28 .29 .0000000 .0000000 .0000001 .0000012 .0000104 .000070*! .29 .30 .0000000 .0000000 .0000002 .0000020 .0000168 .0001084 .30 .31 .0000000 .0000000 .0000003 .0000034 .0000265, .0001640 .31 .32 .0000000 .0000000 .0000006 .0000055, .0000413 .0002440 .32 .33 .0000000 .0000001 .0000009 .0000088 .0000631 .0003574 .33 .34 .0000000 .0000001 .0000015, .0000138 .0000951 .0005158 .34 .35 .0000000 .0000002 .0000025- .0000214 .0001412 .0007341 .35 .36 .0000000 .0000003 .0000039 .0000327 .0002066 .0010310 .36 .37 .0000000 .0000006 .0000062 .0000492 .0002984 .0014297 .37 .38 .0000001 .0000009 .0000095, .0000731 . 0004255 - .0019587 .38 .39 .0000001 .000001*! .0000146 .0001071 .0005994 .0026528 .39 .40 .0000001 .0000022 .0000220 .0001552 .0008348 .0035533 .40 .41 .0000002 .0000034 .0000327 .0002223 .0011499 .0047095 .41 .42 .0000004 .0000053 .0000482 .0003149 .0015671 .0061783 .42 .43 .0000006 .0000080 .0000702 .0004413 .0021140 .0080267 .43 .44 .0000009 .0000120 .0001012 .0006123 .0028240 .0103304 .44 .45 .0000014 .0000178 ■. 0001445 - .0008413 .0037370 .0131749 .45 .46 .0000021 .0000261 .0002042 . 0011450 , .0049003 .0166558 .46 .47 .0000032 .0000379 .0002859 .0015444 .0063693 .0208782 .47 .48 .0000048 .0000547 .0003968 .0020647 .0082083 .0259563 .48 .49 •0000071 .0000781 .0005459 .0027371 .0104912 .0320128 .49 .50 . 0000105 - .0001106 .0007448 .0035987 .0133018 .0391769 .50 233 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p - n-21 r=l 4 n=21 r-13 n»21 r=12 n=21 r=11 n=21 r=10 n=21 r- 9 : p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000001 .0000015, .06 .07 .0000000 .0000000 .0000000 .0000000 .0000005- .0000054 • 07 .08 .0000000 .0000000 .0000000 .0000001 .0000017 .0000162 .08 .09 .0000000 .0000000 .0000000 .0000005- .0000048 . 0000415 , .09 .10 .0000000 .0000000 .0000001 .0000014 .0000124 .0000954 .10 .11 .0000000 .0000000 .0000004 .0000035- .0000289 .0002001 .11 .12 .0000000 .0000001 .0000009 .0000082 .0000617 .0003888 .12 .13 .0000000 .0000002 .0000022 .0000179 .0001230 .0007091 .13 .14 .0000000 .0000005, .0000048 .0000364 .0002306 .0012246 .14 .15 .0000001 .0000012 .0000100 .0000701 . 0004105 - .0020177 .15 • 16 .0000003 .0000025, .0000198 .0001283 .0006981 .0031908 .16 .17 .0000006 .0000051 .0000371 .0002247 .0011404 .0048663 .17 .18 .0000012 .0000099 .0000669 .0003784 .0017978 .0071863 .18 .19 .0000024 .0000182 .0001159 .0006154 .0027450, .0103107 .19 .20 . 0000045 , .0000325- .0001941 .0009697 .0040722 .0144140 .20 .21 .0000082 .0000559 .0003151 .0014848 .0058855- .0196812 .21 .22 .0000146 .0000934 .0004372 . 0022152* .0083063 .0263026 .22 .23 .0000250 , .0001518 .0007647 .0032270 .0114703 .0344679 .23 .24 .0000418 .0002403 .0011483 .0045989 .0155255, .0443597 .24 .25 .0000681 .0003716 .0016871 .0064227 .0206296 .0561468 .25 .26 .0001083 .0005623 .0024287 .0088032 .0269462 .0699775, • 26 .27 .0001686 .0008336 .0034309 .0118575, .0346407 .0859732 .27 .28 .0002572 .0012128 .0047620 .0157139 .0438758 .1042229 .28 .29 .0003851 ,0017334 .0065015- .0205098 .0548061 .1247784 .29 .30 .0005664 .0024367 .0087402 .0263899 .0675728 . 1476505 - .30 • 3 l .0008194 .0033723 .0115801 .0335028 .0822986 .1728068 .31 .32 .0011669 .0045990 .0151338 .0419973 .0990825- .2001707 .32 .33 .0016374 .0061854 .0195232 .0520190 .1179952 .2296216 .33 .34 .0022657 .0082103 ,0248784 .0637053 .1390751 .2809969 .34 .35 .0030938 .0107627 .0313349 .0771815, .1623252 .2940952 .35 • 36 .0041715- .0139420 .0390316 .0925560 .1877106 .2386805- .36 .37 .0055574 .0178570 .0481073 .1099160 .2151578 . 364 ^ 875 - .37 .38 .0073194 .0226254 .0586976 .1293231 .2445542 .4012281 .38 .39 .0095548 .0283723 .0709309 .1508102 .2757496 . 4385979 .39 .40 .0122911 .0352279 .0849243 .1743779 .3085582 .476283c .40 , 4 l .0156853 .0433260 .1007797 .1999925, .3427622 .5159697 .41 .42 .0198239 .0528006 .1185796 .2275849 .3781159 .5513460 .42 .43 .0248220 .0637832 .1383832 .2570493 .4143569 .5881143 .43 .44 .0308023 .0763989 .1602229 .2882449 .4511821 .6239943 .44 .45 .0378932 .0907630 .1841009 .3209966 .4883135, .6587289 .45 .46 .0462271 .1069769 .2099875, .3550980 .5254452 .6920891 .46 .47 .0559377 .1251243 .2378184 .3903150, .5622794 .7238770 .47 .48 .0671571 .1452670 .2674945- .4263902 .5985273 .7539287 .48 .49 .0800128 .1674414 .2988817 .4630479 .6339148 .7821157 .49 • 50 .0946236 .1916552 .3318119 .5000000 .6681881 .8083448 .50 234 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n ” 8 p n-21 r- 8 n=21 r= 7 n=21 r = 6 n=21 r= 5 n-21* r= 4 n=21 r= 3 P .01 .0000000 .0000000 .0000000 .0000018 .0000522 .0011621 .01 .02 .0000000 .0000001 .0000027 .0000498 .0007291 .0081253 .02 .03 .0000001 .0000018 .0000.268 .0003305, .0032190 .0239732 .03 .04 .0000008 .0000116 .0001321 .0012165- .0088709 .0496948 .04 .03 .0000044 .0000487 .0004415, .0032403 .0188806 .0849175, • 05 .06 .0000168 .0001537 .0011545- .0070340 .0341261 .1284468 .06 .07 .0000511 .0003978 .0025473 .0132566 .0551038 .1786527 • 07 .08 .0001316 .0008905, .0049631 .0225261 .0819303 .2337410 .08 .09 .0002986 .0017838 .0087917 .0353633 .1143835- .2919349 .09 .10 .0006127 .0032728 .0144453 .0521524 .1519653 .3515912 .10 .11 .0011^89 .0055921 .0223306 .0731169 .1939721 .4112671 .11 .12 .0020494 .0090082 .0328226 .0983121 .2395641 .4697525, • 12 .13 .0034245, .0138088 .0462398 .1276293 .2878301 .5260776 .13 .14 .0054517 .0202899 .0628259 .1608106 .3378419 .5795036 .14 .15 .OO83232 .0287410 .0827348 .1974714 .3886992 .62950^5- .15 .16 .0122509 .0394312 .1060231 .2371258 .4395637 .6757413 • 16 .17 .0174599 .0525949 .1326478 .2792151 .4896837 .7180353 .17 .18 .0241806 .0684197 .1524688 .3231360 .5384090 .7563398 .18 .19 .0326401 .0870365, .1952568 .3682669 .5851990 .7907136 .19 .20 .0430526 .IO85125- .2307041 .4139916 .6296240 .8212972 .20 • 21 .0556105, .1328465- .2684384 .4597199 .6713619 .8482902 .21 .22 •0704753 .1599681 .3080381 .5049038 .7101916 .8719335, .22 .23 .O8777OI .1897395, .3490483 .5490501 .7459828 .8924931 .23 .24 .1075732 .2219595, •3909970 .5917291 .7786854 .9102473 .24 .25 .1299134 .2565704 .4334101 .6325799 .8083179 .9254765, .25 . 26 .1547670 .2926665- .4758252 .6713120 .8349547 .9384553 • 26 .27 .1820570 .3305040 .5178038 .7077050- .8587157 .9494465- • 27 .28 .2116539 .3695118 .5589412 .7416053 .8797546 .9586971 .28 .29 .2433786 .4093021 .5988745- .7729215, .8982495- .9664355 .29 .30 .2770068 .4494819 .6372881 .8016185, .9143943 .9728706 .30 .31 .3122749 .4896829 .5739175- .8277106 .9283911 .9781901 .31 .32 .3488871 .5294712 .7085505, .8512543 .9404442 .9825617 .32 • 33 .3865231 .5685560 .7410275, .8723411 .9507547 .9861333 .33 .34 .4248466 .6065958 .7712392 .8910899 .9595168 .9800343 .34 .35 .4635138 .6433050- .7991240 .9076408 .9669147 .9913769 .35 •36 .5021818 .6784370 .8246637 .9221481 .9731203 .9932575- .36 .37 .5405164 .7117878 .8478791 .9347752 .9782923 .99^7583 .37 .38 .5781998 .7431959 .8688246 .9456895, .9825751 .9959489 .38 .39 .6149367 .7725435, .8875830 .9550581 .9860987 .9968877 .39 .40 .6504600 •7997540 .9042598 .9630444 .9889787 .9976235- .40 .41 .6845347 .8247903 .9189782 .9698052 .9913174 .9981968 .41 .42 .7169616 .8476515, .9318739 .9754890 .9932039 .9986402 .42 .43 .7475788 .8683691 .9430906 .9802341 .9947155- .9989813 .43 .44 .7762624 .8870028 .9527759 .9841676 .9959185- .9992420 .44 .45 .8029266 .9036360 .9610777 .9874052 .9968693 .9994398 .45 .46 .8275221 .9183716 .9681413 .9900508 .9976155- .9995889 .46 .47 .8500343 .9313271 .9741067 .9921970 .9981970 .9997005- .47 .48 .8704799 .9426305, .9791067 .9939252 .99864'67 .9997834 .48 .49 .8889040 .9524167 .9832656 .9953062 .9989921 .9998446 .49 .50 .9053764 .9608231 .9866982 .9964013 .9992552 .9998894 .50 235 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n-21 r= 2 n=21 r= 1 n=22 r=22 n=22 r=21 n=22 r=20 n=22 r *19 p .01 .0185117 .1902721 .0000000 .0000000 .0000000 .0000000 .01 .02 .0653488 .3457442 .0000000 .0000000 .0000000 .0000000 .02 .03 .1299291 . 4725195 - .0000000 .0000000 .0000000 .0000000 .03 .04 .2043956 .5756777 .0000000 .0000000 .0000000 .0000000 .04 .03 .2830282 .6594384 .0000000 .0000000 .0000000 .0000000 .05 .06 .3617663 .7273001 .0000000 .0000000 .0000000 .0000000 .06 .07 . 4378267 .7821578 .0000000 .0000000 .0000000 .0000000 .07 .08 .5093973 .8264021 .0000000 .0000000 .0000000 .0000000 .08 .09 .5753942 .8620031 .0000000 .0000000 .0000000 .0000000 .09 .10 .6352700 .8905810 .0000000 .0000000 .0000000 .0000000 .10 .11 .6888641 .9134653 .0000000 .0000000 .0000000 .0000000 .11 .12 .7362865, .9317447 .0000000 .0000000 .0000000 .0000000 .12 .13 .7778289 .9463087 .0000000 .0000000 .0000000 .0000000 .13 .14 .8138973 .9578820 .0000000 .0000000 .0000000 .0000000 .14 .15 .8449619 .9670544 .0000000 .0000000 .0000000 .0000000 .15 .16 .8715202 .9743040 .0000000 .0000000 .0000000 .0000000 .16 .17 .8940711 .9800180 .0000000 .0000000 .0000000 .0000000 .17 .18 .9130970 .9845086 .0000000 .0000000 .0000000 .0000000 .‘18 .19 .9290518 . 9880275 - .0000000 .0000000 .0000000 .0000000 .19 .20 .9423539 .9907766 .0000000 .0000000 .0000000 .0000000 .20 .21 .9533829 .9929178 .0000000 .0000000 .0000000 .0000000 .21 .22 .9624780 .9945802 .0000000 .0000000 .0000000 .0000000 .22 .23 .9699391 .9958666 .0000000 .0000000 .0000000 .0000000 .23 .24 .9760282 .9968589 .0000000 .0000000 .0000000 .0000000 .24 .25 .9809727 .9976216 .0000000 .0000000 .0000000 .0000000 .25 .26 .9849677 .9982058 .0000000 .0000000 .0000000 .0000000 • 26 .27 . 9881795 - .9986517 .0000000 .0000000 .0000000 .0000000 .27 .28 .9907489 .9989908 .0000000 .0000000 .0000000 .0000000 .28 .29 .9927943 .9992476 .0000000 .0000000 .0000000 .0000000 .29 .30 . 9944145 , . 9994415 - .0000000 .0000000 .0000000 .0000001 .30 .31 .9956916 .9995871 .0000000 .0000000 .0000000 .0000001 .31 .32 .9966932 .9996961 .0000000 .0000000 .0000000 .0000002 .32 .33 .9974747 .9997774 .0000000 .0000000 .0000000 .0000004 .33 .34 .9980814 .9998377 .0000000 .0000000 .0000000 .0000006 .34 .35 . 9985500 , .9998822 .0000000 .0000000 .0000001 .0000010 .35 • 36 .9989100 •9999149 .0000000 .0000000 .0000001 .0000016 .36 .37 .9991851 .9999389 .0000000 .0000000 .0000002 .0000026 .37 .38 •9993942 .9999563 .0000000 .00000OO .0000004 .0000042 .38 .39 .9995522 .9999690 .0000000 .0000000 .0000006 .0000065, .39 .40 .9996709 .9999781 .0000000 .0000001 .0000010 .0000101 .40 .41 .9997597 .9999846 .0000000 .0000001 .0000015, .0000154 .41 .42 . 9998255 , .9999892 .0000000 .0000002 .0000024 .0000233 .42 .43 .9998742 . 9999925 , .0000000 .0000003 .0000038 .0000347 .43 .44 .9999098 .9909948 .0000000 .0000004 .0000058 .0000512 .44 • 45 .9999358 . 9999965 - .0000000 .0000007 .0000088 .0000748 .45 .46 •9999547 .9999976 .0000000 .0000010 .0000131 .0001080 .46 .47 .9999682 .9999984 .0000001 .0000016 .0000195, .0001545- .47 .48 .9999778 .9999989 .0000001 .0000024 .0000287 .0002189 .48 • 49 .9999847 .9999993 .0000002 .0000037 .0000419 .0003073 .49 • 50 . 9999895 , . 9999995 , .0000002 .0000055- .0000606 .0004277 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p ri=22 r=l8 n=22 r=17 n=22 r-16 n=22 r-15 n=22 r-14 n=22 r=l3 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005- .13 .14 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000003 .0000025, .15 .16 .0000000 .0000000 .0000000 .0000001 .0000006 .0000053 .16 .17 .0000000 .0000000 .0000000 .0000001 .0000014 .0000106 .17 .18 .0000000 .0000000 .0000000 .0000003 .0000028 .0000201 .18 .19 .0000000 .0000000 .0000001 .0000007 .0000054 .0000368 .19 .20 .0000000 .0000000 .0000001 .0000013 .0000101 .0000648 .20 .21 .0000000 .0000000 .0000003 .0000025, .0000183 .0001103 .21 .22 .0000000 .0000001 .0000006 .0000047 .0000319 .0001823 .22 .23 .0000000 .0000001 .0000011 .0000084 .0000542 .0002927 .23 .24 .0000000 .0000002 .0000020 .0000146 .0000894 .0004582 .24 .25 .0000000 .0000004 .0000035- .0000247 .0001440 .0007005- .25 .26 .0000001 .0000007 .0000061 .0000408 .0002263 .0010475, .26 .27 .0000001 .0000013 .0000103 .0000660 .0003481 .0015349 •27 .28 .0000002 .0000023 .0000171 .0001043 .0005248 .0022065, .28 .29 .0000004 .0000039 .0000278 .0001616 .0007761 .0031161 .29 .30 .0000007 .0000065- .0000442 .0002458 .0011275- .0043277 .30 .31 .0000013 .0000106 .0000691 .0003671 .0016108 .0059167 .31 .32 .0000021 .0000170 .0001061 .0005393 .0022652 .0079701 .32 .33 .0000035, .0000267 .0001602 .0007798 .0031383 .0105869 .33 .34 .'0000057 .•0000415- .0002381 .0011108 .0042869 .0138774 .34 .35 .0000091 .0000633 .0003487 .0015600 .0057779 .0179630 .35 .36 .0000143 .’0000953 .0005034 .0021616 .0076889 .0229742 .36 .37 .0000221 .0001414 .0007169 .0029569 .0101083 .0290496 .37 .38 .*0000337 .’0002070 .0010081 .0039958 .0131357 .0363329 .38 .39 .‘0000507 .’0002991 .0014002 .0053368 .0168814 .0449701 .39 .40 .*0000753 .’0004271 .0019222 .0070484 .0214658 .0551065- .40 .41 .'0001104 .0006026 .0026092 .0092095- .0270180 .0668820 .41 .42 .0001602 ;ooo84o8 .0035038 .0119095- .0356741 .0804278 .42 .43 .’0002298 70011606 .0046565- .0152487 .0415753 .0958612 .43 .44 .0003261 70015855- .0061268 .0193380 .0508648 .1132814 .44 .45 .0004580 .0021444 .0079841 .0242982 .0616846 .1327651 .45 .46 . 000'6370 .0028724 .0103078 .0302586 .0741720 .1543618 .46 .47 .0008774 .0038121 .0131885- .0373562 .0884554 .1780905, .47 .48 .0011974 .0050137 .016727*! .0457327 .1046499 .2039362 .48 .49 .0016196 .0065386 .0210368 .0555328 .1228528 .2318471 .49 .50 .0021718 .0084503 .0262^94 .0669003 ,1431394 .2617356 .50 237 BINOMIAL DISTRIBUTION Table B - Partial Sums n 2 s-r s q n-s p n=22 r=12 n=22 r-ll n=22 r=10 n=22 r= 9 n=22 r- 8 n=22 r- 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000025, .03 .04 .0000000 .0000000 .0000000 .0000001 .0000013 .0000164 .04 .05 .0000000 .Ooooooo .0000000 .0000005, .0000066 .0000684 .05 .06 .0000000 .0000000 .0000002 .0000024 .0000250, .0002137 .06 .07 .0000000 .0000001 .0000008 .0000086 .0000754 .0005483 • 07 .08 .0000000 .0000003 .0000028 .0000254 .0001923 .0012163 .08 .09 .0000001 .0000009 .0000081 .0000647 .0004323 . 0024145 , .09 .10 .0000002 .0000025- .0000207 .0001472 .OOO8787 .0043000 .10 .11 .0000007 .0000063 .0000477 .0003055, .0016466 .0074333 .11 .12 .0000018 .0000146 .0001010 .0005881 . 0028845 - .0118659 .12 .13 .0000042 .0000315, .0001992 .0010621 . 0047745 - .0180249 .13 .14 .0000092 .0000636 .0003698 .0018164 .0075291 .0262449 .14 .15 .0000190 .0001211 .0006516 .0029636 .OH3859 .0368401 .15 .16 .0000571 .0002195- .0010969 .0046404 .0165998 .0500859 .16 .17 .0000690 .0003804 .0017738 .0070072 .0234328 .0662039 .17 .18 .0001229 .0006339 .0027677 .0102452 .0321436 .0853485, .18 .19 .0002108 .0010200 .0041825- .0145533 .0429754 .1075984 .19 .20 .0003492 .0015902 .0061406 .0201417 .0561446 .1329508 .20 .21 .0005607 .0024090 .0087826 .0272263 .0718301 .1613208 .21 .22 .0008752 .0035552 .0122655- .0360206 .0901637 . 1925435 , .22 .23 .0013310 .0051229 .0167597 .0467274 .1112231 .2263806 .23 .24 .0019765- .0072213 .0224457 .0595310 .1350259 .2625285, .24 .25 .0028710. .0099744 .0295089 .0745885- .1615276 .3006303 .25 .26 .0040861 t 0135204 .0381343 .0920228 .1906209 .3402878 .26 .27 .0057061 .0180090 .0485005- .1119158 .2221377 . 3810750 - .27 .28 .0078285, .0235992 .0607730 .1343036 .2558541 .4225520 .28 .29 .0105639 .0304557 .0750980 .1591724 .2914964 .4642781 -29 .30 .0140351 .0387448 .0915961 .1864574 .3287493 .5058237 .30 .31 .0183761 . 0486295 “ .1103561 .2160419 .3672652 . 54 8.78l 8 .31 .32 .0237301 .0602646 .1314307 .2477600 .4066740 .5867766 .32 *33 .0302468 .0737911 .1548319 .2813991 .4465939 .6254716 .33 .34 .0380795, .0893310 .1805285, .3167058 . 486641 ^ .6625746 .34 .35 .0473812 .1069818 .2084447 .-3533917 .5264407 .6978416 .35 .36 .0583004 .1268117 .2384598 .3911409 .5656337 .7310786 .36 .37 .0709765- . 1488555 - .2704098 .4296182 .6038868 . 7621415 , .37 .38 .0855353 .1731109 .3040903 .4684773 .640898.3 .7909348 .38 .39 .1020838 .1995366 .3392604 .5073701 .6764034 .8174089 .39 .40 .1207057 .2280500- .3756483 .5459541 .7101776 .8415563 .40 .41 .1414570 .2585281 .4129572 .5839013 .7420395 .8634074 .41 .42 .1643618 .2908079 .4508725, . 6209046 .7718514 .8830249 .42 .43 .1894097 .3246890 .4890692 .6566840 .7995186 .9004993 .43 .44 .2165526 .3599373 .5272195- .6909922 .8249881 .9159429 .44 .45 .2457040 .3962892 .5650005- .7236179 *8482458 .9294848 .45 .46 .2767383 .4334577 .6021014 .7543883 .8693129 .9412657 .46 .47 .3094918 .4711383 .6382303 .7831709 .8882419 . 9514335 , .47 .48 .3437644 .5090160 .6731200 .8098733 .9051122 .9601391 .48 .49 .3793231 .5467727 .7065332 .8344420 .9200252 .9675327 .49 .50 .4159060 .5840940 .7382664 .8568606 .9350997 .9737606 .50 238 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n-22 v - 6 n=22 r = 5 n=22 r= 4 n=22 r=- 3 n=22 r= 2 n=22 r= 1 P .01 .0000001 .0000023 .OOOO633 .0013356 .0202293 .1983694 .01 .02 .0000036 .OOOO634 .0008770 .0092698 .0709567 .3588293 .02 .03 .0000359 .0004172 .0038416 .0271519 .1402068 .4883439 .03 .04 . 0001755 - .0015226 .0105039 .0558828 .2192469 .5926506 .04 .03 . 0005815 - .0040223 .0221825- .0948230 .3018487 . 6764665 - .05 .06 .0015072 .OO86596 '.0397854 .1424460 .3836983 .7436621 .06 .07 .0032970 .0161859 .0637523 .1967949 .4619299 .7974068 • 07 .08 .OO6368I .0272784 '.0940751 . 2557935 , .5347577 .8402900 .08 .09 .0111831 .0424751 .1303631 0174462 .6011890 .8744228 • 09 .10 .0182160 .0621337 . 1719279 - •3799591 .6608011 .9015229 .10 .11 .0279171 .o 864 lio •. 2178745 , .4418028 .7135702 .9229841 .11 .12 .0^06813 .1152624 •.2671867 .5017366 . 7597415 - .9399354 .12 .13 . 0568205 - .1484554 •.3188023 .5588052 .7997313 . 9532885 , .13 .14 .0765438 . 1855950 , . 3716745 , .6123187 .8340552 . 9637785 , .14 .15 .0999452 .2261556 4248200 .6618231 .8632758 .9719962 .15 .16 . 1269995 , .2695158 .4773521 .7070659 .8879656 .9784154 .16 .17 .1575642 .3149947 •.5285035- .7479614 .9086821 .9834149 • 17 .18 .1913889 .3618851 .5776366 .7845561 .9259511 .9872970 .18 .19 .2281287 .4094840 *.6242468 .8169979 .9402571 .9903023 • 19 .20 .2673616 .4571181 .6679586 . 8455085 , •. 9520385 - .9926213 .20 .21 .3086075 .5041648 •.7085169 .8703597 .9616852 .9944051 .21 .22 .3513486 .5500671 *.7457748 .8918533 . 9695405 - . 9957725 , .22 .23 . 3950487 * .5943446 •.7796802 .9103057 .9759024 .9968173 .23 .24 .4391727 .6365986 •.8102603 .9260347 .9810276 .9976127 .24 .25 .4832026 .67651 44 -.8376075, .9393506 .9851349 .9982162 .25 .26 .5266518 .7138591 .8618649 . 9505485 , .9884096 .9986723 .26 .27 .5690771 .7484779 .8832130 .9599044 .9910070 .9990158 .27 .28 .6100871 .7802871 .9018585- .9676716 .9930566 .9992734 .28 .29 .6493481 .8092666 .9180235- .9740796 .9946658 .9994658 .29 .30 .5865872 .8354512 .9319372 .9793338 .9959226 .9996090 .30 .31 .7215933 .8589216 .9438288 .9836156 .9968992 .9997151 .31 .32 .7542158 .8797951 .9539218 .9870838 .9976541 .9997934 .32 • 33 .78^3610 .8982176 -.9624297 .9898760 .9982346 .9998508 .33 .34 .8119885- .9143551 .9695528 .9921103 .9986786 •.9998929 .34 .35 .8371049 .9283866 .9754764 •. 9938875 - .9990163 .9999234 .35 • 36 .8597580 .9404981 .9803697 .9952924 .9992718 .9999456 .36 .37 .8800306 .9508765, .9843847 .9963962 .9994640 . 9999615 - .37 .38 .8980333 .9597060 .9876572 '.9972581 .9996078 .9999729 .38 .39 .9138983 .9671639 .9903064 .9979269 .9997147 '.9999811 .39 .40 .9277736 .9734181 .9924366 . 9984425 - .9997938 .9999868 .40 .41 .9398173 .9786252 .9941379 . 9988375 - .9998519 .9999909 .41 .42 .9501923 .9829293 .9954871 .9991380 .9998943 .•9999938 .42 .43 .9590623 .9864611 .9965498 .9993652 .9999251 .9999957 .43 .44 .9655882 .9893380 .9973808 .9995358 .9999472 .9999971 .44 .45 .9729251 .9916640 .9980260 .9996630 .9999631 .9999981 .45 .46 .9782197 .9935306 .9985233 .9997571 .9999744 .9999987 .46 .47 .9826092 .9950170 .9989036 .9998263 .9999824 .9999991 .47 .48 .9882196 . 9961915 , .9991923 .9998767 . 999988 c .9999994 .48 .49 .9891655, .9971123 .9994098 .9999132 .9999918 .9999996 .49 • 50 .9915497 .9978282 .9995723 .9999394 . 9999945 , .9999998 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p a=23 r-23 n-23 r=22 n-23 r =21 n=23 r=20 n=23 r =19 ■ j -- - r : r - ■ ■ as n =23 r=l8 .01 .0000000 .0000000 .000000 .0000000 .ooooooo .ooooooo .01 .02 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .02 .03 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .03 .04 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .04 .05 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .05 .06 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .06 .07 .'0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .07 .08 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .08 .09 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .09 .10 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .10 .11 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .11 .12 .0000000 .oooocoo .0000000 .0000000 .ooooooo .ooooooo .12 .13 .0000000 .0000000 .0000000 ,0000000 .ooooooo .ooooooo .13 .14 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .14 .15 .Ooooooo .0000000 .0000000 .0000000 .ooooooo .ooooooo .15 .16 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo • 16 .17 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .17 .18 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .19 .20 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .21 .22 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .22 .23 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .23 .24 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000001 .24 .25 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000001 .25 .26 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000002 .26 .27 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000004 .27 .28 .0000000 .0000000 .0000000 .ooooooo .0000001 .0000008 .28 .29 .0000000 .0000000 .0000000 .ooooooo .0000001 .0000014 .29 .30 .0000000 ,0000000 .0000000 .ooooooo .0000003 .0000025- .30 .31 .0000000 .0000000 .0000000 .ooooooo .0000005- .0000042 .31 .32 .0000000 .0000000 .0000000 .0000001 .0000008 .0000069 .32 *33 .0000000 .0000000 .0000000 .0000001 .0000014 .0000112 .33 .34 .0000000 .0000000 .0000000 .0000002 .0000023 .0000179 .34 .35 .0000000 .0000000 .0000000 .0000004 .0000038 .0000281 .35 • 36 .0000000 .0000000 .0000001 .0000007 .0000062 . 0000435 - .36 .37 .0000000 .0000000 .0000001 .0000011 .0000098 .0000662 .37 .38 .0000000 .0000000 .0000002 .0000018 .0000154 .0000995, .38 .39 .0000000 .0000000 .0000003 .0000029 .0000238 .0001476 .39 .40 .0000000 .0000000 .0000004 .0000046 .0000362 .0002160 .40 .41 .0000000 .0000000 .0000007 .0000072 .0000544 .0003122 .41 .42 .0000000 .0000001 .0000011 .0000112 .0000808 .0004461 .42 .43 .0000000 .0000001 .0000018 .0000171 .0001186 .0006300 .43 .44 .0000000 .0000002 .0000028 .0000258 .0001722 .0008802 .44 .45 .0000000 .0000003 .0000043 .0000385- .0002472 .0012169 .45 .46 .0000000 .0000005* .0000066 .0000568 .0003513 .0016653 .46 .47 .0000000 .0000008 .0000100 .0000830 .0004943 .0022567 .47 .48 .0000000 .0000012 .0000150, .0001200 .0006886 .0030292 .48 .49 .0000001 .0000019 .0000224 .0001720 .0009504 .0040289 .49 .50 .0000001 .0000029 .0000330 .0002441 .0012997 .0053110 .50 - 240 BINOMIAL DISTRIBUTION Table E - Partial Sums n 2 s-r s n-s q p n =23 r- 1.7 — n=23 r =16 n=23 r-15 n=23 r-14 n=23 r=13 n=23 r=12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 ' .0000000 .0000000 .0000005- .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000013 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000004 .0000033 .12 .13 .0000000 .0000000 .0000000 .0000001 .0000010 .0000078 .13 .14 .0000000 .0000000 .0000000 .0000003 .0000023 .0000169 .14 .15 .0000000 .0000000 .0000001 .0000006 .0000050- .0000344 .15 .16 .0000000 .0000000 .0000002 .0000014 .0000104 .0000663 .16 .17 .0000000 .0000000 .0000004 .0000029 .0000205, .0001220 .17 .18 .0000000 .0000001 .0000008 .0000059 .0000386 .0002149 .‘18 .19 .0000000 .0000002 .•0000016 .000011*! .0000699 .0003646 .19 .20 .0000000 .0000004 .0000031 .0000210 .0001217 .0005974 .20 .21 .0000001 .0000008 .0000058 .0000376 .0002049 .0009489 .21 .22 .0000002 .0000015- .0000107 .0000650- .00033*17 .001*1648 .22 .23 .0000003 .0000027 .0000189 .0001090 .0005315, .0022031 .23 .24 .0000006 .0000050- .0000325, .0001779 .0008226 .0032352 .24 .25 .0000012 .0000088 .0000545, .0002831 .0012*131 .0046468 .25 .26 .0000021 .0000151 .0000891 :0004398 .0018376 .0065390 .26 .27 .0000037 .0000253 .0001422 .0006686 .0026611 .0090279 .27 .28 .000006*1 .0000415, .0002220 .0009957 .0037807 .0122443 .28 .29 .0000108 .0000666 .0003398 .00145*17 .0052760 .0163325, -29 .30 .0000178 .00010*17 .0005103 .0020875, .0072399 .0214480 .30 .31 .0000287 .0001615, .0007527 .0029456 .0097791 .0277547 .31 .32 .0000455- .0002447 .0010916 .0040908 .0130133 .035*1211 .32 • 33 .0000708 .0003647 .0015581 .0055963 .0170747 .0446165- .33 .34 .0001083 .0005348 .0021906 .0075477 .0221062 .0555050, .34 .35 .0001632 .0007726 .0030363 .0100427 .0282594 .0682414 ' .35 •36 . 0002*122 .0011003 .0041514 .0131916 .0356916 .0829644 .36 .37 .0003544 .0015457 .0056029 .017116c .0445625, .0997917 .37 .38 .0005114 .0021434 .0074689 .0219506 .0550298 .1188140 .38 .39 .0007286 .0029355- .0098392 .0278360 .0672445- .1400904 .39 .40 .0010251 .0039727 .012815*1 .0349221 .0813462 .1636434 .40 .41 .0014253 .0053153 .0165109 .0433622 .0974578 .1894561 .41 .42 .0019593 .0070342 .0210506 .0533107 .1156801 .2174692 .42 .43 .0026638 .0092111 .0265692 .0649183 .1360870 .2475798. .43 .44 .0035837 .0119398 .0332098 .0783281 .1587207 .2796*119 .44 .45 .0047722 .0153254 .0411221 .0936708 .1835876 .3134674 .45 .46 .0062927 .0194852 .0504588 .1110593 .2106550, .3488293 .46 .47 .0082190 .0245473 .0613728 .1305839 .2398491 .3854657 .47 .48 .0106362 .0306499 .0740130 .1523073 .2710538 .4230852 .48 .49 .0136417 .0379398 .0885196 .1762600 .3041104 .*1613734 .49 .50 .0173448 .0465698 .1050198 .2024364 .3388197 .5000000 .50 241 BINOMIAL DISTRIBUTION Table E - Partial Sums n Z s-r V * 8 p n=23 r=ll n=2'3 r=10 n=23 r= 9 n=23 r ~ 8 n-23 r= 7 n=23 r =■ 6 P .01 .0000000 .0000000 .0000000 .OQOOOOO .0000000 .0000001 .01 .02 .OQOOOOO .0000000 .0000000 .OQOOOOO .0000002 .0000048 .02 .03 .OQOOOOO .0600000 .0000000 .0000002 .0000035, .0000474 .03 .04 .OQOOOOO . 000000.0 .0000001 .0000019 .0000228 .0002293 .04 .03 .0000000 .0000001 .0000008 .0000097 .0000940 .0007535, .05 .06 .0000000 .0000003 ,0000038 .0000364 .0002914 .0019364 .06 .07 .OQOOOOl .0000014 .0000133 .0001085- .0007407 .0041992 .07 .08 .0000003- .0000046 .0000388 .0002743 .0016285- ,0080409 .08 .09 .0000015, .0000132 .0000978 .0006107 .0032037 .0139994 .09 .10 .0000043 .0000334 .0002203 .0012298 .0057726 .0226077 .10 .11 .0000108 .0000761 .0004530 .0022831 .0096865, .0343515- .11 .12 .0000250- .0001594 .0008637 .0039623 .0153238 .0496310 .12 . 13 .0000533 .0003113 .0015447 .0064970 .0230683 .0687330 .13 .14 .0001065- .0005723 .0026162 .0101493 .0332868 .0918109 .14 .15 .0602007 .0009984 .0042269 .01520*10 .0463059 .H88768 .15 • 16 .0603598 .0616639 .0065539 .0219575, .0623921 .1498021 .16 .17 .0606173 .0026635- .0097995, .0307039 .0817351 .1843274 •.17 . 18 .0010180 .0041137 .0141869 .0417205- .1044358 .2220782 .18 .19 .0616209 .0061529 .0199535- .0552538 .1304991 .2625862 .19 .20 .0625003 .0089408 .0273423 .0715058 .1598330 .3053129 .20 .21 .0037474 .0126558 .0365931 .0906231 .1922510 .3496746 .21 .22 .0054715- .0174916 .0479321 .1126873 .2274806 .3950666 .22 • 23 .0677994 .0236523 .0615614 .1377093 .2651742 .4408868 .23 .24 .0108751 .0313462 .0776498 .1656265, .3049231 .4865550- .24 .25 .0148581 .0407788 .0963233 .1963033 .3462734 .5315305, .25 .26 .0199200 .0521453 .1176583 .2295343 .3887424 .5753257 .26 .27 .0262417 .0656226 .1*116757 .2650508 .4318356 .6175155 •27 .28 .0340079 .0813616 .1683377 .3025295, .4750619 .6577431 .28 .29 .0434020 .0994796 .1975464 .3416031 .5179484 .6957245- .29 .30 .0546002 .1200545- .2291450- .3818716 .5600528 .7312464 .30 • 31 .0677648 .1431187 .2629211 .4229153 .6009734 .7641651 .31 . 32 .0830377 .1686561 .2986125- .4643069 .6403571 .7944012 .32 *33 .1005346 .1965991 .3359134 .5056236 .6779051 .8219337 .33 .34 .1203382 .2268288 .3744839 .5464586 .7133753 .8467931 .34 • 35 .1424938 .2591762 .4139589 .5864310 .7465838 .8690535- .35 .36 .1670050, .2934250- .4539583 .6251939 .7774032 .8888245- .36 • 37 .1938306 .3293189 .*1940976 .6624410 .8057605, .9062436 .37 .38 .2228831 .3665574 .5339973 .6979122 .8316322 .9214689 .38 • 39 .2540289 . *1048232 .5732931 .7313955, .8550398 .9346719 .39 .4o .2870893 . *1437707 .6116435, .7627291 .8760433 .9460314 .40 .41 .3218440 .4830443 .6487380 .7918003 .8947354 .9557285, .41 .42 .3580350, .5222860 .6843022 .8185443 .9112352 .9639418 .42 .43 .3953725, .5611436 .7181029 .8429403 .9256814 .9708438 .43 .44 .4335415- ,7499504- .7499504 .8650083 .9382269 .9765981 .44 .45 I, /• .4722093 .6363783 .7797005- .8848034 .9490329 .9813576 .45 .46 .5110338 .'6721534 .8072536 .9024112 .9582645, .9852627 .46 • 47 .5496715, ,7063524 .8325543 .9179420 .9660861 .9884409 .47 .48 .5877859 .7387616 .8555880 .9315251 .9726577 .9910061 .48 .49 .6250553 .7692085- .8763778 .9433039 .9781328 .9930594 .49 .50 .6611803 .7975636 .8949802 .9534302 .9826552 .9946890 .50 E42 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n “ 8 p n=23 r= 5 n=23 r- 4 11=23 3 n=23 r= 2- n=23-r= 1 n=24 r=24 p .01 .0000029 .0000761 .0015246 .0220107 .2063857 .0000000 .01 .02 .0000797 .0010448 .0105035, .0767142 .3716527 .0000000 .02 .03 .0005199 .0045410 .0305436 .1506509 .5036936 .0000000 .03 .04 .0018819 .0123190 .0624174 .2341830 .6089445, .0000000 .04 .05 .0049303 .0258145, .1051743 .3205796 .6926431 .0000000 .05 .06 .0105271 .0459450, .1569211 .4052961 .7590424 .0000000 .06 .07 .0195156 .0730652 .2153544 .4854133 .8115883 .0000000 .07 .08 .0326221 .1070126 .2781106 .5592003 .8530668 .0000000 .08 .09 .0503850, .1472006 .3429831 .6257801 .8857248 .0000000 .09 .10 .0731131 .1927310 .4080433 .6848733 .9113706 .0000000 .10 .11 .1008720 .2425066 . 4716972 .7366058 .9314559 .0000000 .11 .12 .1334935 .2953327 .5326972 .7813648 .9471431 .0000000 .12 .13 .1706005- .3500027 .5901256 .8196937 .9593610 .0000000 .13 .14 .2116461 .4053647 .6433618 .8522165- .9688495, .0000000 .14 .15 .2559552 .4603704 .6920410 .8795838 .9761968 .0000000 .15 .16 .3027696 .5141063 .7360099 .9024375, .9818689 .0000000 .16 .17 .3512912 .5658113 .7752839 .9213866 .9862344 .0000000 .17 .18 .4007204 .6148821 .8100072 .9369933 .9895836 .0000000 .18 .19 .4502889 .6608695- .8404171 .9497657 .9921448 .0000000 .19 .20 .4992862 .7034686 .8668145, .9601550, .9940970 .0000000 .20 .21 .5470787 .7425039 .8895380 .9685564 .9955800 .0000000 .21 .22 .5931228 .7779121 .9089445- .9753115, .9967026 .0000000 .22 .23 .6369718 .8097240 .9253929 .9807128 .9975493 .0000000 .23 .24 .6782774 .8380462 .9392330 .9850080 .9981857 .0000000 .24 .25 .7167877 .8630433 .9507967 .9884053 .9986621 .0000000 .25 .26 .7523406 .8849226 .9603924 .9910779 .9990175, .6000000 .26 .27 .7848564 .9039197 .9683021 .9931693 .9992815, .0000000 .27 .28 .8143271 .9202862 .9747794 .9947973 .9994768 .0000000 .28 .29 .8408061 .93^2798 .9800496 .9960578 .9996207 .0000000 .29 .30 .8643970 .9461562 .9843104 .9270285, .9997263 .0000000 .30 .31 .8852428 .9561627 .9877335, .9977721 .9998034 .0000000 .31 .32 .9035157 .9645336 .9904663 .9983387 .9998595- .0000000 .32 • 33 .9194076 .9714869 .9926343 .9987680 .9999001 .0000000 .33 .34 .9331223 .9772223 .9943435, .9990914 .9999293 .0000000 .34 .35 .9448681 .9819203 .9956826 .9993338 .9999502 .0000000 .35 • 36 .9548519 .9857419 .9967250- .9995143 .9999652 .0000000 .36 .37 .9632746 .9888290 .9975313 .9996481 .9999757 .0000000 .37 .38 .9703275- .9913055, .-9981510 .9997465, .9999832 .0000000 .38 .39 .9761895- .9932784 .9986241 .9998186 .0999884 .0000000 .39 .40 .9810255, .9948390 .9989830 .9998710 .9999921 .0000000 .40 .41 .9849854 .9960647 .9992534 .9999089 .9999946 .0000000 .41 .42 .9882036 .9970205, .•9994557 .9999361 .9999964 .0000000 .42 . 43 .9907992 .9977604 .9996060 ..9999555- .9999976 .0000000 .43 .44 .9928768 .9983290 .•9997169 .9999692 .9999984 .0000000 .44 .45 .9945269 .9987627 .9997981 .9999788 .9999989 .0000000 .45 .46 .9958272 .9990908 .9998571 .9999856 .9999993 .0000000 • 46 • 47 .9968437 .9993373 .9998997 .9999903 .9999995, .0000000 .47 .48 .9976319 .9995209 .9999301 .9999935- .9999997 .0000000 .48 .49 .9982381 .9996565- .9999518 .9999957 .9999998 .0000000 .49 • 50 .9987003 .9997559 .9999670 .9999971 .9999999 .0000001 .50 243 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q ii-s p n=24 r-23 n-24 r=22 n-=24 r=21 n=24 r=20 n=24 r=19 n=24- r =18 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000600 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000- .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0900000 .0000000 .12 • 13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0006000 .14 .15 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000600 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .23 .24 .QOOOOOO .0000000 .0000000 .0000000 .0000000 .0000002 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000002 .0000013 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000003 .0000024 .28 .29 .0000000 .0000000 .0000000 .0000001 .0000005, .000004-1 .29 .30 .0000000 .0000000 .0000000 .0000001 .0000009 .0000071 .50 .31 .0000000 .0000000 .0000000 .0000002 .0000016 .0000118 .31 .32 .0000000 .0000000 .0000000 .0000003 .0000028 .0000192 .32 • 33 .0000000 .0000000 .0000001 .000000$ .0000046 .0000309 .33 .34 .0000000 .0000000 .0000001 .0000010 .0000076 •0000436 .34 • 35 .0000000 .0000000 .0000002 .0000016 .0000123 .0000754 .35 .36 .0000000 .0000000 .0000003 .0000027 .0000196 .0001150, .36 •37 .0000000 .0000000 .0000005- .000004-3 .0000307 .0001728 .37 .38 .0000000 .0000001 .0000008 .0000070 .0000474 .0002560 .38 • 39 .0000000 .0000001 .0000013 .0000110 .0000720 .0003742 .39 .40 .0000000 .0000002 .0000021 .0000172 .0001081 .0005396 .40 .41 .0000000 .0000003 .0000034 .0000266 .0001601 .0007686 .41 .42 .0000000 .0000005, .0000053 .0000404 .0002342 .0010816 ; 42 .43 .0000001 .0000008 .0000084 .0000607 .0003385, .0015046 .43 .44 .0000001 .0000013 .0000129 .0000902 .0004837 .0020697 .44 • 45 .0000001 .0000001 .0000197 .0001324 .0006836 .0028168 .45 .46 .0000002 .0000033 .0000297 .0001923 .0009558 .0037939 .46 .47 .48 .0000004 .0000006 .0000051 .0000079 .0000443 .0000654 .0002763 .0003929 .0013226 .0018121 .0050590 . 0066806 .47 .48 .49 .0000010 .0000119 .0000957 .0005534 ..0024589 .0087392 .49 . 50 .0000015- .0000179 .0001386 .0007719 .0033054 .0113279 .50 244 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 n-s q p n-24 r-17 n-24 r-16 n=24 r-15 n-24 r-14 n-24 r=l3 n=24 r-12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000060 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 . 0000000 . .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 • 05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 • 07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000003 .0000024 .11 .12 .0000000 .0000000 .0000000 .0000001 .0000007 .0000059 .12 .13 .0000000 .OOOOOOO .0000000 .0000002 .0000018 .0000137 .13 .14 .0000000 .0000000 .0000001 .0000005, .0000043 .0000294 .14 • 15 .0000000 .0000000 .0000001 .0000013 .0000094 .0000593 .15 .16 .0000000 .0000000 .0000004 .0000028 .0000193 .0001133 .16 .17 .0000000 .0000001 .0000008 .0000059 .0000378 .0002062 .17 .18 .ooooooo .0000002 .0000017 .0000118 .0000704 .0003595- .18 .19 .0000000 .0000004 .0000034 .0000225- .0001258 .0006033 .19 .20 .0000001 .0000009 .0000067 .0000412 .0002168 .0009780 .20 .21 .0000002 .0000018 .0000125- .0000727 .0003611 .0015366 .21 .22 .0000005- .0000035- .0000226 .0001243 .0005833 .0023463 .22 .23 .0000009 .0000065- .0000396 .0002062 .0009160 .0034903 .23 .24 .0000017 .0000116 .0000674 .0003327 .0014016 .0050688 .24 .25' .0000031 .0000202 .0001117 .0005231 .0020940 .0071997 .25 .26 .0000055- .0000343 .0001803 .0008032 .0030599 .0100181 .26 .27 .0000096 .0000569 .0002843 .0012066 .0043801 .0136756 .27 .28 .0000163 .0000921 .0004387 .0017755- .0061505, .0183381 .28 .29 .0000270 .0001458 .0006631 .0025629 .0084824 .0241827 .29 .30 .0000439 .0002264 .0009835- .0036333 .0115023 .0313937 .30 .31 .0000699 .0003448 .0014325- .0050640 .0153515, .0401578 .31 .32 .0001093 .0005157 .0020513 .0069460 .0201838 .0506585- .32 .33 .0001678 .0007585, .0028907 .0093842 .0261635- .0630694 .33 .34 .0002534 .0010978 .0040120 .0124976 .0334618 .0775483 .34 .35 .0003765, .0015649 .0054885, .0164185, .0422531 .0942298 .35 • 36 .0005511 .0021987 .0074059 .0212916 .0527098 .1132190 .36 .37 .0007952 .0030469 .0098630 .0272716 .0649973 .1345861 .37 .38 .0011316 .0041671 .0129720 .0345207 .0792678 .1583603 .38 .39 .0015893 .0056279 .0168580 .0432053 .0956544 .1845264 .39 .40 .0022041 .0075098 .0216581 .0534917 .1142651 .2130218 .40 .41 .0030202 .0099055, .0275200 .0655414 .1351771 .2437352 .41 .42 .0040907 .0129211 .0345998 .0795058 .1584315, .2765068 .42 .43 .0054792 .0166751 .0430593 .0955208 .1840289 .3111307 .43 .44 .0072603 .0212986 .0530619 .1137009 .2119260 .3473577 .44 .45 .009521-2 .0269339 .0647690 .1341334 .2420335- .3849012 .45 .46 .0123612 .0337330 .0783350, .1568733 .2742152 .4234433 .46 .47 .0158933 .0418553 .0939020 .1819386 .3082889 .4626424 .47 .48 .0202428 .0514642 .1115943 .2093056 .3440288 .5021415, .48 .49 .0255478 .0627239 .1315124 .2389067 .3811693 .5415776 .49 .50 .0319573 .0757948 .1537281 .2706281 .4194099 .5805901 .50 245 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V 8 p n-24 rail n-24 r=10 n=24 r= 9 n=?4 r- 8 n=24 r- 7 n-24 r- 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000003 .OOOOO63 .02 .03 .O0OOOOO .0000000 .0000000 .0000003 .0000048 .0000615, .03 .04 .0000000 .0000000 .0000002 .0000027 .0000310 .0002954 .04 • 05 .0000000 .0000001 .0000013 .0000139 .0001270 .0009624 .05 .06 .ooooooo .0000005, .0000058 .0000517 .0003901 .0024518 .06 • 07 .0000002 .0000022 .0000200 .0001527 .0009828 .0052714 • 07 .08 .0000008 .0000074 .0000576 .0003826 .0021415- .0100074 .08 • 09 .0000026 .0000208 .0001439 .0008440 .0041753 .0172741 .09 .10 .0000072 .0000521 .0003213 .0016841 .0074561 .0276583 .10 .11 .0000180 .0001175, .0006544 .0030975- .0123997 .0416687 .11 .12 .0000411 .0002439 .0012355- .0053256 .0194406 .0596945, .12 .13 .0000869 .0004717 .OO21885- .0086513 .0290047 .0819758 .13 .14 .0001717 .0008584 .0036708 .OI33885, .0414801 .1085879 .14 .15 .0005204 .0014826 .0058735- .0198693 .0571915, .1394386 .15 • 16 .0005685- .0024463 .0090185- .0284271 .0763777 .1742769 .16 .17 .0009651 .OO38766 .0133535 .0393792 .0991758 .2127112 .17 .18 .0015752 .0059269 .0191430 .0530092 .1256114 .2542338 .18 .19 .0024820 .OO8775O, .0266605, .0695504 .1555957 .2982497 .19 .20 .0037884 .0126211 .0361750- .0891713 •.1889289 .3441076 .20 .21 .0056182 .0176826 .0479594 .III965O- .2253099 .3911294 .21 .22 .0081159 .0241885- .0621782 .1379418 .2643496 .4386390 .22 .23 .0114456 .0323714 .0790754 .1670262 .3055881 .4859863- .23 .24 .0157882 .0424590 .0987642 .1990577 -.3485148 .5325683 .24 .25 .0213382 .0546649 .1213183 .2337958 .3925877 .5778448 .25 .26 .0282986 .0691787 .1467460 .2709284 •.4372541 .6213496 .26 .27 .0368746 .0861570 .1749870 .3100827 .4819691 .6626974 • 2 I .28 .0472669 .1057149 .2059114 .3508386 .5262126 .7015866 .28 .29 .0596645, .1279190 .2393228 .3927432 .5695035- .7377982 .29 .30 .0742365- .1527816 .2749630 .4353260 .6114109 .7711916 .30 • 31 .0911245- .1802575- .3125195 .4781133 .6515628 .8016992 .31 . 32 .1104356 .2102421 .5516547 .5206429 .689C512 .8293178 .32 . 33 .1322359 .2425728 .3919178 .5624765- .725'I3 , I5, .8541001 .33 .34 .1565450, .2770315, .4329553 .6032103 .7587374 .8761450, .34 • 35 .1833326 .3135501 .4743241 .6424845- .7894482 .8955886 .35 • 36 .2125162 .3512170 .5156031 .6799892 .8175149 .9125943 .36 *37 .2439605, .3902857 .5563846 .7154692 ,8429393 .92734-51 .37 .38 .2774793 .4301845, .5962850- .7487258 .8657702 .9400352 .38 .39 .3128387 .4705264 .6349530 .7796168 .8860963 .9508638 .39 .40 .5497619 .5109198 .6720777 .8080548 .•9040385, .9600291 .40 .41 .3879562 .5509787 .7073936 .8340037 .9197426 .9677239 .41 .42 .'4270204 .5903328 .7406839 .8574745- .9333720 .9741317 .42 .43 .‘4666541 .6286361 .7717830 .8785190 .9451012 .9794246 .43 .44 .5064662 .6655747 .8005759 .8972244 .9551102 .9837607 .44 .45 l. /• .5460853 .7008735 .8269968 .9137067 .9635790 .9872838 .45 .46 .5851488 .7542995- .8510261 .9281037 .9706837 .9901224 • 46 • 47 l« ft .6233115, .7656675 .8726865- .9405697 .9765928 .9923902 .47 .48 .6602542 .7948382 .8920378 .9512688 .9814650- .9941865, .48 • 49 .6956904 .8217214 .9091715, .9603700 .9854468 .9955970 .49 • 50 .7293719 .8462719 .9242052 .9680427 .9886721 .9966946 .50 246 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=24 r= 5 -=r II Jh -3- CJ II n=24 r= 3 n=24 r- 2 n=24 r= 1 n=25 r-24 p .01 .0000036 .0000905, .0017294 .0238544 .2143219 .0000000 .01 .02 .0000990 .0012340 .0118277 .0826130 .3842197 .0000000 .02 .03 .0006406 .0053210 .0341468 .1612422 .5185828 .0000000 .03 .04 .0022994 .0143230 .0692880 .2491735, .6245868 .0000000 .04 .03 .0059745j .0297825- .1159446 .3391827 .7080110 .0000000 .05 .06 .0126522 .0526036 .1718236 .4265209 .7734999 .0000000 .06 .07 .0232641 .O83O255- .2342585- .5082455, .8247771 .0000000 .07 .08 .0385734 .1207004 .3005978 .5827096 .8648214 .0000000 .08 • 09 .0590984 .1648210 .3684348 .6491751 .8960096 .0000000 .09 .10 .0850749 .2142622 .4357263 .7075230 .9202336 .0000000 .10 .11 .1164518 .2677176 .5008371 .7580393 .9389957 .0000000 .11 .12 .1529140 .3238165- .5625373 .8012582 .9534860 .0000000 .12 .13 .1939228 .3812187 .6199695- .8378505- .9646441 .0000000 .13 .14 .2387667 .4386843 .6726015- .8685451 .9732106 .0000000 .14 .15 .2866175, .4951210 .7201724 .8940758 .9797673 .0000000 .15 .16 .3365835, .5496109 .7626383 .9151466 .9847699 .0000000 .16 .17 .3877597 .6014217 .8001214 .9324108 .9885745, .0000000 .17 .18 .4392695- .6500046 .8328647 .9464596 .9914585, .0000000 .18 .19 .4902992 .6949835, .8611934 .9578178 .9936373 .0000000 .19 .20 .5401227 .7361378 .8854826 .9669434 .9952776 .0000000 .20 .21 .5881180 .7733810 .9061319 .9742314 .9965082 ,0000000 .21 .22 .6337765- .8067392 . 9235^52- .9800176 .9974280 .0000000 .22 .23 '.6767048 .8363279 .9381165, .9845852 .9981130 .0000000 .23 .24 .7166219 .8623310" .9502190 .9881707 .9986211 .0000000 .24 .25 -.7533516 .8849816 .9601988 .9909695- .9989966 .0000000 .25 .26 .7868119 ’.9045448 .9683706 .9931422 .9992730 .0000000 .26 .27 '.8170035- .9213029 .9750162 .9948196 .9994755- .0000000 .27 .28 .8439956 .9355443 .9803844 .9961076 .9996233 .0000000 .28 .29 .8679135- .9475530 .9846920 .9970910 .9997307 .0000000 .29 .30 .8889248- .9576025- .9881259 .9978379 .9998084 .0000000 .30 .31 ;907228o 19659497 .9908455- .9984018 .9998644 .0000000 .31 .32 .9230414- 19728321 .9929854 .9988253 .9999045- .0000000 .32 • 33 .9365938 I9784656 .9946584 .9991416 .9999330 .0000000 .33 .34 19481163 .9830435, .9959578 .9993763 .9999533 .0000000 .34 .35 .9578364 .9867371 .9969605- .9995495, .9999676 ,0000000 .35 • 36 .9659723 .9896958 ,9977292' .9996766 .9999777 .0000000 .36 .37 .9727297 .9920488 ,9983145, .9997693 .9999847 .0000000 .37 .38 .•9782991 .9939063 ,9987573 ,9998365- .9999896 .0000000 .38 .39 .9828542 .9953632 ,9990900 .9998848 .9999930 .0000000 .39 .4o .9865509 .9964966 .9993582 .9999194 .9999953 .0000000 .40 .41 .9895279 .9973720 .9995221 .9999440 .9999968 .0000000 .41 .42 .9919067 .9980433 .9996574 .9999614 .9999979 .0000000 .42 .43 .‘9937926 .9985540 .9997562 .9999736 .9999986 .0000000 .43 .44 .9952758 .9989397 .9998279 .9999820 .9999991 .0000000 .44 .45 .9964330 .9992286 .9998794 .9999879 .9999994 .0000001 .45 .46 ,9973285- .9994433 .9999162 .9999919 .9999996 .0000001 .46 .47 .9980157 .9996016 .9999422 .9999946 .9999998 .0000002 .47 .48 .9985386 .9997173 .9999605, .9999965- .9999998 .0000003 .48 .49 .9989331 .9998012 .9999755 .9999977 .9999999 .0000005- .49 • 50 .9992281 .9998614 .9999821 .9999985, .9999999 .0000008 .50 832939 0 - 50 - 17 247 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n =25 r =23 n=25 r =-22 n=25 r =21 n=25 r =20 n =25 r -19 n=25 r=l 8 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 . 0000000 - .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 •.0000000 .19 .20 .0000000 .0000000 .0000000 .Ooooooo .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000002 .0000020 • 26 .27 .0000000 .0000000 .0000000 .0000001 .0000005- .0000036 •27 .28 .0000000 . 0000000 ' .0000000 .0000001 .0000009 .0000063 .28 .29 .0000000 .0000000 .0000000 .0000002 .0000016 .0000108 .29 .30 .0000000 .0000000 .0000000 .0000003 .0000028 .0000181 .30 • 31 .0000000 .0000000 .0000001 .0000006 .0000048 .0000298 .31 • 32 .0000000 .0000000 .0000001 .0000011 .0000080 .0000480 .32 • 33 .0000000 .0000000 .0000002 .0000019 .0000133 .0000760 .33 .34 .0000000 .0000000 .0000004 .0000032 .0000216 .0001182 .34 • 35 .0000000 .0000001 .0000007 .0000054 .000034*! .0001808 .35 .36 .0000000 .0000001 .0000011 .0000088 .0000540 .0002720 .36 • 37 .0000000 .0000002 .0000019 .0000141 .0000833 .0004031 .37 .38 .0000000 .0000003 .0000031 .0000223 .0001267 .0005887 .38 • 3'9 .0000000 .0000006 .0000051 .0000348 .0001899 .0008480 .39 .40 .0000001 .0000010 .0000082 .0000536 .0002807 .0012054 .40 .41 .0000001 .0000016 .0000129 .0000813 .0004096 .0016918 .41 .42 .0000002 . 0000025 , .0000201 .0001218 .0005901 .002345*! .42 .43 .0000004 .0000041 .0000309 .0001802 .0008399 .0032136 .43 .44 .0000006 .‘0000064 .0000469 .0002633 .0011816 .0043536 .44 .45 .0000010 .0000100 .0000704 .0003804 .0016435, .0058338 .45 .46 .0000016 .0000154 . 0001045 - .0005435- .0022613 .0077349 .46 • 47 h n .0000026 .0000235, .0001533 .0007680 .0030787 .oici 511 .47 .48 .0000041 .0000355- .0002226 .0010741 .0041490 .0131904 .48 • 49 .0000065 .0000530 .0003200 .0014871 .0055362 .0169754 .49 • 50 .0000097 .0000783 .0004553 .0020387 .0073166 .0216426 .50 248 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ’ 8 p n-25 r =17 n = 25 r*l6 n-25 r-15 n= 25 r=l4 n=25 r =15 11=25 I* =12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .•ooooooo .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .•ooooooo .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooo .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .•0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005- .09 .10 .0000000 .0000000 .0000000 .0000000 .0000002 .•0000015- .10 .11 .0000000 .0000000 .0000000 .0000001 .0000005- .0000041 .11 .12 .0000000 .0000000 .0000000 .0000002 .0000014 .0000102 .12 .13 .0000000 .0000000 .0000000 .0000004 .0000054 .0000252 .13 .14 .0000000 .0000000 .0000001 .0000011 .0000078 .0000495 .14 .15 .0000000 .0000000 .0000005 .0000025- .0000169 .0000985- .15 .16 .0000000 .0000001 .0000007 .0000055- .0000544 .0001861 .16 .17 .0000000 .0000002 .0000017 .0000115 .0000664 .0005352 .17 .18 .0000001 .0000005- .0000055- .0000225 .0001224 .0005783 .18 .19 -.0000001 .0000010 .0000070 .0000421 .0002166 .0009602 .19 .20 .0000005 .0000021 .0000156 .0000765 .0005690 .0015401 .20 .21 .0000006 .0000041 .0000251 .0001555 .0006080 .0023937 .21 .22 .0000011 .0000077 .0000450- .0002255 .0009712 .0036156 .22 .23 .0000022 .0000141 .0000779 .0005695- .0015081 .•0053200 .23 .24 .0000041 .0000250- .0001511 .0005892 .0022818 .0076414 .24 .25 .0000074 .0000451 .0002145, .0009158 .0055704 .0107343 .25 • 26 .0000150 .0000725 :0005422 .0015900 .0048691 .0147710 • 26 .27 .0000225 .0001185 .0005555 .0020654 .0068899 .0199393 •27 .28 .0000575- .0001891 .0008150 .0050005- .0095650 .•0264382 *28 .29 .0000615- .0002959 .0012141 .0042795, .0150555- .0344724 .29 .30 .0000986 .0004555. .0017784 .0059940 .0174697 .0442465- .30 . 3i .0001551 .0006820 .0025582 .0082551 .0250415- .0559575- .31 • 32 .0002595 .0010071 .0056176 .0111821 .0299557 .0697871 .32 • 33 .0005627 .0014621 .0050555, .0149215 .0585424 .0858944 .33 .34 .0005405- .0020886 .0068971 .0196254 .0484512 .•1044072 .34 • 35 .0007925- .0029582 .0095140 .0254606 .0604449 .•1254158 .35 • 36 .0011445 .0040755 .0124047 .0526022 .0744952 .•1489660 .36 .37 .0016285 .0055688 .0165042 .0412501 .0907452 .1750546 .37 .38 .0022851 .0075150 .0211605- .0515246 .1095229 .2036255, .38 .39 .0051645 .0100076 .0271554 .0656604 .1505145- .2345682 .39 .40 .0045254 .0151691 .0545915, .0778011 .1537678 .2677178 .40 .4l .0058452 .0171275- .0451088 .0940920 .1796859 .3028576 .41 .42 .0077995- .0220262 .0554604 .1126546 .2080252 .•3397226 .42 .43 .0102954 .0280205 .0656177 .1355795 .2586827 <•3780057 .43 .44 .0154572 .0552744 .0797450 .1569199 .2715160 .4173654 .44 .45 .0175569 .0459597 .0959850 .1826884 .5065240 . 4.574341 .45 .46 *0221925 .0542500- -.1144627 .2108506 .5428601 .4978278 .46 .47 .0280954 .0665175 .1552792 .2415252 .5808551 .5381569 .47 .48 .0552291 .0805266 .1584957 .2759728 .4199229 .5780356 .48 .49 . 04-57641 .0964505 .1841556 .5086154 .4597695 .6170928 .49 • 50 .0558761 .1147615- .2121781 .5450190 .■5000000 .6549810 .50 249 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V s p n=25 r =11 n=25 r=10 n=25 r= 9 n=25 pa 8 n=25 r- 7 n=25 r= 6 P .01 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000001 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000004 .0000082 .02 .03 ,0000000 .0000000 .0000000 .0000004 .0000065, .0000789 .03 .04 .0000000 .0000000 .0000003 .0000038 .0000416 .0003756 .04 .03 .0000000 .0000002 .0000019 .0000196 .0001688 .0012130 • 05 .06 .0000001 .0000009 .0000085, .0000720 .0005138 .0030639 .06 .07 .0000003 .0000035- .0000293 .0002108 .0012830 .0065309 • 07 .08 .0000013 .0000114 .OOOO836 .0005233 .0027707 .0122927 .08 .09 .0000042 .0000319 .0002069 .0011439 .0053542 .0210383 • 09 .10 .0000117 .0000790 .0004575, .0022613 .0094764 .0333999 .10 .11 .0000290 .0001766 .0009231 .0041207 .0156193 .0498943 .11 .12 .0000655- .0003629 .0017263 .0070194 .0242711 .0708809 .12 .13 .0001369 .0006949 .0030286 .0112972 .0358909 .0965289 .13 .14 .0002678 ,0012522 .0050313 .0173214 .0508752 .1268129 .14 .15 .0004947 .0021413 .0079729 .0254676 .0695286 .1515154 .15 • 16 .0008689 .0034978 .0121239 .0350992 .0920416 .2002460 .16 .17 .0014601 .0054877 .0177777 .0495446 .1184769 .2424695- • 17 .18 .0023585, .0083058 .0252389 .0660776 .1487634 .2875402 .‘18 .19 .0036777 .0121733 .0348G96 .0858990 .1826999 .3347391 .19 .20 ,0055549 .0173319 .0467742 .1091228 .2199647 .3833106 .20 .21 .0081517 .0240365, .0613848 .1357674 .2601320 .4324970 .21 .22 .0116519 .0325462 .0788462 .1657515, .3026932 .4815692 .22 .23 .0162585-. .04-31133 .0993041 .1988955- .3470797 .5298516 .23 .24 .0221892 .0559723 .1228346 .2349274 .3926876 .5767412 .24 .25 .0296899 .0713283 .1494377 .2734938 .4389019 .6217215- .25 .26 .0389274 .0893462 .1790335- .3141731 .4851189 .6643698 • 26 .27 .0501808 .1101411 .2114628 .3564920 .5307657 .7043601 •27 .28 .0636323 -1337699 .2464910 .3999433 .5753173 .7414612 .28 .29 .0794583 .1602261 .2838148 .4440037 .6183089 .7755316 .29 .30 .0978000 .1894360 .3270719 .4881515- .6593451 .8065116 .30 .31 .1187557 .2212587 .3638535- .5318827 .6981051 .8344131 .31 .32 ,1423737 .2554877 .4057173 .5747256 .7343445, .8593093 .32 • 33 .1686471 .2918566 .4482021 .6162526 .7678942 .8813230 .33 .34 .1975104 .3300456 .4908420 .6560895, .7986560 .9006153 .34 • 35 .2288388 ,3696910 .5331803 .6939218 .8265973 .9173753 .35 • 36 .2624485- .4103960 .5747821 .7294985- .8517435- .9318104 .36 .37 .2981008 .4517423 .6152459 .7626331 .8741694 .9441374 .37 .38 .5555075 ,4933027 .6542125- .7932027 .8939909 .9545755- .38 .39 .5745569 ,5346528 .6913719 .8211438 .9113556 .9633400 .39 .40 .4142250, ,5753830 .7264685, .8464483 .9264347 .9706378 .40 .41 .4547836 ,6151088 .75930-37 .8691567 .9394149 .9766635, .41 • 42 .4956II6 ,6534803 .7897359 .8893514 .9504911 .9815972 .42 .43 .5565065 .6901893 .8176795- .9071493 .9598603 .9856028 .43 .44 .5764759 .7249752 .8431012 .9226942 .9677164 .9888274 .44 .45 ,6157599 .7576288 .8*660162 .9361492 .9742462 .9914009 .45 .46 .6537581 .7879937 .8864818 .9476905, .9796255- .9934372 .46 .47 .6902187 .8119663 .9045916 .9575006 .9840176 .9950342 .47 .48 .7248545, .8414940 .9204687 .9657629 .9875713 .9962755, .48 • 49 .7574456 .8645720 .9342588 .9726577 .9904204 .9972317 .49 • 50 .7878219 .8852385, .9461239 .9783574 .9926834 .9979613 .50 250 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-8 p I nc25 r* 5 .. -"■■■ n=25 r- 4 n=25 r- 3 n=25 r= 2 n=25 r- 1 n=26 r-25 p .01 *0000045- .0001069 .0019507 .0257591 .2221786 .0000000 .01 .02 .0001217 .0014459 .0132434 .0886451 .3965353 .0000000 .02 .03 .0007810 .0061858 .0379596 .1719624 .5330253 .0000000 .03 .04 .0027803 .0165216 .0764834 .2641900 .6396033 .0000000 .04 .05 .0071649 .0340906 .1271065- .3576241 .7226104 .0000000 .05 .06 .0150493 .0597568 .1871054 .4473396 .7870899 .0000000 .06 .07 .0274474 .0936118 .2534376 .5304027 .8370427 .0000000 .07 .08 .0451'05, .1350922 .3231668 .6052786 .8756357 .0000000 .08 • 09 .0686135- .1631462 .3937015- .6713902 .9953687 .0000000 .09 .10 .0979936 .2364086 .4629060 .7287941 .9282102 .0000000 .10 .11 .1330910 .2933607 .5291294 .7779445- .9457062 .0000000 .11 .12 .1734223 .3524630 .5911838 .8195255- .9590676 .0000000 .12 .13 .2182712 .4122563 .6482940 .8543336 .9692404 .0000000 .13 .14 .2667552 .4714327 .7000336 .8831983 .9769611 .0000000 .14 .15 .5178930 . 5288787 .7462579 .9069295- .9828022 .0000000 .15 .16 .3706679 . 5836953 .7870396 .9262863 .9872067 .0000000 .16 .17 .4240822 .6352006 .8226106 .9419586 .9905169 .0000000 .17 .18 .4772018 .6829194 .8533118 .9.545594 .9*929960 .0000000 .18 ,19 .5291892 .7285634 .8795520 .9646235- .9948462 .0000000 .19 .20 .5793257 .7660067 .9017748 .9726103 .9962221 .0000000 .20 .21 .6270232 .8012587 .9204328 .9789095“ .9972415- .0000000 .21 .22 .6718283 .8324365, .9359691 .9838479 .9979938 .0000000 .22 .23 .7134181 .8597393 .9488043 .9876966 .9985470 .0000000 .23 .24 .7515921 .8834241 .9593274 .9906788 .9989521 .0000000 .24 .25 .7862591 .9037859 .9678915- .9929763 .9992475- .0000000 .25 • 26 .8174225- .9211395- .9748112 .9947362 .9994620 .0000000 .26 .27 .8451643 .9358055, .9803632 .9960767 .9996171 .0000000 .27 .28 .8696292 .9480995, .9847869 .9970920 .9997288 .0000000 r Q • C.O .29 .8910089 .9583233 .9882877 .9978565, .9998088 .0000000 .29 .30 .9095281 .9667595- .9910395- .9984290 .9998659 .0000000 .30 .31 .9254317 .9736674 .9931880 .9988552 .9999064 .0000000 .31 .32 .9389744 .9792812 .9948542 .9991707 .9999350, .0000000 .32 . 33 .9504115- .9838092 .9961378 .9994027 .9999551 .0000000 .33 .34 .9599916 .9874344 .9971201 .9995725- .9999692 .0000000 .34 .35 .9679516 .9903153 .9978667 .9996959 .9999790 .0000000 .35 • 36 .9745127 .9925878 .9984303 .9997850, .9999857 .0000000 .36 .37 .9798778 .9943671 .9988528 .9998490 •9999904 .0000000 .37 .38 .9842300 .9957500- .9991674 .9998947 .9999935, .0000000 .38 .39 .9877327 .9968167 .9994000 .9999270 .9999957 .0000000 .39 .4o .9905292 .9976332 .9995707 .9999498 .9999972 .0000000 .40 .41 .9927440 .9982536 .9996951 .9999657 .9999981 .0000000 .41 .42 .9944841 .9987212 .9997851 .9999767 .9999988 .0000000 .42 .43 .9958400 .9990710 .9998497 •9999843 .9999992 .0000000 .43 .44 .9968879 .9993305- .9998957 .9999895, .9999995- .0000000 .44 .45 .9976910 .9995215- . 999928.2 .9999931 .9999997 .0000000 .45 .46 .9983013 .9996508 .9999510 .9999954 .9999998 .0000001 .46 .47 .9987611 .9997617 .9999669 .9999970 .9999999 .0000001 .48 .9991044 .9998341 .9999778 .9999981 .9999999 .0000002 .48 .49 .9995585- .9998855- .9999852 .9999988 1.0000000 .0000002 .49 .50 .9995447 .9999217 .9999903 .9999992 1.0000000 .0000004 • 50 251 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ‘ 8 p n-26 r=24 n=26 r ~2> n=26 r=22 n=26 r=2l n=26 r=20 n=26 r=19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 • 05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .-0000001 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000004 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 • 26 .27 .0000000 .0000000 .0000000 .0000000 .0000002 .0000013 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000003 .0000024 • 28 .29 .0000000 .0000000 .0000000 .0000001 .0000006 .0000042 .29 .30 .0000000 .0000000 .0000000 .0000001 .0000011 .0000074 .30 .31 .0000000 .0000000 .0000000 .0000002 .0000019 .0000125, .31 .32 .0000000 .0000000 .0000000 .0000004 .0000033 .0000208 .32 .33 .0000000 .0000000 .0000001 .0000008 .0000057 .0000340 .33 .34 .0000000 .0000000 .0000002 .0000013 .0000095- .0000544 .34 .35 .0000000 .0000000 .0000003 .0000023 .0000155, .0000856 .35 • 36 .0000000 .0000000 .0000005- .0000039 .0000250, .0001325- .36 .37 .0000000 .0000001 .0000008 .0000064 .0000397 .0002016 .37 .38 .0000000 .0000001 .0000014 .0000104 .0000620 .0003023 .38 .39 .0000000 .0000003 .0000023 .0000167 .0000955 .0004466 .39 .40 .0000000 .0000004 .0000038 .0000263 .0001444 .0006506 .40 .41 .0000001 .0000007 .0000062 .0000409 .0002159 .0009353 .41 .42 .0000001 .0000012 .0000099 .0000628 .0003185, .0013274 .42 .43 .0000002 .0000020 .0000156 .0000951 .0004639 .0018606 .43 .44 .0000003 .0000032 .0000242 .0001421 .0006674 .0025773 .44 .45 .0000005' .0000051 .0000372 .0002099 .0009488 .0035291 .45 .46 .0000008 .0000080 .0000564 .0003064 .0013357 .0047792 .46 .47 .0000013 .0000124 .0000845, .0004422 .0018540 .0064027 .47 .48 .0000021 .0000192 .0001253 .0006313 .0025500, .0084889 .48 .49 .0000034 .0000292 .0001838 .0008918 .0034712 .0111414 .49 • 50 .0000052 .0000440 .0002668 .0012470 .0046777 .0144796 .50 ■■■ ■" ■■ -1 252 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-26 r=l8 n=26 r=17 n=26 r*l6 n-26 r=l5 n=26 r=l4 n=2b r=13 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 *0000000 .0000000 .0000000 .03 .04 .0000000 *0000000 *0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 ..0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 ..0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .08 .09 .0000000 .0000000 .,0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .00O0003 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000003 .0000024 .12 .13 .0000000 ,0000000 .0000000 .0000001 .0000008 .0000060 .13 .14 .0000000 ,0000000 .0000000 .0000003 .0000020 .0000136 .14 .15 .0000000 .0000000 .0000001 .0000006 .0Q00047 .0000291 .15 • 16 .0000000 ,0000000 .0000002 .0000015, .0000101 .0000586 .16 .17 .0000000 .0000001 .0000005- .0000033 .0000207 .0001121 .17 .18 .0000000 .0000001 ,0000010 .0000069 .0000403 .0002045- .18 .19 .0000000 ,0000005 ,0000022 .0000137 .0000753 .0003578 •19 .20 .0000001 .0000006 ,0000044 .0000261 .0001348 .0006032 .26 .21 ,0000002 .0000015 ,0000085- .0000479 .0002330 .0009830 .21 .22 .0000004 .0000026 .0000159 .0000847 .0003894 .0015529 .22 .23 .0000007 .0000049 .0000288 .0001450- .0006313 .0023848 .23 .24 .0000014 .0000091 .0000505- .0002410 .0009954 .0035681 .24 .25 .0000026 .0000165 .0000859 .0003898 .0015295- .0052114 .25 .26 .0000048 .0000284 .0001425- .0006147 .0022945, .0074436 .26 .27 .0000086 .0000482 .0002505 .0009464 .0033666 .0104133 .27 .28 .0000150, .0000799 .0005658 .001-4255- .0048380 .0142881 .28 .29 .0000255- .0001294 ..0005621 .0021030 .0068187 .0192522 -29 .30 .0000425 .0002051 .0008510 .0030431 .0094367 .0255028 .30 .31 .0000686 .0005184 .0012656 .0043237 .0128375, .0332454 .31 .32 •0001095 .0004850, ..0018425- .0060382 .0171832 . 0'426882 .32 • 33 .0001706 .0007255, ..0026407 .0082965, .0.226503 .0540346 .33 .34 .000261-8 .0010668 .0057255, ..0112247 .0294262 .0674762 .34 .35 .0005949 .0015455- ..0051697 ..0149653 .0.377051 .0831847 .35 .36 .0005860 .0021987 ..0070726 ..0196758 .0476829 .1013034 .36 .37 .0008564 .0050865 .0095409 .0255268 .0595507 .1219397 .37 .38 .0012554 ..0042717 ..0126990 .0326988 .0734880 .1451579 .38 .39 .0017514 .0058552 .0166867 .0413790 .0896555, .1709734 .39 .40 .0024558 .0078655- .0216581 .0517553 .1081877 .1993478 .40 .41 .0055959 .0104697 .0277798 .0640119 .1291855, .2301863 .41 •42 .0046561 .0157747 .0552285, .0783219 .1527094 .2633369 .42 .43 .0062579 .0179160 .0441872 .0948412 .1787738 .2985916 .43 .44 .0085504 .0250456 .0548406 .1137009 .2Q73422 .3356897 .44 .45 .0110192 .0295282 .0675702 .1350004 .2383244 .3743235, .45 .46 .0145855 .0569588 .0819478 .1588011 .2715750- .4141453 .46 .47 .0185849 .0460597 .0987294 .1851199 .3068938 .4547763 .47 .48 .0257690 .0568759 .1178478 .2139247 .3440288 .4958170 .48 • 49 .0501019 .0695705, .1394059 .2451307 .3826808 .5368578 .49 • 50 .0577595 .0845188 .1634698 .2785985, .4225095 .5774905, .50 253 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n=26 r=12 n=26 r =11 n=26 r=10 n-26 r= 9 n=26 r= 8 n=26 r- 7 P .01 .0000000 .0000060 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000006 .0000087 .03 .04 .0000000 .0000000 .0000000 .0000004 .0000053 .0000550^ .04 .03 .0000000 .0000000 .0000002 .0000028 .0000270 .0002210 .05 .06 .0000000 .0000001 .0000013 .0000123 .0000985- .0006668 .06 .07 .0000001 .0000006 .0000055 .0000420 .0002859 .0016503 .07 .08 .0000002 .0000021 .0000171 .0001188 .0007031 .0035325- .08 .09 .0000008 .0000067 .0000477 .0002913 .0015228 .OO67658 .09 .10 .0000025, .0000184 .0001168 .0006379 .0029828 .0118687 .10 .11 .0000068 .0Q0O452 .0002587 .6012748 .0053856 .0193896 .11 .12 .0000168 .0001012 .0005265, .6023615- .0090896 .0298643 .12 .13 .0000380 .0002094 .0009983 .6041036 .0144944 .0437739 .13 .14 .0000799 .0004056 .0017812 .0067519 .0220189 .0615065- .14 .15 .0001579 .0007417 .0030160 .6105971 .0320768 .0833266 .15 .16 .0002954 .0012896 .0048780 .0159599 .0450500- .1093543 .16 .17 .0005264 .0021448 .0075770 .0231781 .0612631 .1395556 .17 .18 .0008988 .0034290 .0113537 .0325899 .0809611 .1737433 .18 .19 .0014765, .0052918 •0164742 .6445166 .1042912 .2115874 .19 .20 .0023430 .0079103 .0232203 .6592440 .1312912 .2526339 .20 .21 .0036629 .0114875, .0318797 .0770051 .1618840 .2963287 .21 .22 .0053836 .0162486 .0427322 .0979654 .1958787 .3420460 .22 .23 .0078358 .0224351 .0560372 .1222101 .2329778 .3891172 .23 .24 .0111329 .0302971 .0720192 .1497369 .2727899 .4368605- .24 .25 .0154682 .0400845- .0908556 .1804517 .3148458 .4846068 .25 .26 .0210517 .0520363 .1126649 .2141697 .3586190 .5317241 • 26 .27 .0281045, .0663701 .1374979 .2506207 .4035459 .5776362 .27 .28 .0368525, .0832709 .1653318 .2894577 .4490480 .6218376 .28 .29 .0475183 .1028810 .1960668 .3302696 .4945522 .6639035- •29 .30 .0603126 .1252908 .2295268 .3725957 .5395095, .7034950, .30 .31 .0754249 .1505316 .2654630 .4159425, .5834116 .7403606 .31 .32 .0930148 .1785702 .3035612 .4598000 .6258037 .7743333 .32 • 33 .1132028 .2093062 .3434507 .5036588 .6662943 .8053257 .33 .34 .1360623 .2.425724 .3847164 .5470262 .7045621 .8333221 .34 .35 .1616138 .2781370 .4269123 . 5894398 .7403582 .8583696 .35 •36 .1898197 .3157096 .4695750- .6304800 .7735067 .8805676 .36 .37 .2205817 .3549482 .5122387 .6697792 .8039016 .9000576 .37 .38 .2537406 .3954696 .5544484 .7070288 .8315022 .9170130 .38 .39 .2890780 .4368601 .5957732 .7419829 .8563264 .9316295, .39 .40 .3263207 .4786882 .6358172 .7744604 .8784429 .9441160 .40 .41 .3651473 .5205169 .6742287 .8043434 .8979625, .9546868 .41 .42 .4051960 .5619165- .7107076 .8315744 .9150301 .9635557 .42 .43 .4460750- .6024760 .7450101 .8561515, .9298150, .9709296 .43 .44 . ‘’1873732 .6418145, .7769507 .8781221 .9425040 .9770052 .44 .45 .5286717 .6795899 .8064032 .8975761 .9532929 .9019658 .45 .46 .5695558 .7155065- .8332982 .9146378 .9623806 .9859789 .46 .47 .6096259 .7493201 .8576202 .9294588 .9699636 .9891954 .48 .6485087 .7808415- .8794018 .9422099 .9762310 .9917493 .48 • 49 .6858657 .8099375, .8987185, .9530742 .9813614 .9937579 .49 • 50 .7214015- .8365302 .9156812 .9622407 .9855204 .9953223 .50 254 BINOMIAL DISTRIBUTION Table E - Partial Sums n Z s-r V 8 p n=26 r= 6 n=26 r = 5 n=26 r= 4 n=26 r= 3 n-26 r- 2 n=26 r- 1 p .01 .0000002 .0000055, .0001254 .0021888 .0277233 .2299569 .01 .02 .0000104 .0001482 .0016818 .0147515- .0948029 .4o86o46 .02 .03 .0001000 .0009431 .0071390 .0419797 .1827943 .5470345, .03 .04 .0004718 .0033300 .0189200 .0839917 .2792066 .6540192 .04 .03 .0015106 .0085112 .0387414 .1386324 ,3758735- .7364799 .05 .06 .0037830 .0177317 .0673977 .2027195- .4677247 .7998645- .06 .07 .0079950, .0320789 .1047996 .2728251 .5518675, .8484497 • 07 .08 .0149208 .0523394 .1501382 •3457357 .6269071 .8855849 .08 .09 .0253201 .0789214 .2020962 .4186934 .6924483 .9138855, .09 .10 .0398593 .1118351 .2590584 .4894948 .7487357 .9353892 .10 .11 .0590464 .1507207 .3192953 .5564990 .7963983 .9516785, .11 .12 .0831858 .1949072 .3811095- .6185848 .8362706 .9639795, .12 .13 .1123554 .2434893 .4429412 .6750792 .8692715, .9732391 .13 .14 .1464048 .2954101 .5034368 .7256766 .8963251 .9801866 .14 .15 .1849720 .3495409 .5614856 .7703587 .9183104 .9853819 .15 .16 .2275135- .4047523 .6162304 .8093191 .9360336 .9892536 .16 .17 .2733436 .4599723 .6670603 .8428997 .9502135- .9921290 .17 .18 .3216793 .5142310 .7135900 .8715363 .9614780 .9942567 .18 .19 .3716846 .5666903 .7556312 .8957156 .9703658 .9958254 .19 .20 .4225136 .6166619 .7931603 .9159419 .9773326 .9969777 .20 .21 .4733475, .6636127 .8262853 .9327129 .9827592 .9978208 .21 .22 .5234262 .7071621 .8552137 .9465025- .9869600 .9984352 .22 .23 .5720719 .7470720 .8802242 .9577495, .9901922 .9988812 .23 .24 .6187054 .7832318 .9016409 .9668517 .9926644 .9992036 .24 .25 .6628559 .8156408 .9198123 .9741627 .9945441 .9994356 .25 .26 .7041635- .8443889 .9350941 .9799917 .9959649 .9996019 • 26 .27 .7423772 .8696374 .9478361 .9846058 .9970326 .9997205- •27 .28 .7773482 .8916009 .9583720 .9882323 .9978303 .9998047 .28 .29 .8090200 .9105301 .9670130 .9910627 i9984227 .9998643 -29 .30 .8374165, .9266975, .9740435- ,9932563 .9988601 .9999061 .30 .31 .8626289 .9403848 .9797187 .9949448 .9991811 .9999354 .31 • 32 .8848022 .9518726 .9842645, ,9962555- .9994153 ,9999558 .32 . 33 .9041222 .9614327 .9878777 .9972153 .9995850, .3999699 .33 .34 .9208032 .9693221 .9907275, ,9979539 .9997074 .9999797 .34 .35 .9350770 .9757789 .9929583 .9985069 .9997950- .9999863 .35 • 36 .9471832 .9810198 .9946911 .9989180 .9998573 .9999909 .36 • 37 .9573613 .9852389 .9960268 .9992214 .9999013 .9999939 .37 .38 .9658442 .9886076 .9970486 .9994438 .9999322 .9999960 .38 .3-9 .9728532 .9912754 .9978242 .9996055, .9999538 .9999974 .39 .40 .9785943 .9933708 .9984082 .9997223 .9999687 .9999983 .4o .41 .9832565, .9950029 .9988446 .9998060 .9999790 .9999989 .41 .42 .9870097 .9962637 .9991681 .9998656 .9999860 ,9999993 .42 .43 .9900048 .9972293 .9994058 .9999076 .9999907 .9999996 .43 .44 .9923740 .9979626 ..9995792 .9999370 .9999939 .9999997 .44 .45 .9942315- .9985147 .9997045, .9999574 .9999960 .9999998 .45 .46 .9956747 .9989267 .9997943 .9999715- .9999974 .9999999 .46 .47 .9967858 .9992314 .9 98581 .99QQ810 .9999984 .9999999 .47 .48 .9976334 .9994546 .9999030 .9999875, .9999990 1.0000000 .48 • 49 .9982738 .9996167 .9999344 .9999919 .9999994 1.0000000 .49 • 50 .9987530 .9997332 .9999560 .9999948 .9999996 1.0000000 .50 255 BINOMIAL DISTRIBUTION Table E - Partial Sums n 2 s-r V s p n=27 r =26 n=27 r =25 n=27 r =2 4 n=27 r =23 n-27 r =22 n =27 r=21 p .01 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .01 .02 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .02 .03 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .03 .04 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .04 .05 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .05 .06 .0000000 .ooo'oooo .0000000 .0000000 .OOOOOOO .OOOOOOO .06 .07 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .07 .08 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .08 .09 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .09 .10 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .10 .11 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .11 .12 .0000000 .ooOoooo .0000000 .0000000 .OOOOOOO .OOOOOOO .12 .13 .0000000 .OO0OOOO .0000000 .0000000 .OOOOOOO .OOOOOOO .13 .14 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .14 .15 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .15 .16 .0000000 .0000000 .0000000 .ooOoooo .OOOOOOO .OOOOOOO .16 .17 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .17 .18 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .18 .19 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .19 .20 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .20 .21 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .21 .22 .0000000 .oo'ooooo .0000000 .0000000 .OOOOOOO .OOOOOOO .22 .23 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .23 .24 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .24 .25 .0000000 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .25 .26 .0000000 .0000000 .0000000 . 0 O 00000 .OOOOOOO .OOOOOOO .26 .27 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .0000001 .27 .28 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .0000001 .28 .29 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .0000002 .29 .30 .0000000 .0000000 .0000000 .OOOOOOO .OOOOOOO .0000004 .30 .31 .0000000 .0000000 .0000000 .OOOOOOO .0000001 .0000008 .31 .32 .0000000 .0000000 .0000000 .OOOOOOO .0000002 .0000014 .32 • 33 .0000000 .0000000 .0000000 .OOOOOOO .0000003 .0000024 .33 .34 .0000000 .0000000 .0000000 .0000001 .0000006 .0000041 .34 •35 .0000000 .0000000 .0000000 .0000001 .0000010 .0000069 .35 • 36 .0000000 .0000000 .0000000 .0000002 .0000017 .0000115" .36 .37 .0000000 .0000000 .0000000 .0000004 .0000029 .0000187 .37 .38 .0000000 .0*000000 .0000001 .0000006 .0000048 .0000300 .38 • 3-9 .0000000 .0000000 .0000001 . Q000011 .0000079 .0000474 .39 .40 .0000000 .0000000 .0000002 .0000018 .0000128 .0000756 .40 .41 .0000000 .0000000 .0000003 .0000030 . 0000205 - .0001127 .41 .42 .0000000 .0000000 .0000006 .0000049 .0000321 .0001702 .42 .43 .0000000 .0000001 .0000009 .0000078 .0000498 .0002537 .43 .44 .0000000 .0000001 .0000016 .0000124 .0000761 .0003752 .44 .45 .0000000 .0000002 .0000026 .00001'95, .0001149 .0005424 .45 .46 .0000000 .0000004 .0000041 .0000303 .0001714 .0007790 .46 • 47 .0000000 .0000007 . 0000065 , .0000463 .0002527 .0011058 .47 .48 .0000001 .0000011 .0000103 .0000701 .0003682 .0015525 .48 .49 .0000001 .0000018 .0000160 .0001049 .0005307 .0021557 .49 • 50 .0000002 .0000028 .0000246 .0001554 .0007569 .0029623 .50 256 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r 8q n-s p n -27 r= 2 o n =27 r =19 n =27 r=18 n=27 r-17 n-27 r-16 n-27 r=l5 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .13 .14 .0000000 .0000000 .0000000 . 0*000000 .0000001 .0000005, .14 .15 .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000004 .0000029 .16 .17 .0000000 .0000000 .0000000 .0000001 .0000009 .0000063 .17 .18 .0000000 .0000000 .0000000 .0000003 .0000021 .0000129 .18 .19 .0000000 .0000000 .0000001 .0000006 .0000043 .0000254 .19 .20 .0000000 .0000000 .0000002 .0000014 .0000087 .0000479 .20 .21 .0000000 .0000000 .0000004 .0000028 .0000168 .0000867 .21 .22 .0000000 .0000001 .0000008 .0000055- .0000310 .0001517 .22 .23 .0000000 .0000002 .0000017 .0000104 .0000555, .0002569 .23 .24 .0000001 .0000005- .0000032 .0000190 .0000962 .0004221 .24 .25 .0000001 .0000009 .0000061 .0000337 .0001619 .0006748 .25 .26 .0000002 .0000018 .0000110 .0000581 .0002652 .0010514 .26 .27 .0000005- .0000033 .0000193 .0000974 .0004237 .0015999 •27 .28 .0000009 .0000059 .0000332 .0001594 .0006611 .0023810 .28 .29 .0000016 .0000104 .0000556 .0002549 . 001009 Q .0034706 .29 .30 .0000030 .0000178 .0000911 .0003989 .0015086 .0049612 .30 .31 .0000052 .0000299 .0001461 .0006114 .0022122 .0069630 .31 .32 .0000089 .0000491 .0002295- .0009194 .0031851 .0096046 .32 . 33 .0000150, .0000791 .0003558 .0013575, .0045071 .0130333 .33 .34 .0000247 .0001249 .0005555, .0019701 .0062739 .0174132 .34 .35 .0000401 .0001939 .0007969 .0028126 .0085982 .0229242 .35 .36 .0000637 .0002957 .0011666 .0039535 .0116098 .0297584 .36 .37 .0000996 .0004439 .0016815- .0054745, .0154557 .0381156 .37 .38 .0001535 .0006561 .0023879 .0074741 .0202990 .0481987 .38 . 3-9 .0002323 .0009554 .0033433 .0100661 .0263167 .0602068 .39 .40 .0003469 .0013719 .0046177 .0155815 .0336970 .0745287 .40 .41 .0005109 .0019433 .0062950- .0175669 .0426350- .0907331 .41 .42 .0007422 .0027170 .0084743 .0227855 .0533278 .1095647 .42 .43 . 0010645 - .0037515- .0112709 .0292126 .0659684 .1309322 .43 .44 .0015077 .0051174 .0148163 .0370554 .0807391 .1549030 .44 .43 .0021100 .0068996 .0192582 .0464471 .0978038 .1814962 .45 .46 .0029186 .0091980 .0247599 .0576429 .1173003 .2106771 .46 .47 .0039919 .0121284 .0314981 .0708144 .1393329 .2423536 .47 .48 .0054007 .0158233 .0396603 .0861424 .1639647 .2763747 .48 .49 .0072296 .0204320 .0494415, .1037899 .1912110 .3125302 .49 .50 .0095786 .0261195- .0610391 .1238943 .2210342 .3505540 .50 257 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r n-s q p n=27 t =14 ri-27 r-13 n=27 r-12 n-27 r=ll n=27 r=10 n=27 r= 9 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000006 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000004 .0000040 .05 .06 .0000000 .0000000 .0000000 .0000002 .0000020 .0000175- .06 .07 .0000000 .0000000 .0000001 .0000009 *0000078 .0000591 .07 .08 .0000000 .0000000 .0000004 .0000033 .0000253 .0001655, .08 .09 .0000000 .0000002 .0000013 .0000104 .0000696 .0004021 .09 .10 .0000001 .0000005, .0000041 .0000283 .0001689 .0008724 .10 .11 .0000002 .0000015, .0000110 .0000687 .0003705** .0017270 .11 .12 .0000006 .0000041 .0000269 .0001522 .0007467 .0031689 .12 .13 .0000015- .0000101 .0000603 .0003120 .0014019 .0054544 .13 .14 .0000036 .0000229 .0001255, .0005982 .0024771 .0088893 .14 .15 .0000083 .0000484 .0002455- .0010828 .0041532 .0138190 .15 .16 .0000179 .0000965, .0004544 .0018637 .0066511 .0206143 .16 .17 .0000362 .0001825, .0008015, .0030682 .0102291 .0296525, .17 .18 .0000699 .0003294 .0013542 .0048555- .0151762 •0412967 .18 .19 .0001289 .0005704 .0022014 .0074165- .0218022 .0558737 .19 .20 .0002285, .0009512 .0034565- .0109723 .0304251 .0736534 .20 .21 .0003905- .0015332 .0052587 .0157699 .0413560 .0948297 .21 .22 .0006454 .0023957 .0077739 .0220750, .0548835, .1195063 .22 .23 .0010346 .0036386 .0111937 .0301636 .0712570 .1476867 .23 .24 .0016129 .0053836 .0157323 .0403104 .0906715- .1792696 .24 .25 •.0024500- .0077756 .0216223 .0527773 .1132546 .2140502 .25 . 26 .0036333 .0109817 .0291077 .0677997 .1390562 .2517265, • 26 .27 .0052692 .0151899 .0384362 .0855746 .1680411 .2919105, • 2 z .28 .0074840 .0206061 .0498497 .1062479 .2000871 .3341430 .28 .29 .0104244 .0274493 .0635735- .1299049 .2349856 .3779115, .29 .30 0142565, .0359457 .0798060 .1565616 .2724475- .4226699 .30 . 3l .0191640 .0463211 .0987080 .1861604 .3121117 .4678579 .31 • 32 .0253448 .0587927 .1203926 .2185673 .3535576 .5129211 .32 *33 .0330071 .0735601 .1449169 .2535739 .3963193 .5573285, .33 .34 .0423632 .0907955- .1722757 .2909014 .4399017 .6005884 .34 .35 .0536230 .1106349 .2023969 .3302084 .4837969 .6422612 .35 .36 .0669863 .1331693 .2351401 .3711011 .5275008 .6819696 .36 *37 .0826346 .1584372 .2702973 .4131457 .5705287 .7194045- .37 .38 .1007226 .1864193 .3075976 .4558815, .6124289 .7543287 .38 .39 .1213695- .2170342 .3467130 .4988362 .6527950, •7865769 .39 .40 .1446518 .2501370 .3872677 .5415398 .6912745- .8160534 .40 .41 .1705958 .2855203 .4288488 .5835388 .7275758 .8427273 .41 .42 .1991729 .3229177 .4710186 .6244088 .7614717 .8666258 .42 .43 .2302954 .3620094 .5133274 .6637656 .7928009 .8878268 .43 .44 .2638151 .4024304 .5553274 .7012744 .8214661 .9064501 .44 .45 l, /• .2995240 .4437802 .5965849 .7366559 .8474310 .9226486 .45 .46 .3371573 .4856341 .6366931 .7696907 .8707144 .9365995- • 46 • 47 .3763986 .5275556 .6752822 .8002211 .8913843 .9484960 .47 .48 .4168872 .5691690 .7120284 .8281505- .9095497 .9585400 .48 • 49 .4582276 .6098717 .7466609 .8534402 .9253528 .9669349 .49 • 50 .5000000 .6494460 .7789658 .8761057 .9389609 .9738805, • 50 258 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V s p n*27 r= 8 n=27 r= 7 n=27 r= 6 n=27 r- 5 n-27 r- 4 n=27 r- 3 P .01 .0000000 .0000000 .0000002 .0000067 .0001460 .0024441 .01 .02 .0000000 .0000008 .0000132 .0001788 .0019432 .0163525- .02 .03 .0000009 .0000114 .0001253 .0011290 .0081842 .0462042 .03 .04 .0000073 .0000716 .0005861 .0039536 .0215229 .0918003 .04 .03 .0000367 .0002854 . 0018606 .0100227 .0437359 .1504944 .05 .06 .0001326 .OOO8537 .0046199 .0207117 ..0755170 .2186198 .06 .07 .0003814 .0020945- .0096809 .0371693 .1165614 ..2923581 .07 .08 .0009295- .0044436 .0179143 .0601633 .1657860 .3682294 .08 .09 .0019947 .0084356 .0301442 .0900071 .2215900 .4433314 .09 .10 .0038714 .0146678 .0470569 .1265574 .2821020 .5154189 .10 .11 .0069260 .0237518 .0691306 .1692639 .3453877 .5828880 .11 .12 .0115826 .0362629 .0965924 .2172515- .4096065- .6447071 .12 .13 .0183007 .0526895- .1294028 .2694180 .4731191 .7003242 .13 .14 .0275472 .0733923 .1672656 .3245338 .5345504 .7495674 .14 • 15 .0397642 .0985734 .2096574 .3813326 .5928166 .7925514 .15 .16 .0553387 .1282598 .2558717 .4385888' .6471246 .8295934 .16 .17 .0745728 .1622996 .3050705, .4951773 .6969530 .8611431 .17 • 18 .0976619 .2003718 .3563386 .5501156 .7420204 .8877258 .18 .19 .1246774 .2420059 .4087357 .6025891 .7822473 .9098991 .19 .20 .1555597 .2866098 ^4613433 .6519616 .8177167 .9282200 .20 .21 .1901174 .3335026 .5133032 .6977739 .8486351 .9432226 .21 .22 .2280355- .3819496 .563 o 4 o 1 .7397334 .8752972 .9554031 .22 .23 .2688899 .4311968 .6123219 .7776970 .8980550, .9652113 .23 .24 .3121668 .4805033 .6581917 .8116500- .9172915, .9730468 .24 .25 .3572861 .5291691 .7010521 .8416837 .9333999 .9792580 .25 • 26 .4036263 .5765584 .7406221 .8679723 .9467675, .9841447 • 26 .27 .4505503 .6221163 .7767375- .8907511 .9577639 .9879611 .27 .28 .4974291 .6653806 .8093390 .9102968 .9667329 .9909197 .28 .29 .5436641 .7059873 .8384579 .9269101 .9739874 .9931971 .29 .30 .5887052 .7436715- .8642008 .9409013 .9798073 .9949375- .30 .31 .6320658 .7782638 .8867332 .9525783 .9844388 .9962581 .31 .32 .6733331 .8096833 .9062647 .9622580 .9880952 .9972530 .32 • 33 .7121747 .8379285, .9230347 .9701595, .9909591 .9979973 .33 .34 .7483405, .8630657 .9372996 .9766000 .9931845, .9985501 .34 .35 .7816622 .8852172 .9493227 .9817917 .9949003 .9989577 .35 .36 .8120486 .9045492 .9593644 .9859414 .9962128 .9992561 .36 .37 .8394793 .9212600 .9676760 .9892304 .9972088 .9994730 .37 .38 .8639963 .9355689 .9744943 .9918152 .9979588 .9996294 .38 .39 .8856946 .9477067 .9800378 .9938294 .9985189 .9997413 .39 .4o .9047121 .9579073 .9845049 .9953858 .9989339 .9998209 .40 .41 .9212195, .9664004 .9880725, .9965780 .9992388 .9998770 .41 .42 .9354108 .9734064 .9908964 .9974835, .9994610 .9999162 .42 .43 .9474943 .9791319 .9931113 .9981652 .9996216 .9999433 .43 .44 1 .9576845, .9837675- .9948330 .9986739 .9997366 .9999620 .44 .45 .9661957 .9874854 .9961589 .9990501 .9998183 .9999748 •?§ .46 .9732358 .9904389 .9971706 .9993258 .9998758 .9999834 .46 .47 .9790025, .9927629 .9979352 .9995259 .9999159 .9999892 .47 .48 .9836798 .9945737 .9985076 .9996699 .9999436 .9999930 .48 • 49 .9874357 .9959707 .9989318 .9997724 .9999625, .9999955, .49 • 50 .9904214 .9970377 .9992431 .9998446 .9999754 .9999972 .50 259 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-a p n=27 r= 2 n=27 r= 1 n=28 r=27 n=28 r-26 n=28 r-25 n=28 r-2 4 p .01 .0297456 .2376573 .0000000 .0000000 .0000000 .0000000 .01 .02 .1010789 .4204325- .0000000 .0000000 .0000000 .0000000 .02 .03 .1957215** .5606235- .0000000 .0000003 .0000000 .0000000 .03 .04 .2941991 .6678584 .0000000 .0000000 .0000000 .0000000 .04 .05 .3939058 .7496559 .0000000 .0000000 .0000000 .0000000 .03 .06 .4876530 .8118726 .0000000 .0000000 .0000000 .0000000 .06 .07 .5726283 .8590583 .0000000 .0000000 .0000000 .0000000 .07 .08 .6476014 .8947381 .0000000 .0000000 .0000000 .0000000 .08 .09 .7123776 .9216358 .0000000 .0000000 .0000000 .0000000 .09 .10 .7674011 .9418503 .0000000 .0000000 .0000000 .0000000 .10 .11 .8134791 .9569939 .0000000 .0000000 .0000000 .0000000 .11 .12 .8515956 .9683020 .0000000 .0000000 .O'OOOOOO .0000000 .12 .13 .8827873 .9767180 .0000000 .0000000 .0000000 .0000000 .13 .14 .9080657 .9829604 .0000000 .0000000 .O'OOOOOO .0000000 .14 .15 .92837II .9875746 .0000000 .0000000 .0000000 .0000000 .15 .16 .9445488 .9909731 .0000000 .0000000 .O'OOOOOO .0000000 .16 .17 •9573391 .9934671 .0000000 .0000000 .0000000 .0000000 .17 .18 .9673782 .9952905, .0000000 .0000000 .0000000 .0000000 .18 .19 .9752031 .9966186 .0000000 .0000000 .0000000 .0000000 .19 .20 .9812616 .9975821 .0000000 .0000000 .0000000 .0000000 .20 .21 .9859221 .9982784 .0000000 .0000000 .0000000 .0000000 .21 .22 .9894845, .9987795- .0000000 .0000000 .0000000 .0000000 .22 .23 .9921907 .9991385, .0000000 .0000000 .0000000 .0000000 .23 .24 .9942338 .9993947 .0000000 .0000000 .0000000 .0000000 .24 .25 .9957669 .9995767 .0000000 .0000000 .0000000 .0000000 .25 .26 .9969105, .9997054 .0000000 .0000000 .0000000 .0000000 • 26 .27 .9977583 .9997960 .0000000 .0000000 .0000000 .0000000 .27 .28 .9983831 .9998594 .0000000 .0000000 .0000000 .0000000 .28 .29 .9988408 .9999036 .0000000 .0000000 .0000000 .0000000 .29 .30 .9991739 .9999343 .0000000 .0000000 .0000000 .0000000 .30 .31 .9994149 .9999554 .0000000 .0000000 .0000000 .0000000 .31 • 32 .9995882 .9999700 .0000000 .0000000 .0000000 .0000000 .32 . 33 .9997121 .9999799 .0000000 .0000000 .0000000 .0000000 .33 .34 .9998000 .9999866 .0000000 .0000000 .0000000 .0000000 .34 .35 .9998619 .9999911 .0000000 .0000000 .0000000 .0000000 .35 • 36 .9999054 .9999942 .0000000 .0000000 .0000000 .0000001 .36 .37 .9999356 .9999962 .0000000 .0000000 .0000000 .0000002 .37 .38 .9999565- .9999975, .0000000 .0000000 .0000000 .0000003 .38 .39 .9999708 .9999984 .0000000 .0000000 .0000000 .0000005- .39 .40 .9999806 .9999990 .0000000 .0000000 .0000001 .0000008 .40 .4l .9999872 .9999993 .0000000 .0000000 .0000002 .0000014 .41 .42 .9999916 .9999996 .0000000 .0000000 .0000003 .0000024 .42 .43 .9999945, .9999997 .0000000 .0000000 .0000005- .0000039 .43 .44 .9999965- .9999998 .0000000 .0000001 .0000008 .0000064 .44 .45 .9999977 .9999999 .0000000 .0000001 .0000013 .0000102 .45 .46 .9999986 .9999999 .0000000 .0000002 .0000021 .0000161 .46 • 47 .9999991 1.0000000 .0000000 .0000003 .0000034 .0000252 .47 .48 •9999994 1.0000000 .0000000 .00000c0 .0000055, .0000390 .48 • 49 .9999997 1.0000000 .0000001 .0000009 .0000087 .0000596 .49 • 50 .9999998 1.0000000 .0000001 .0000015, .0000137 .0000900 .50 260 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-a p I n=28 r =23 n=28 r=22 n=28 r=21 £=28 r =20 a=28 r=19 ti=28 r=l8 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 ,0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .13 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000002 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000003 .0000019 .22 .23 .0000000 .0000000 .0000000 .0000001 .0000006 .0000037 .23 .24 .0000000 .0000000 .0000000 .0000002 .0000011 .0000070 .24 .25 .0000000 .0000000 .0000000 .0000003 .0000022 .0000130 .25 • 26 .0000000 .0000000 .0000001 .0000006 .0000042 .0000232 • 26 .27 .0000000 .0000000 .0000002 .0000012 .0000076 .0000404 .27 .28 .0000000 .0000000 .0000003 .0000023 .0000136 .0000685, r Q • c , O .29 .0000000 .0000001 .0000006 .0000042 .0000235, .0001134 .29 .30 .0000000 .0000002 .0000012 .0000074 .0000398 .0001834 .30 .31 .0000000 .0000003 .0000021 .0000129 .0000659 .0002903 .31 .32 .0000001 .0000005, .0000038 .0000218 .0001068 .0004503 .32 .33 .0000001 .0000010 .0000065, .0000362 .0001697 .0006850, .33 .34 .0000002 .0000018 .0000111 .0000588 .0002645, .0010233 .34 .35 .0000004 .0000031 .0000185, .0000939 .0004049 .0015024 .35 .36 .0000007 .0000052 .0000303 .0001472 .0006092 .0021698 .36 .37 .0000013 .0000088 .0000487 .0002270 .0009018 .0030849 .37 .38 .0000022 .0000144 .0000769 ..0003443 .0013142 .0043207 .38 .39 .0000037 .0000233 .0001195- ..0005143 .0018867 .0059652 .39 .40 .0000062 .0000371 .0001829 .0007569 .0026702 .,0081231 .40 .41 .0000101 .0000583 .0002759 .0010982 .0037275- .0109164 .41 •f! .0000163 .0000901 .0004104 ..0015716 .0051351 .0144849 .42 .43 .0000259 .0001374 .0006023 .0022199 .0069848 .0189858 .43 .44 .0000465- .0002068 .0008724 .0030960 .0093849 .0245927 .44 .45 .0000625- .0003073 .0012478 .0042653 .0124610 .0314932 .45 .46 .0000952 .0004509 .0017632 .0058071 .0163565- .0398861 .46 .47 .0001433 .0006536 .0024623 .0078160 .0212321 .0499768 .47 .48 .0002132 .0009366 .0033995, .0104036 .0272651 .0619717 .48 .49 .0003136 .0013270 .0046419 .0136988 .0346467 .0760722 .49 • 50 .0004561 .0018596 .0062705- .0178491 .0435793 .0924667 .50 261 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-28 r-17 n-28 r-16 n=28 r=15 n=28 r=l4 n=28 r =13 n=28 r=12 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000003 .0000022 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000009 .0000065, .10 .11 .0000000 .0000000 .0000000 .0000003 .0000026 .0000174 .11 .12 .0000000 .0000000 .0000001 .0000010 .0000069 .0000420 .12 .13 .0000000 .0000000 .0000004 .0000026 .0000166 .0000930 .13 .14 .0000000 .0000001 .0000009 .0000063 .0000373 .0001917 .14 .15 .0000000 .0000003 .0000023 .0000143 .0000780 .0003711 .15 .16 .0000001 .0000008 .0000053 .0000304 .0001538 .0006799 .16 .17 .0000003 .0000018 .0000114 .0000611 .0002877 .0011869 •17 .18 .0000006 .0000040 .0000232 .0001166 .0005139 .0019844 .18 .19 .0000013 .0000083 .0000451 .0002128 .0008803 .0031923 .19 .20 .0000028 .0000165, .0000840 .0003731 .0014523 .0049596 .20 .21 .0000057 .0000315- .0001505, .0006304 .0023155, .0074660 .21 .22 .0000111 .0000576 .0002603 .0010304 .0035789 .0109201 .22 .23 .0000208 .0001018 .0004357 .0016335, .0053762 .0155568 .23 .24 .0000375, .0001744 .0007079 .0025178 .0078673 .0216311 .24 .25 .0000658 .0002901 .0011186 .0037814 .0112373 .0294110 .25 • 26 .0001119 .0004696 .0017227 .0055439 .0156944 .0391676 • 26 .27 .0001855, .0007413 .0025906 .0079478 .0214664 .0511636 •27 .28 .0002999 .0011426 .0038098 .0111582 .0287943 .0656412 .28 • 29 .0004736 .0017229 .0054872 .0153617 .0379253 .0828096 .29 .30 .0007318 .0025444 .0077498 .0207633 .0491038 .1028327 .30 • 3l .0011077 .0036850- .0107453 .0275827 .0625610 .1258182 .31 • 32 .0016444 .0052394 .0146415- .0360481 .0785047 .1518085- .32 • 33 .0023969 .0073207 .0196246 .0463896 .0971078 .1807737 .33 .34 .0034334 .0100613 .0258962 .0588302 .'1184988 .2126084 .34 • 35 .0048376 .0136123 .0336688 .0735771 .1427516 .2471309 .35 .36 .0067096 .0181433 .0431604 .0908122 .1698787 .2840860 .36 • 37 .0091675, .0238398 .0545876 .1106816 .1998255- .323151*2 .37 .38 .0123475, .0309009 .0681578 .1332873 .2324671 .3639455- .38 • 39 .0164038 .0395538 .0840603 .1586787 .2676089 .4060411 .39 .40 .0215076 .0499495- .1024577 .1868458 .3049893 .4489766 .40 .4l .0278448 .0623552 .1234768 .2177149 .3442850- .4922717 .41 .42 .0356131 .0769473 .1472002 .2511457 .3851201 .5354425- .42 .43 .0450176 .0939029 .1736584 .2869325- .4270762 .5780159 .43 .44 .0562650, .1133713 .2028244 .3248059 .4697051 .6195441 .44 .45 .0695576 .1354654 .2346087 .3644393 .5125423 .6596168 .45 .46 .0850853 .1602536 .2688580 .4054566 .5551212 .6978720 .46 .47 l, o .1030181 .1877527 .3053548 .4474424 .5969871 .7340035- .47 .48 .1234971 .2179215- .3438207 .4899537 .6377103 .7677670 .48 .49 .1466262 .2506575- .3839219 .5325332 .6768984 .7989828 .49 *50 .1724642 .2857941 .4252770 .5747230 .7142059 .8275358 .50 262 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-a p n=28 r =11 n»28 r=10 n-28 r= 9 n-28 r= 8 n=28 r= 7 n=28 r= 6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .01 .02 .0000000 .0000000 .0000000 .0000001 .0000010 .OOOOI65, .02 .03 .0000000 .0000000 .0000001 .0000012 .0000148 .0001554 .03 .04 .0000000 .0000001 .0000009 .0000099 .0000922 .0007208 .04 .03 .0000000 .0000006 .0000056 .0000492 .0003642 .0022687 .05 .06 .0000003 .0000029 .0000244 .0001758 .0010797 .0055854 .06 .07 .0000014 .0000114 .0000816 .0005013 .0026255, .0116051 • 07 .08 .0000051 .0000365- .0002266 .0012106 .0055212 .0212942 .08 .09 .0000157 .0000995, .0005454 .0025743 .0103894 .0355319 .09 .10 .0000423 .0002393 .0011723 .0049510 .0179067 .0550069 .10 .11 .0001019 .0005197 .0022989 .OO87769 .0287435, .0801453 .11 .12 .0002236 .0010374 .0041785, .0145442 .0435024 .1110715- .12 .13 .0004537 .0019288 .0071244 .0227713 .0626622 .1476048 .13 .14 .0008613 .0033748 .0115014 .0339655- .0865345, .1892831 .14 .15 .0015434 .0056030 .0177108 .0485856 .1152360 .2354087 .15 .16 .0026297 .0088852 .0261702 .0670060 .1486777 .2851064 .16 .17 .0042856 .0135311 .0372890 .0894864 .1865706 .3373887 .17 .18 .0067132 .0198779 .0514424 .1161497 .2284458 .3912185- .18 .19 .0101498 .0282758 .0689465- .1469698 .2736845, .4455679 .19 .20 .0148629 .0390707 .0900347 .1817697 .3215565- .4994669 .20 .21 .0211430 .0525855- .1148401 .2202283 .3712608 .5520421 .21 .22 .0292929 .0691005, .1433827 .2618966 .4219673 .6625429 .22 .23 .0396151 .0888358 .1755634 .3062205- .4728556 .6503582 .23 .24 .0523971 .1119550, .2111649 .3525676 .5231485, .6950217 .24 .25 0678966 .1384535, .2498592 .4002568 .5721398 .7362100 .25 .26 .0863264 .1683505- .2912205- .4485886 .6192149 .7737331 .26 .27 .1078406 .2014858 .3347432 .4968731 .6638640 .8075211 •27 .28 .1325229 .2376227 .3798631 .5444555, .7056889 .8376072 .28 .29 .1603783 .2764341 .4259798 .5907378 .7444038 .8641091 .29 .30 .1913274 .3175142 .4724805- .6351951 .7798303 .8872110 .30 .31 .2252053 .3603930 .5187624 .6773872 .8II8893 .9071452 .31 .32 .2617642 .4045539 .5642530 .7169652 .8405894 .9241762 .32 • 33 .3006799 .4494524 .6084278 .7536734 .8660135, .9385859 .33 .34 .3415615- .4945352 .6508241 .7873471 .8883052 .9506618 .34 .35 .3839644 .5392594 .6910516 .8179064 .9076541 .9606868 .35 •36 .4274050, .5831096 .7287980 .8453488 .9242827 .9689321 .36 .37 .4713774 .6256127 .7638322 .8697381 .9384339 .9756511 .37 .38 .5153695, .6663508 .7960024 .8911939 .9503605, .9810762 .38 • 39 .5588802 .7049699 .8252328 .9098793 .9603159 .9854166 .39 .40 .6014337 .7411861 .8515169 .9259902 .9685464 .9888573 .4o .41 .6425939 .7747879 .8749091 .9397437 .9752860 .9915598 .41 .42 .6819752 .8056364 .8955155, .9513689 .9807522 .9936630 .42 .43 .7192508 .8336620 .913^838 .9610985- .9851431 .9952845, .43 .44 .7541588 .8588591 .9289933 .9691610 .9886363 .9965230 .44 .45 .7865047 .8812789 .9422448 .9757760 .9913885- .9974600 .45 .46 .8161616 .9010216 .9534522 .9811492 .9935355, .9981620 .46 .47 .8430678 .9182268 .9628341 .9854699 .9951939 .9986829 .47 .48 .8672221- .9330651 .0706071 .9889088 .9964619 .9990655- .48 .49 .8886774 .9457281 .9769803 .9916178 .9974216 .9993437 .49 • 50 .9075333 .9564207 .9821509 .9937295, .9981404 .9995439 .50 832939 0 - 50 - 18 263 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q a-s p n=28 r= 5 n=28 r = 4 n=28 r= 3 n-28 r= 2 n-28 r= 1 n=29 r=28 p .01 .0000081 .0001690 .0027171 .0318248 .2452807 .0000000 .01 .02 .0002141 .0022314 .0180470 .1074660 .4320238 .0000000 .02 .03 .0013407 .0093248 .0506297 .2047285, .5738048 .0000000 .03 .04 .0046563 .0243340 .0998962 .3091454 .6811441 .0000000 .04 .05 .0117084 .0490739 .1626649 .4116914 .7621731 .0000000 .05 .06 .0240000 .0841032 .2347618 .5071062 .8231602 .0000000 .06 .07 .0427268 .1288672 .3119770 .5926784 .8689242 .0000000 .07 .08 .0686131 .1819815- .3905792 .6673723 .9031590 .0000000 .08 .09 .1018496 .2415467 .4675455, .7312109 .9286886 .0000000 .09 .10 .1421119 .3054337 .5406171 .7848460 .9476652 .0000000 .10 .11 .1886375. .3715127 .6082530 .8292657 .9617246 .0000000 .11 .12 .2403341 .4378186 .6695337 .8656004 .9721057 .0000000 .12 .13 .2958992 .5026558 .7240444 .8949983 .9797447 .0000000 .13 .14 .3539361 .5646528 .7717572 .9185509 .9853460 .0000000 .14 .15 .4130552 .6227768 .8129244 .9372516 .9894384 .0000000 .15 .16 .4719545. .6763196 .8479863 .9519767 .9924174 .0000000 .16 .17 .5294792 .7248653 .8774964 .9634809 .9945777 .0000000 .17 .18 .5846585- .7682474 .9020633 .9724024 .9961382 .0000000 .18 .19 .6367242 .8065011 .9223069 .9792721 .9972611 .0000000 .19 .20 .6851126 .8398173 .9388284 .9845257 .9980657 .0000000 .20 .21 .7294548 .8684985- .9521895, .9885169 .9986399 .0000000 .21 .22 .7695575- .8929205, .0629010 .9915294 .9990480 .0000000 .22 .23 .8053793 .9135010 .9714166 .9937887 .9993367 .0000000 .23 .24 .8370039 .9306728 .9781317 .9954724 .9995400 .0000000 .24 .25 .8646127 .9448644 .9833853 .9967194 .9996825, .0000000 .25 .26 .8884590 .9564856 .9874638 .9976372 .9997820 .0000000 • 26 .27 .9088445, .9659171 .9906063 .9983085, .9998511 .0000000 .27 .28 .9260989 .9735052 .9930095- .9987965- .9998988 .0000000 .28 .29 .9405625, .9795582 .9948337 .9991490 .9999316 .0000000 .29 .30 .9525731 .9843464 .9962084 .9994020 .9999540 .0000000 .30 .31 .9624551 .9881028 .9972367 .9995825- .9999693 .0000000 .31 • 32 .9705123 .9910257 .9980003 .9997104 .9999796 .0000000 .32 .33 .9770234 .9932817 .9985632 .9998004 .9999865, .0000000 .33 .34 .9822387 .9950088 .9989750, .9998634 .9999911 .0000000 .34 • 35 .9863797 .9963204 .9992742 .9999072 .9999942 .0000000 .35 • 36 .9896391 .9973084 .99911.898 .9999373 .9999963 .0000000 .36 *37 .9921824 .9980466 .0996441 .9999580 .9999976 .0000000 .37 .38 .9941497 .9985936 .9997537 .9999721 .9999985- .0000000 .38 • 39 .9956583 .9989956 .9998308 .9999816 .9999990 .0000000 .39 .40 .9968050, .9992887 .0998848 .9999879 .9999994 .0000000 .40 .41 .9976689 .9995004 .0999221 .9999922 .9999996 .0000000 .41 .42 .9983141 .9996522 .9999478 .9999949 .9999998 .0000000 .42 .43 .9987914 .9997599 .9999654 .9999968 .9999999 .0000000 .43 .44 .9991415, .9998358 .9999772 .9999980 .9999999 .0000000 .44 .45 h r .9993958 .9998887 .9999851 .9999987 .9999999 .0000000 .45 .46 .9995788 .9999253 .9999904 .9999992 1.0000000 .0000000 .46 • 47 1. n .9997092 .9999503 .9999938 .9999995, 1.0000000 .0000000 .47 .48 .9998013 .9999673 .9999961 .9999997 1.0000000 .0000000 .48 • 49 .9998656 .9999787 .9999976 .9999998 1.0000000 .0000000 .49 • 50 .9999100 .9999863 .9999985- .9999999 1.0000000 .0000001 .50 — irsi 264 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=29 r=27 n=29 r=26 n=29 r=25 n=29 r=24 n=29 r =23 n-29 r-22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 . QOOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 ! .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 •23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 2 Z .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005- .30 .31 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000002 .0000016 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000004 .0000028 .33 .34 .0000000 .0000000 .0000000 .0000001 .0000008 .0000049 .34 .35 .0000000 .0000000 .0000000 .0000002 .0000013 .0000085- .35 .36 .0000000 .0000000 .0000000 .0000003 .0000024 .0000142 .36 .37 .0000000 .0000000 .0000001 .0000006 .0000041 .0000235, .37 .38 .0000000 .0000000 .0000001 .0000010 .0000069 .0000381 .38 .39 .0000000 .0000000 .0000002 .0000018 .0000114 .0000608 .39 .40 .QOOOOOO .0000000 .0000004 .0000030 .0000186 .0000954 .40 .41 .0000000 .0000001 .0000007 .0000050- .0000299 .0001475, .41 .42 .0000000 .0000001 .0000011 .0000082 .0000473 .0002247 .42 .43 .0000000 .0000002 .0000019 .0000133 .0000738 .0003373 .43 .44 .0000000 .0000004 .0000032 .0000214 .0001137 .0004997 .44 *45 .0000001 .0000006 .0000053 .0000337 .0001726 .0007305, .45 .46 .0000001 .0000011 .0000086 .0000525- .0002588 .0010545, .46 .47 .0000002 .0000018 .0000137 .0000807 .0003832 .0015037 .47 .48 .0000005 .0000029 .0000216 .0001226 .0005604 .0021188 .48 .49 .0000005- .0000048 .0000337 .0001840 .0008101 .0029513 .49 .50 .0000008 .0000076 .0000519 .0002731 .0011578 .0040650, .50 265 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-29 r-21 n=29 r-20 n=29 r-19 n=29 r=l8 n=29 r=17 n=29 r=l6 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000060 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0.000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .00000 00 .6000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015, .16 .17 .0000000 .0000000 .0000000 .0000001 .0000005, .0000035- .17 .18 .0000000 .0000000 .0000000 '.0000002 .0000012 .0000075- .18 .19 .0000000 .0000000 .0000001 .0000004 .0000027 .0000153 .19 .20 .0000000 .0000000 .0000001 .0000009 .0000056 .0000300 .20 .21 .0000000 .0000000 .0000003 .0000019 .0000111 .0000565- .21 .22 .0000000 .0000001 .0000006 .0000039 .0000213 .0001022 .22 .23 .0000000 .0000002 .0000013 .0000076 .0000394 .0001786 .23 .24 .0000001 .0000004 .0000025, .0000143 .0000704 .0003024 .24 .25 .0000001 .0000008 .0000049 .0000262 .0001218 .0004972 .25 .26 .0000002 .0000016 .0000091 .0000463 .0002049 .0007954 .26 .27 .0000005- .0000030 .0000165- .0000796 .0003356 .0012406 •27 .28 .0000009 .0000055- .0000289 .0001333 .0005359 .0018895- .28 .29 .0000017 .0000098 .0000496 .0002179 .0008359 .0028145, .29 .30 .0000031 .0000171 .0000829 .0003479 .0012756 .0041060 .30 .31 .0000055- .0000293 .0001355- .0005437 .0019066 .0058737 .31 .32 .0000095, .0000490 .0002167 .0008324 .0027948 .0082480 .32 • 33 .0000163 .0000802 .0003398 .0012499 .0040218 .0113810 .33 .34 .0000273 .0001288 .0005225, .0018427 .0056869 .0154452 .34 .35 .0000449 .0002027 .0007890 .0026697 .0079087 .0206321 .35 • 36 .0000724 .0003136 .0011710 .0038041 .0108257 .0271494 .36 .37 .0001146 .0004767 .0017096 .0053355- .0145963 .0352165, .37 .38 .0001785, .0007129 .0024566 .0073709 .0193978 .0450585- .38 .39 .0002735- .0010496 .0034773 .0100363 .0254245, .0568991 .39 .40 .0004125, .0015222 .0048514 .0134769 .0328843 .0709528 .40 .4l .0006130 .0021762 .0066750- .0178571 .0419941 .0874151 .41 .42 .0008981 .0030683 .0090620 .0233588 .0529735- .1064535- .42 .43 .0012979 .0042688 .0121453 .0301795- .0660383 .1281977* .43 .44 .0018308 .0058631 .0160763 .0385285, .0813918 .1527306 .44 .45 .0026057 .0079534 .0210255- .0486222 .0992161 .1800799 .45 .46 .0036234 .0106598 .0271801 .0606778 .1196628 .2102116 .46 .47 .0049785, .0141216 .0347421 .0749062 .1428434 .2430256 .47 .48 .0067615- .0184971 .0439243 .0915039 .1688208 .2783531 .48 .49 .0090798 .0239633 .0549452 .1106437 .1976015, .3159570 .49 .50 .0120598 .0307142 .0680230 .1324654 .2291292 .3555356 .50 266 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-8 p n=29 r =15 n-29 r-14 n-29 r=13 n=29 r =12 n=29 r=ll n=29 r =10 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 . 0-000000 .0000000 .0000000 .03 .04 .0000000 .O'OQOOOO .0000000 .0000000 .0000000 .0000001 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .05 .06 .0000000 .0000000 .0000000 .Q000000 .0000005- .0000042 .06 .07 .0000000 .0000000 .0000000 .0000002 .0000021 .0000163 .07 .08 .0000000 .0000000 .0000001 .0000010 .0000076 .0000517 .08 .09 .0000000 .0000000 .0000004 .0000034 .0000233 .0001396 .09 .10 .0000000 .0000002 .0000014 .0000101 .0000620 .0003326 .10 .11 .0000000 .0000006 .0000042 .0000267 0001478 .0007154 .11 .12 .0000002 .0000017 .0000111 .0000637 .0003212 .0014143 .12 .13 .0000006 .0000044 .0000266 .0001399 .0006454 .0026042 .13 .14 .0000017 .0000107 .0000589 .0002854 .6012132 .0045125, .14 • 15 .0000041 .0000239 .0001220 .0005469 .0021523 .0074192 .15 • 16 .0000093 .0000502 .0002580 .0009919 .0036306 .0116508 .16 .17 .0000198 .0000996 .0004*106 .0017137 .0058573 .0175700 .17 .!8 .0000400 .0001881 .0007786 .0028356 .0090829 .0255595, .18 .19 1 .0000769 .0003396 .0013196 .0045142 .0135937 .0360032 .19 .20 .0001418 .0005889 .0021537 .0069403 .0197044 .0492635, .20 .21 1 .0002515 .0009843 .0033971 .0103382 .0277459 .0656590 .21 .22 i .0004297 .0015911 .0051940 .0149621 .0380506 .0654426 .22 .23 .0007112 .0024944 .0077178 .0210902 .0509358 .1087832 .23 .24 .0011423 .0038017 .0111706 .0290149 .0666862 .1357502 .24 .25 .0017843 .0056454 .0157807 .0390324 .0855358 .1663049 .25 .26 .0027162 .0081830 .0217975- .0514289 .1076527 .2002967 • 26 .27 .0040370 .0115978 .0294846 .0664664 .1331248 .2374653 .27 .28 .0058674 .0160963 .0391114 .0843681 .1619508 .2774500, .28 .29 .0083508 .0219051 .0509418 .1053045, .1940345- .3198024 .29 • 30 .0116538 .0292654 .0652225- .1293811 .2291834 .3640041 .30 • 3i .0159649 .0384260 .0821708 .1566282 .2671135- .4094875, .31 . 32 .0214916 .0496342 .1019619 .1869943 .3074569 .4556576 .32 .33 .0284571 .0631266 .1247176 .2203427 .3497748 .5019142 .33 .34 .0370938 .0791175- .1504961 .2564525- .3935725, .5476734 .34 • 35 .0476367 .0977882 .1792844 .2950226 .4383176 .5923867 .35 • 36 .0603150, .1192761 .2109934 .3356809 .4834586 .6355574 .36 • 37 .0753424 .1436648 .2454560 .3779949 .5284445- .6767539 .37 .38 .0929070 .1709756 .2824289 .4214868 .5727424 .7156184 .38 • 39 .1131615- .2011615, .3215975- .4656483 .6158552 .7518725- .39 .4o .1362129 .2341032 .5625842 .5099594 .6573346 .7853184 .40 .41 .1621144 .2696086 .4049595, .5539038 .6967935- .8158376 .41 .42 .1908573 .3074150- .4482555- .5969862 .7339129 .8433856 .42 .43 .2223662 .3471943 .4919802 .6387469 .7684476 .8679854 .43 .44 .2564962 .3885615, .5356542 .6787745 .8002269 .8897181 .44 .45 .2930325- .4310857 .5787259 .7167164 .8291531 .9087136 .45 .46 .3316934 .4743024 .6207866 .7522852 .8551972 .9251397 .46 • 47 .3721359 .5177284 .6613848 .7852637 .8783926 .9391922 .47 .48 .4139645, .5608769 .7001375, .8155055- .8988267 .9510852 .48 • 49 .4567414 .6032721 .7367197 .8429^31 .9166322 .9610417 .49 • 50 .5000000 .6444644 .7708708 .8675346 .9319770 .9692858 .50 267 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=29 r= 9 n=29 r* 8 n=29 r= 7 n-29 r- 6 n-29 r= 5 n=29 r= 4 P .01 .0000000 .0000000 .0000000 .0000004 .0000097 .0001945- .01 .02 .0000000 .0000001 .0000014 .0000205- .0002545- .0025477 .02 .03 .0000001 .0000016 .0000191 .0001909 .0015802 .0105640 .03 .04 .0000013 .0000132 .0001174 .0008782 .00,54435- .0273565- .04 .05 .0000078 .0000649 .0004594 .0027407 .0135767 .0547534 .05 .06 .0000335- .0002301 .0013501 .0066903 .0276062 .0931427 .06 .07 .0001110 .0006500, .0032541 .0137836 .0487566 .1416848 .07 .08 .0003053 .0015554 .OO6783O .0250797 .0776826 .1986693 .08 .09 .0007280 .0032777 .0126522 .0415005- .1144223 .2618866 • 09 .10 .0015502 .0062466 .0216167 .0637174 .1584441 .3289520 .10 .11 .0030115- .0109732 .0343977 .0920794 .2087538 .3975542 .11 .12 .0654224 .0180192 .0516107 .1265830 .2640322 .4656244 .12 .13 .0091585- .0279571 .0737047 .1668830 .3227775, .5314363 .13 .14 .0146463 .0413251 .1Q09193 .2123345, .3834365- .5936474 .14 .15 .0223420 .0585832 .1332619 .2620556 .4445134 .6512989 .15 .16 .0327039 .0800735- .1705063 .3150021 .5046529 .7037863 .16 .17 .0461625, .1059907 .2122097 .3700441 .5626948 .7508126 .17 .18 .0630897 .1363630 .2577449 .4260377 .6177045- .7923342 .18 .19 .0837709 .1710456 .3063424 .4818876 .6689818 .8285042 .19 .20 .1083817 .2097271 .3571386 .5365961 .7160535, .8596195, .20 .21 .1369716 .2519451 .4092248 .5892987 .7586539 .8860736 .21 .22 .1694558 .2971122 .4616939 .6392861 .7966974 .9083162 .22 .23 .2056146 .3445466 .5136812 .6860130 .8302473 .9268216 .23 .24 .2451016 .3935070 .5643981 .7290975- .8594845- .9420629 .24 .25 .2874586 .4432276 .6131574 .7683107 .8.846757 .9544946 .25 .26 .3321362 .4929515- .6593897 .8035619 .9061459 .9645399 • 26 .27 .3785183 .5419606 .7026514 .8348785- .9242541 .9725872 .27 .28 .4259490 .5896009 .7426260 .8623849 .9393727 . 9789664 .28 .29 .4737596 .6353009 .7791183 .8862806 .9518713 .9839881 .29 .30 .5212949 .6785856 .8120445- .9068196 .9.621051 .9879050- .30 .31 .5679361 .7190828 .8414186 .9242912 .9704059 .9909343 .31 . 32 .6131209 .7565249 .8673371 .9390037 .9770766 .9932576 .32 • 33 .6563588 .7907457 .8899624 .9512703 .9823886 .9950246 .33 .34 .6972419 .8216729 .9095065- .9613979 .9865805, .9963573 .34 .35 .7354508 .8493181 .9262156 .9696793 .9898589 .9973542 .35 • 36 .7707563 .8737650- .9403565- .9763866 .9924000 .9930937 .36 .37 .8030174 .8951556 .9522043 .9817677 .9943521 .9986377 .37 .38 .8321751 .9136772 .9620325, .9860442 .9958384 .9990344 .38 • 3 - 9 .8582450- .9295496 .9701051 .9894109 .9969599 .9993214 .39 .40 .8813062 .9430127 .9766707 .9920364 .9977985- .9995271 .40 .41 .9014913 .9543160 .9819582 .9940645, .9984199 .9996733 .41 .42 .9189740 .9637099 .9861747 .9956164 .9988761 .9997764 .42 .43 .9339581 .9714377 .9895039 .9967925- .9992079 .9998483 .43 .44 .9466671 .9777302 .9921065- .9976751 .9994470 .9998980 .44 .45 .9573339 .9828016 ..9941206 .9983311 .9996176 .9999321 .45 .46 .9661928 .•9868469 .9956637 .9988137 .9997382 .9999552 .46 .47 i« n .9734729 .9900402 .9968337 .9991653 .9998225, .9999708 .47 .48 .9793919 .9925343 .9977116 .9994187 .9998810 .9999811 .48 • 49 .9841527 .9944617 .9983634 .9995994 .9993210 .9999879 .49 • 50 .9879402 .9959350- .9988422 .9997269 .9999481 .9999924 • 50 268 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST p | n -29 r- 3 n=29 r= 2 n=29 r- 1 n=30 r =28 n-30 r-27 n-30 r-26 p .01 .0030082 .0359595 .2528279 .0000000 .0000000 .0000000 .01 .02 .0198354 .1139572 .4433833 .0000000 .0000000 .0000000 .02 .03 .0552526 .2158008 .5865907 .0000000 .0000000 .0000060 .03 .04 .1082662 .32^0254 .6938983 .0000000 .0000000 .0000000 .04 .05 .1751162 .4292155- .7740645- .0000000 .0000000 .0000006 .05 .06 .2511025- .5260695- .8337706 .0000000 .0000000 .0000000 .06 .07 .3316261 .6120156 .8780995- .0000000 .0000000 .0000000 .07 .08 .4127226 .6862352 .9109063 .0000000 .0000000 .0000000 .08 .09 .4912754 .7489839 .9351066 .0000000 .0000000 .0000000 .09 .10 .5650400 .8011279 .9528987 .0000000 .0000000 .0000000 .10 .11 .6325644 .8438362 .9659349 .0000000 .0000000 .0000000 .11 .12 .6930617 .87838IO .975^531 .oooo'ooo .0000000 .0000000 .12 .13 .7462684 .9060153 .9823779 .0000000 .0000000 .0000000 .13 .14 .7923083 .9279022 .9873975, .0000000 .0000000 .0000000 .14 .15 .8315755- .9450797 .9910226 .0000000 .0000000 .0000000 .13 .16 .8646247 .9584472 .9936306 .0000000 .0000000 .0000000 .16 .17 .8921138 .9687673 .995^995- .0000000 .0000000 .0000000 .17 .18 .9147243 .9766748 .9968333 .0000000 .0000000 .0000000 .18 .19 .9351503 .9826900 .9977815- .0000000 .0000000 .0000000 • 19 .20 .9479678 .9872337 .9984526 .0000000 .0000000 .0000000 .20 .21 .9598183 .9906428 .9989256 .0000000 .0000000 .0000000 .21 .22 .9691995 .9931835- .9992574 .0000000 .0000000 .0000000 .22 .23 .9765622 •9950647 .9994892 .0000000 .0000000 .0000000 .23 .24 .9822954 .9964486 .9996504 .0000000 .0000000 .0000000 .24 .25 .9867188 .9974602 .9997619 .0000000 .0000000 .0000000 .25 .26 .9901089 .9981948 .9998387 .0000000 .0000000 .0000000 • 26 .27 .9926859 .9987250- .9998913 .0000000 .0000000 .0000000 .27 .28 .9946299 .9991051 .9999271 .0000000 .0000000 .0000000 .28 .29 .9960852 .9993759 .9999514 .0000000 .0000000 .0000000 .29 .30 .9971665- .9995676 .9999678 .0000000 .0000000 .0000000 .30 .31 .9979659 .9997024 .9999788 .0000000 .0000000 .0000000 .31 .32 .9985475, .9997965, .9999861 .0000000 .0000000 .0000000 .32 • 33 .9989715- .9998618 .9999910 .0000000 .0000000 .0000000 .33 .34 .9992771 .9999068 .9999942 .0000000 .0000000 .0000000 .34 .35 .9994957 .9999376 .9999962 .0000000 .0000000 .0000000 .35 .36 .9996509 .9999585, .9999976 .0000000 .0000000 .0000000 .36 .37 .9997605 .9999727 .9999985- .0000000 .0000000 .0000000 .37 .38 .9998567 .9999821 .9999990 .0000000 .0000000 .0000001 .38 .39 .9998896 •9999884 .9999994 .0000000 .0000000 .0000001 .39 .40 .9999260 •9999925, .9999996 .0000000 .0000000 .0000002 .40 .41 .9999508 .9999952 .9999998 .0000000 .0000000 .0000003 .41 .42 .9999676 .9999970 .9999999 .0000000 .0000001 .0000006 .42 .43 .9999789 .9999981 .9999999 .0000000 .0000001 .0000010 .43 .44 .9999863 .9999988 1.0000000 .0000000 .0000002 .0000016 .44 .45 .9999912 .9999993 1.0000000 .0000000 .0000003 .0000027 .45 .46 .9999944 .9999996 1.0000000 .0000000 .0000006 .000004-5, .46 .47 .9999965, .9999997 1.0000000 .0000001 .0000009 .0000074 .47 .48 .9999978 .9999998 1.0000000 .0000001 .0000016 .0000119 .48 .49 .9999987 .9999999 1.0000000 .0000003 .0000026 .0000189 .49 • 50 .9999992 .9999999 1.0000000 .0000004 .0000042 .0000297 .50 269 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-30 r=25 n=30 r=24 n=30 r=23 n=30 r=22 n=30 r=21 n-30 r=20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000^00 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .OOOOOO0 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .'18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .22 •23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000003 .0000018 .25 .26 .0000000 .0000000 .0000000 .0000001 .0000006 .0000035, • 26 .27 .0000000 .0000000 .0000000 .0000002 .0000011 .0000066 .27 .28 .0000000 .0000000 .0000000 .0000003 .0000022 .0000120 .28 .29 .0000000 .0000000 .0000001 .0000007 .0000040 .0000213 .29 .30 .0000000 .0000000 .0000002 .0000012 .0000073 .0000369 .30 .31 .0000000 .0000000 .0000003 .0000023 .0000129 .0000622 .31 • 32 .0000000 .0000001 .0.000007 .0000041 .0000222 .0001027 .32 . 33 .0000000 .0000002 .0000012 .0000073 .0000374 .0001659 .33 .34 .0000000 .0000003 .0000022 .0000126 .0000618 .0002626 .34 • 35 .0000001 .0000006 .0000038 .0000212 .0001001 .0004079 .35 • 36 .0000001 .0000011 .0000066 .0000352 .0001592 .0006223 .36 • 37 .0000003 .0000019 .0000113 .0000572 .0002486 .0009328 .37 .38 .0000005- .0000032- .0000187 .0000915- .0003816 .0013755, .38 • 3*9 .0000008 .0000055, .0000307 .0001437 .0005761 .0019964 .39 .4o .0000014 .0000092 .0000493 .0002223 .0008564 .0028539 .40 .41 .0000024 .0000152 .0000781 .0003384 .0012539 .0040207 .41 .42 .0000041 .0000246 .0001218 .0005075, .0018096 .0055857 .42 .43 It l. .0000068 .0000394 .0001871 .0007504 .0025754 .0076557 .43 .44 1 . r* .0000112 .0000620 .0002835, .0010942 .0036162 .0103569 .44 • 45 li /• .0000181 .0000962 .0004237 .0015744 .0050121 .0138358 .45 .46 .0000288 .0001474 .0006248 .0022362 .0068601 .0182591 .46 • 47 i, n .0000452 .0002229 .0009098 .0031369 .0092758 .0238132 .47 .48 .0000701 .0003328 .0013084 .0043473 .0123946 .0307021 .48 .49 .0001073 .0004908 .0018593 .0059543 .0163727 .0391444 .49 • 50 .0001625- .0007155- .0026114 .0080624 .0213870 .0493686 .50 270 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r 8 q n-s p H n=30 r-19 n=30 r-18 n-30 r=17 n=30 r=l6 n=30 r=15 n=30 r=l4 p .01 .0000000 .6000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .6000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .6000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .Ooooooo .0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000010 .11 .12 .0000000 .0000000 .0000000 .0000001 .0000004 .0000028 .12 .13 .0000000 .6000000 .0000000 .0000002 .0000011 .0000073 .13 .14 .0000000 .6000000 .0000001 .0000004 .0000030 .0000174 .14 .15 .0000000 .0000000 .0000002 .0000011 .0000071 .0000386 .15 .16 .0000000 .0000001 .0000004 .0000028 .0000158 .0000802 .16 .17 .0000000 .0000001 .0000010 .0000062 .0000334 .0001576 .17 .18 .0000000 .0000004 .0000023 .0000133 .0000667 .0002944 .‘18 .19 .0000001 .0000008 .0000051 .0000270 .0001269 .0005258 .19 .20 .0000005 .0000018 .0000105- .0000524 .0002312 .0009019 .20 • 2i .0000006 .0000039 .0000207 .0000974 .0004052 .0014910 .21 .22 .0000013 .0000077 .0000391 .0001742 .0006852 .0023837 .22 .23 .0000027 .0000149 .0000714 .0003011 .0011214 .0036957 .23 .24 .0000054 .0000273 .0001261 .0005040 .0017805, .0055703 .24 .25 .0000102 .6000501 .0002157 .0008190 .0027495, .0081792 .25 .26 .0000183 .0000875, .0003585- .0012948 .0041376 .0117228 • 26 .27 .0000335, .0001487 .0005799 .0019956 .0060784 .0164273 .27 .28 .0000582 .0002460 .0009149 .0030033 .0087315- .0225405, .28 .29 .0000984 .0003971 .0014097 .0044200 .0122816 .0303258 .29 .30 .000162.4 .0006262 .0021247 .0063703 .0169373 .0400525, .30 .31 .6002620 .0009662 .0031364 .0090019 .0229278 .0519868 .31 .32 .0004138 .0014604 .0045398 .0124860 .0304973 .0663791 .32 • 33 .0006401 .0021646 .0064503 .0170161 .0338980 .0834516 .33 .34 .0009714 .6031497 .0090047 .0228057 .0513818 .1033862 .34 .35 .0014473 .0045034 .0123619 .0300837 .0651897 .1263119 .35 • 36 .0021190 .0063319 .0167023 .0390891 .0815410 .1522943 .36 • 37 .0030511 .6087620 .0222258 .0500631 .1006217 .1813275, .37 .38 .0043240 .0119411 .0291489 .0632409 .1225731 .2133279 .38 .39 .0060353 .0160377 .0376996 .0788414 .1474815- .2481315, .39 .40 .0083016 .0212399 .0481117 .0970568 .1755691 .2854956 .40 .4l .61125^6 .0277532 .0606167 .1180418 .2061870 .3251025- .41 .42 .6150667 .0357969 .0754351 .1419031 .2398115, .3665680 .42 .43 .0199000 .0455988 .0927668 .1686902 .2760423 .4094522 .43 .44 .0259553 .0573883 .1127809 .1983875- •3146049 .4532735, .44 .45 i. /• .0334440 .0713894 .1356048 .2309086 .3551564 4975237 .45 .46 .0425890 . 087810.9 .1613152 .2660932 .3972935, .5416851 .46 .47 I, n .0536192 .1068367 .1899290 .3037075- .4405644 .5852469 .47 .48 .0667625- .1286160 .2213963 .3434466 .4844824 .6277220 .48 .49 .0822374 .1532530 .2555957 .3849414 .5285415- .6686615- .49 • 50 .1002442 .1807973 .2923324 .4277678 .5722322 .7076676 .50 271 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s^n-s p n=30 r=15 n-30 r~12 n-30 r-11 n-30 r=10 n=30 r= 9 n=30 r= 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .aoooooi .02 .03 .0000000 .0000000 .0000000 .0000000 .0000002 .0000021 .03 .04 .0000000 .0000000 .0000000 .0000001 .0000017 .0000174 .04 .03 .0000000 .0000000 .0000001 .0000012 .0000.107 .0000846 .05 .06 .0000000 .0000001 .0000007 .0000059 .0000453 .Q002973 .06 .07 .0000000 .0000004 .0000031 .0000230 .0001487 .0,008323 • 07 .08 .0000002 .0000015, .0000111 .0000720 .0004054 .0019736 .08 .09 .0000007 .0000052 .0000337 .0001926 .0009575- .0041214 •09 .10 .0000023 .0000153 .0000891 .0004544 .0020198 .0077836 .10 .11 .0000067 .0000400 .0002103 .0009680 .0038873 .0135499 .11 .12 .0000174 .0000946 .0004524 .0018953 .0069340 .0220502 .12 .13 .0000413 .0002056 .0009001 .0034563 .0116023 .0339043 .13 .14 .0000906 .0004153 .0016751 .0059313 .0183814 .0496683 .14 .15 .0001857 .0007877 .0029424 .0096576 .0277782 ,0697850- .15 .16 .0003586 .0014141 .0049138 .0150193 .0402831 .0945427 .16 .17 .0006570 .0024181 .0078485- .0224307 .0563333 .1240479 .17 .18 .0011489 .0039601 .0120487 .0323150- .0762789 .1582117 .18 .19 .0019266 .0062393 .0178515, .0450791 .1003531 .1967520 .19 .20 .0031110 .0094931 .0256163 .0610871 .1286508 .2392094 .20 .21 .0048547 ..0139938 .0357076 .0806346 .1611161 .2849738 .21 .22 .0073430 ..0200416 .0484768 .1039255, .1975402 .3333201 .22 .23 .0107934 ..0279547 .0642407 .1310544 .2375689 .3834475, .23 .24 .0154532 .0380560 .0832616 .1619945, .2807189 .4345208 .24 .25 .0215936 ..0506583 .1057281 .1965934 .3264008 .4857100 .25 . 26 .0295016 .0660471 .1317401 .2345749 .3739482 .5362254 • 26 .27 .0394697 .0844641 .1612967 .2755496 .4226477 .5853472 • 27 .28 .0517833 .1060912 .1942906 .3190297 .4717715, .6324479 .28 .29 .0667070 .1310362 .2305072 .3644500- .5206066 .6770080 .29 .30 .0844701 .1593218 ..2696296 .4111915 .5684821 .7186233 .30 .31 .1059526 .1908786 .3112494 .4586066 .6147916 .7570069 .31 . 32 .1291723 .2255423 .3548811 .5060459 .6590102 .7919848 .32 *33 .1562739 .2630553 .3999808 .5528810 .7007065- .8234872 .33 .34 .1865212 .3030733 .4459668 .5985267 .7395484 .8515363 .34 .35 .2197928 .3451759 .4922418 .6424591 .7753043 .8762322 .35 • 36 .2558809 .3888809 ,5382142 .6842290 .8078394 .8977379 .36 *37 .2944954 .4336612 .5833190 .7234714 .8371085, .9162636 .37 .38 .3352708 .4789638 .6270353 .•7599100 .8631459 .9320522 .38 .39 .3777773 .5242290 .6689019 .7933577 .8860538 .9453663 .39 .4o .4215343 .5689095, .7085281 .8237135, .9059888 .9564759 .40 .41 .4660267 .6124886 .7456015, .8509556 .9231494 .9656493 .41 .42 .5107224 .6544954 .7798915- .8751327 .9377630 .9731451 .42 .43 .5550899 .6945182 .8112489 .8963537 .9500743 .9792061 .43 .44 )i r~ .5986160 .7322136 .8396030 .9147757 .9603348 .9840557 .44 • 45 it r .6408216 .7673129 .8649553 .9305927 .9687944 .9878952 .45 .46 .6812760 .7996247 .8873707 .9440241 .9756937 .9909026 • 46 .47 I. Q .7196079 .8290343 .9069684 .9553042 .9812595, .9932331 .47 .4o .7555141 .8554997 .9239108 .9646725- .9857003 .9950194 .48 • 49 .7887643 .8790457 .9383929 .9723661 .9892041 .9963736 .49 • 50 •8192027 .8997558 .9506314 .9786130 .9919376 .9973886 • 50 272 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r S q Il-8 p n=30 r= 7 n=30 r= 6 n=30 r= 5 n-30 r= 4 n-30 rs 3 .n=30 r= 2 p .01 .0.000000 .0000005- .0000116 .0002226 .0033177 .0361480 .01 .02 .0000017 .0000251 .0003003 .0028935- .0217178 .1205457. .02 .03 .0000242 .0002326 .0018497 .0119046 .0600691 .2269245, .03 .04 .00014-78 .0010608 .0063200 .0305929 .II68966 .3388203 .04 .03 .0005735- .0032825- .0156355, .0607716 .1878212 .4464579 .05 .06 .0016705- .0079452 .0315384 .1026203 .2676005- .5445315, .06 .07 .0039912 .6162317 .0552616 .1549807 .3512534 .6306415- .07 .08 .0082468 .0292879 .0873615, .2157936 . 4346036 .7042089 .08 .09 .0152486 .6480634 .1276941 .2825316 .5144692 .7657349 • 09 .10 .0258268 .0731901 .1754949 .3525608 .5886488 .8163050- .10 .11 .Q407427 .1049136 .2295218 .4234053 .6558043 .8572671 .11 .12 .0606074 .1430769 .2882233 .4929169 .7153000 .8900297 .12 .13 .0858179 .1871493 .3499032 .5593645- .7670355- .9159425- .13 .14 .1165175- .2362888 .4128660 .6214599 .8112915- .9362316 .14 .15 .1525810 .2894243 .4755313 .6783401 .8485994 .9519711 .15 .16 .1936256 .3453463 .5365143 .7295204 .8796363 .9640765, .16 .17 .2390415, .4027947 .5946748 .7748338 .9051449 .9733118 .17 .18 .2880376 .4605377 .6491378 .8143644 .9258754 .9803034 .18 .19 .3396960 .5174355- .6992910 .8483832 .9425466 .9855574 .19 .20 .3930301 .5724876 .7447667 .8772892 .9558210 .9894775, .20 .21 .4470403 .6248633 .7854121 .9015600 .'9662914 .9923822 .21 .22 .5007642 .6739166 .8212535, .9217105, .9744758 .9945198 .22 •23 .5533175, .7191869 .8524594 .9382619 .9808177 .9960823 .23 .24 .6039259 .7603903 .8793033 .9517182 .9856907 .9972170 .24 .25 .6519457 .7974019 .9021304 .9625507 .9894041 .9980356 .25 .26 .6968744 .8302337 .9213284 ..9711879 .9922113 .9986222 • 26 .27 .7383527 .8590099 .9373030 .9780109 .9943165- .9990399 •27 .28 .7761585, .8839414 .9504589 ,9833522 .9958829 .9993353 .28 .29 .8101954 .9053019 .9611852 .9874963 .9970395- .9995428 •29 .30 .8404770 .9234052 .9698451 .9906834 ,9978868 .9996877 .30 .31 .8671091 .9385868 .9767697 .9931135- .9985028 .9997881 .31 .32 .8902704 .9511871 .9822545, .9949504 ,9989472 .9998572 .32 .33 .9101940 .9615393 .9865585- ,9963270 .9992653 .9999044 .33 .34 .9271496 .9699600 .9899046 .9973500, .9994912 .9999365, .34 .35 .9414279 .9767422 .9924823 .9981037 .9996504 .9999581 .35 • 36 .9533273 .9821515- .9944498 .9986543 .9997617 .9999726 .36 .37 .9631428 .9864240 .9959378 .9990530 .9998388 .9999822 .37 .38 .9711569 .9897660 .9970529 .9993393 .9998919 .9999885, .38 .39 .9776344 .9923550- .9978809 .9995430 .9999281 .9999927 .39 .40 .9828170 .9943412 .9984899 .9996867 .9999526 .9999954 .40 .41 .9869218 .9958502 .9989358 .9997871 .9999690 .9999971 .41 .42 .9901402 .9969855- .9992542 .9998567 .9999799 .9999982 .42 .43 .9926380 .9978311 .9994833 ,9999044 .9999871 .9999989 .43 .44 .9945567 .9984548 .99964-54 .9999369 .9999918 .9999993 .44 .45 .9960153 .9980100 .9997591 .9999587 .9999949 .9999996 ♦ 45 .46 .9971127 .9992390 .9998380 .9999733 .9999968 .9999998 .46 .47 .9979295, .9994742 .9998922 .9999829 .9999980 .9999999 .47 .48 .9985310 .9996406 .9999290 .9999891 .9999988 .9999999 .48 .49 .9989691 .9997570 .9999538 .9999932 .9999993 1.0000000 .49 • 50 .9992845, .9998375, .9999703 .9999958 .9999996 1.0000000 • 50 273 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p •n-50 r- 1 n=31 r=29 n=31 r=28 n-31 r-27 n-31 r-26 n=31 r=25 p .01 .2602996 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .4545157 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .5989929 .,0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .7061424 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .7853612 .0000000 .0000000 .0000000 .0000000 .0000000 • 05 .06 .8457444 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .8866325, .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .9180338 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .9409470 .000000,0 .0000000 .0000000 .0000000 .0000000 .09 .10 .9576088 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .9696820 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .9783987 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .9846687 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .9891619 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .9923692 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .9946497 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .9962646 .0000000 .0000000 .0000000 .0000000 .0000000 • 17 .18 .9974033 .0000000 .0000000 .0000000 .0000000 .0000000 .*18 .19 .9982030 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .9987621 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .9991512 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .9994208 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .9996067 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .9997343 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .9998214 .0000000 .0000000 .0000000 .0000000 . .0000000 .25 .26 ..9998806 .0060000 .0000000 .0000000 .0000000 .0000000 j • 26 .27 .9999206 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .9999475, .0000000 .0000000 .0000000 .0000000 .0000000 1 .28 .29 .9999655, .0000000 .0000000 .0000000 .0000000 .0000000 j .29 .30 .9999775- .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .9999854 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .9999906 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .9999939 .0000000 .0000000 .0000000 .0000000 .0000001 .33 .34 .9999961 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 .9999976 .0000000 .0000000 .0000000 .0000000 .0000003 .35 •36 .9999985^- .0600000 .0000000 .0000000 .0000001 .0000005- .36 .37 .9999990 .0000000 .0000000 .0000000 .0000001 .0000009 .37 .38 .9999994 .0000000 .0000000 .0000000 .0000002 .0000015, .38 .39 .9999996 .0000000 .0000000 .0000000 .0000004 .0000026 .39 .4o .9999998 .0000000 .0000000 .0000001 .0000007 .0000045, .40 .41 .9999999 .0.000000 .0000000 .0000001 .0000012 .0000077 .41 .42 .9999999 .0000000 .0000000 .0000003 .0000021 .0000127 .42 .43 1.0000000 .0000000 .0000000 .0000005- .0000035- .0000208 .43 .44 1.0000000 .0000000 .0000001 .0000008 .0000058 .0000335, .44 .45 1.0000000 .0000000 .0000002 .0000014 .0000096 .0000532 .45 .46 1.0000000 .0000000 .00.00003 .0000024 .0000157 .0000833 .46 .47 1.0000000 .0000000 .0000005- .0000040 .0000252 .0001287 .47 .48 1.0000000 .0000001 .0000008 .0000065, .0000398 .0001962 .48 • 49 1.0000000 .0000001 .0000014 .0000106 .0000622 .0002953 .49 • 50 1.0000000 .0000002 .0000023 .0000170 .0000961 .0004390 .50 274 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=31 r=24 n=31 r-23 n=31 r=22 n=31 r=21 n=31 r=20 n=31 r=19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .OOOOOQO .0000000 .0000000 .08 • 09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000002 .0000013 .21 .22 .0000000 .0000000 .0000000 .0000001 .000000^- .0000027 .22 .23 .0000000 .0000000 .0000000 .0000001 .0000010 .0000055, .23 .24 .0000000 .0000000 .0000000 .0000003 .0000020 .0000108 .24 .25 .0000000 .0000000 .0000001 .0000007 .0000039 .0000202 .25 . 26 .0000000 .0000000 .0000002 .0000013 .0000075- .0000367 • 26 .27 .0000000 .0000001 .0000004 .0000026 .0000139 .0000646 •27 .28 .0000000 .0000001 .0000008 .0000049 .0000249 .0001108 .28 .29 .0000000 .0000003 .0000016 .0000090 .0000437 .0001850, .29 .30 .0000001 .0000005- .0000031 .0000162 .0000745, .0003016 .30 • 3l .0000001 .0000009 .0000056 .0000282 .0001242 .0004803 .31 . 32 .0000003 .0000018 .0000099 .0000479 .0002022 .0007487 .32 • 33 .0000005, .0000032 .0000172 .0000798 .0003224 .0011432 • 33 .34 .00^0010 .0000057 .0000293 .0001301 .0005036 .0017120 .34 .35 .0000017 .0000099 .0000488 .0002079 .0007717 .0025169 .35 •36 .0000031 .0000169 .0000798 .0003259 .0011611 .0036356 .36 .37 .0000053 .0000283 .0001280 .0005018 .0017166 .0051642 .37 .38 .0000091 .0000464 .0002017 .0007593 .0024960 .0072185, .38 .39 .0000153 .0000748 .0003124 .0011300 .0035716 .0099362 .39 .40 .0000253 .0001185, •0004759 .0016554 .0050330 .0134769 .40 .4l .0000410 .0001848 .0007138 .0023883 .0069886 .0180220 .41 .42 .0000654 .0002838 .0010544 .0033956 .0095677 .0237734 .42 .43 .0001029 .0004293 .0015351 .0047599 .0129207 .0309505- .43 .44 .0001595- .0006402 .0022039 .0065821 .0172202 .0397858 .44 .45 .0002436 .0009415- .0031214 .0089828 .0226595, .0505194 .45 .46 .0003670 .0013661 .0043632 .0121037 .0294509' .0633911 • 46 .47 .0005457 .0019565, .0060222 .0161084 .0378220 .0786314 .47 .48 .0008011 .0027671 .0082100 .0211822 .0480111 .0964522 .48 .49 .0011614 .0038658 .0110593 .0275308 .0602600 .1170351 .49 • 50 .0016634 .0053369 .0147247 .0353778 .0748064 .1405208 .50 275 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q ii-s p n-31 r=l8 n=31 r=17 n=31 r = l6 n=31 r-15 n=3l r-14 n=31 r=13 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000005, .0000036 .10 .11 .0000000 .0000000 .0000000 .0000002 .0000016 .0000104 .11 .12 .0000000 .0000000 .0000001 .0000007 .0000046 .0000267 .12 .13 .0000000 .0000000 .0000003 .0000019 .0000117 .0000627 .13 .14 .0000000 .0000001 .0000008 .0000050- .0000277 .0001361 .14 .15 .0000000 .0000003 .0000020 .0000118 .0000607 .0002760 .15 .16 .0000001 .0000008 .0000049 .0000261 .0001248 .0005275- .16 .17 .0000003 .0000019 .0000109 .0000545- .0002425- .0009564 .17 .18 .0000007 .0000043 .0000229 .0001076 .0004482 .0016549 .18 .19 .0000016 .0000093 .0000460 .0002027 .0007920 .0027460 .19 .20 .0000036 .0000189 .0000882 .0005654 .0013437 .0043875- .20 .21 .0000074 .0000368 .0001620 .0006332 .0021974 .0067739 .21 .22 .0000146 .0000688 .0002867 .0010589 .0034748 .0101367 .22 .23 .0000279 .0001243 .0004898 .0017135- .0053282 .0147405- .23 .24 .0000514 .0002168 .0008104 .0026901 .0079422 .0208779 .24 .25 .0000915- .0003665, .0013016 .0041069 .0115328 .0288598 .25 .26 .0001580 .0006019 .0020340 .0061097 .0163453 .0330035- • 26 .27 .0002651 .0009622 .0030980 .0088726 .0226487 .0516182 .27 .28 .0004335 .0014996 .0046072 .0125980 .0307285, .0669895, .28 .29 .0006907 .0022827 .0066999 .0175144 .0408763 .0853624 .29 .30 .0010758 .0033984 .0095404 .0238719 .0535778 .1069256 .30 • 3l .0016390 .0049547 .0133190 .0319361 .0684992 .1317967 .31 • 32 .0024458 .0070826 .0182496 .0419794 .0864729 .1600107 .32 • 33 .0035789 .0099370 .0245671 .0542707 .1074830 .1915118 .33 .34 .0051404 .0136970 .0325216 .0690633 .1316521 .2261489 .34 • 35 .0072539 .0185645, .0423708 .0865825- .1590302 .2636769 .35 • 36 .0100652 .0247615, .0543718 .1070122 .1895855- .3037609 .36 • 37 .0137436 .0325256 .0687698 .1304829 .2231996 .3459867 .37 .38 .0184800 .0421038 .0857871 .1570599 .2596662 .3898742 .38 .39 .0244858 .0537449 .1056111 .1867350- .2986934 .4348935- .39 .40 .0319886 .0676898 .1283817 .2194197 .3399111 .4804844 .40 .41 .0412272 .0841610 .1541813 .2549424 .3828814 .5260761 .41 .42 .0524450- .1033516 .1830246 .2930492 .4271128 .5711071 .42 .43 ti 1. .0658810 .1254139 .2148516 .3554086 .4720764 .6150441 .43 .44 .0817611 .1504478 .2495232 .3756191 .5172242 .6573989 .44 .45 i. r .1002864 .1784915- .2868201 .4192217 .5620078 .6977427 .45 .46 .1216229 .2095151 .3264454 .4637136 .6058969 .7357164 • 46 .47 )| o .1458901 .2434049 .3680302 .5085652 .6483966 .7710383 .47 • 4o .1731506 .2799804 .4111438 .5552374 .6890622 .8035072 .48 • 49 CT r\ .2034010 .3189751 .4555054 .5972003 .7275119 .8330022 .49 • 50 .2365648 .3600501 .5000000 .6399499 .7634352 .8594792 .50 276 BINOMIAL DISTRIBUTION Table E - Partial Sums n L s-r s q n-s p n=31 r-12 n-51 r-11 n-51 r-10 n=31 r-= 9 n=31 r- 8 n=31 r= 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000001 .0000022 .02 .03 .0000000 .0000000 .0000000 .0000002 .0000028 .0000305- .03 .04 .0000000 .0000000 .0000002 .0000024 .0000226 .0001843 .04 .05 .0000000 .0000002 .0000016 .0000144 .0001091 .0007089 • 05 .06 .0000001 .0000010 .0000085 .0000604 .0003797 .0020470 .06 .07 .0000006 .0000045- .0000518 .0001966 .0010534 .00^8480 .07 .08 .0000025 .0000160 .0000987 .0005308 .0024755- .0099301 .08 .09 .0000077 .0000480 .0002614 .0012425 .0051229 .0182019 .09 .10 .0000227 .0001256 .0006109 .0025962 .0095879 .0305631 .10 .11 .0000537 .0002936 .0012891 .0049502 .0165411 .0478015- .11 .12 .0001576 .0006255, .0024999 .0087480 .0266770 .0705037 .12 .13 .0002959 .0012524 .0045152 .0145016 .0406531 .0989910 .13 .14 .0005917 .0022709 .OO76745 .0227616 .0590272 .1332854 .14 .15 .0011109 .0059497 .0125757 .0540792 .0822044 .1731075- .15 .16 .0019740 .0065307 .0190615, .0489646 .1103960 .2179009 .16 .17 .0055412 .0105275- .0281941 .0678448 .1435968 .2668796 .17 .18 .0054161 .0156966 .0402285- .0910268 .1815804 .3190876 .'18 .19 .0084456 .0250248 .0555812 .1186689 .2239114 .3734665- • 19 .20 .0127177 .0527104 .0745999 .1507625- .2699735, .4289216 .20 .21 .0185557 .0451425 .0975357 .1871262 .3190078 .4843832 .21 .22 .0262975 .0606755, .1245207 .2274118 .3701578 ,5388577 .22 .23 .0565005- .0796079 .I555527 .2711210 .4225176 .5914675- .23 .24 .0489055 .1021575- .1904884 .5176515 .4751781 .6414774 .24 .25 .0644257 .1284444 .2290452 .5662281 .5272690 .6883098 .25 .26 .0851273 .1584772 .2708120 .4161405 .5779942 .7315478 .26 .27 .1052089 .1921450, .5152661 .4665766 .6266587 .7709302 .27 .28 .1307871 .2292176 .5617974 .5167609 .6726869 .8063377 .28 .29 .1598828 .2695506 .4097554 .5659650 .7156323 .8377763 • 29 .30 .1924141 .5120981 .4585785, .6155245- .7551794 .8653555- .30 .31 .2281936 .5569501 .5070259 .6588785 .7911386 .8892672 .31 .32 .2669308 .4052559 .5549945- .7015621 .8234362 .9097638 .32 .33 .5082407 .4504579 .6016654 .7412241 .8521004 .9271380 .33 .34 .5516571 .4978572 .6464741 .7776245 .8772448 .9417051 .34 .35 .5966489 .5448178 .6889549 .8106291 .8990507 .9537879 .35 .36 .4426409 .5907795, .7287288 .8402029 .9177501 .9637040 .36 .37 .4890546 .6551754 .7655171 .8663959 .9336089 .9717568 .37 .38 .5352310 .6775277 .7991596 .8893303 .9469120 .9782284 .38 .39 .5806514 .7174597 .8295092 .9091856 .9579508 .9833754 .39 .4o .6247570 .7546025 .8566256 .9261836 .9670123 .9874267 .40 .41 .6670649 .7887967 .8805551 .9405744 .9743711 .9905825- .41 .42 .7071618 .8198928 .9014575- .9526235, .9802831 .9930152 .42 .43 .7447124 .8478459 .9194536 .9626010 .9842318 .9948710 .43 .44 .7794649 .8726790 .9348217 .9707720 .9886762 .9962718 .44 .45 .8112520 .8944921 .9477834 .9773897 .9915493 .9973180 .45 .415 .8599879 .9154513 .9585921 .9826898 .9937593 .9980908 .46 .47 .8656655 .9206862 .9675032 .9868871 .9954404 .9986555, .47 .48 .8885370 .9454764 .9747658 .9901735- .9967050- .9990636 .48 .49 .9081258 .9550597 .9806167 .9927171 .99764-54 .9993551 .49 • 50 .9251936. .9646222 .9852753 .9946631 .9983366 .9995610 .50 277 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8q n-s p n*3l r = 6 n=3l r= 5 n=31 r= 4 n=31 r= 3 n-31 r=> 2 n=31 r= 1 p .01 .02 .03 .04 .03 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 .30 .31 .32 .33 .34 .35 • 36 .37 .38 .39 .4o .41 .42 .43 .44 .43 .46 .47 .48 .49 .50 .0000006 .0000306 .0002811 .0012712 .0039001 .0093608 .OI89638 .0339338 .0552302 .083420.6 .1186205, .1604945- .2083073 .2610096 .3173403 .5759551 .435414-3 .4944857 .5519880 .6069434 .6585786 .7063307 .7498396 .7889294 .8235840 .8539183 .8801490 .9025663 .9215080 .9373572 .9504235- .9611286 .9637956 .9767412 .9822512 .9865789 .9899441 .9925350, .9945101 .9960007 .9971145- .9979383 .9985415, .,9989787 .9992921 .9995145, .9996707 .9997790 .9998534 .9999039 .0000137 .0003522 .0021513 .0072909 .0178923 .0358033 .0622419 .0976361 .1416295- .1932015- .2508490 .3127865, .3771351 .4420691 .5059526 .5673952 .6253019 .6788786 .7276185, .7712712 .8098031 .8433540 .8721940 .8966829 .9172355- .9342918 .9482941 .9596690 .9688154 .9760966 .9818363 .9863172 .9897821 .9924361 .9944498 .9959634 .9970904 -.9979217 .9985291 .9989686 .9992836 .9995072 .9996644 .9997737 .9998489 .9992002 .9999348 .9999579 .9999731 .9999830 .0002575, .0032700 .0133496 .0340450, .0671240 .1125191 .1687198 .2332984 .3034060 .3761626 .4489692 .5196029 .5863617 .6480363 .7038790 .7555590 .7969867 .834436*! .8662742 .8929956 .9151556 .9555189 .9480498 .9598716 .9692640 .9766540 .9824134 .9868608 .990‘2638 .9928*144 .9947842 .9962293 .9972967 .9280780 .9986451 .9990550 .9995458 .9995495 .9996952 .9997930 .9998617 .9999085- .9999400 .9999610 .9999750- .9992841 .9999900 .9999938 .9999962 .9999977 .0036460 .0236944 .0650748 .1257735, .2007550 .2842163 .3708105, .4561721 .5370831 .6114144 .6779652 .7362676 .7863934 .8287831 .8641051 .8931468 .9167332 .9356724 .9507187 .9625523 .9717705- .9788855- .9843286 .9884570 .9915620 .9938781 .9955918 .9968496 .9977655- .9984271 .9989013 .9992384 .9994762 .9996426 .9997581 .9998376 .9998919 .9999286 .9999533 .9999697 .9999805, .9999876 .9999922 .9999951 .9999970 .9999982 .9999989 .9999993 .9999996 .9999998 .0383895, .1272251 .2380866 .3535132 .4634031 .5624843 .6485608 .7213149 .7815040 .8304354 .8696327 .9006340 .9248769 .9436418 .9580308 .9689682 .9772138 .9833814 .9879600 .9913344 .9938037 .9955980 .9968929 .9978212 .998*1821 .9989494 .9992777 .9995067 .9996654 .9997746 .9998492 .9998999 .9999340 .9999568 .9999719 .9999819 .9999884 .9999927 .9999954 .9999971 .9999982 .9999989 .9999993 .9999996 .9999998 .9999999 .9999999 1.0000000 1.0000000 1.0000000 .2676966 .4654254 .6110231 .7178967 .7960932 .8531197 .8945683 .9245911 .9462618 .9618480 .9730170 .9809908 .9866618 .9906792 .9935139 .9955057 .9968996 .9978707 .9985444 .9990096 .9993294 .9995482 .9996972 .9997981 .9998661 .99.99117 .9999421 .9999622 .9999755, .9999842 .9999899 .9999936 .9999959 .9999575- .9999984 .9999990 .9999994 .9999996 .9099998 .9999999 .9999999 1.0000000 1.0000000 l.o'oooooo 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 • 16 •it .18 .19 .20 .21 .22 .23 .24 .25 .26 :3 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 278 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=32 r =30 n =32 r =29 n=32 r =28 n =32 r =27 n=32 r =26 n=32 r=25 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0009000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 • 09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .‘18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .oooooco .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .'0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 -29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .31 .32 .0000000 .0000000 .0000000 .0000900 .0000000 .0000001 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000002 .0000014 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000004 .0000025, .37 .38 .0000000 .0000000 .0000000 .0000001 .0000007 .0000044 .38 .39 .0000000 .0000000 .0000000 .0000002 .0000013 .0000076 .39 . 4 o .0000000 .0000000 .0000000 .0000003 .0000022 .0000128 .40 .41 .0000000 .0000000 .0000001 .0000006 .0000038 .0000213 .41 .42 .0000000 .0000000 .0000001 .0000010 .0000065, .0000,3.49 .42 .43 .0000000 .0000000 .0000002 .0000018 .0000109 .0000561 .43 .44 .0000000 .0000000 .0000004 .0000030 .0000180 .0000889 .44 .45 .0000000 .0000001 .0000007 .0000051 .0000293 .0001389 .45 .46 .0000000 .0000001 . 0000012 .0000085- .0000468 .0002138 .46 .47 .0000000 .0000003 .0000021 .0000139 .0000738 .0003247 .47 .48 .0000000 .0000004 .0000036 .0000225, .0001149 . 0004865 , .48 .49 .0000001 .0000008 .0000059 .0000359 •0001764 .0007197 .49 .50 .'0000C01 .0000013 .0000097 .0000565, .0002675, .0010512 .50 832939 0 - 50 - 19 279 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z 3 m T V * 8 p n*32 r~24 n=32 r =23 n=32 r=22 n=32 r =21 n=32 r=20 n-32 r =19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0006000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .‘18 .19 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .19 .20 .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .20 .21 .0000000 .0000000 .0000000 .0000001 .0000004 .0000026 .21 .22 .0000000 .0000000 .0000000 .0000002 .0000010 .0000054 .22 .23 .0000000 .0000000 .0000000 .0000003 .0000020 .0000107 .23 .24 .0000000 .0000000 .0000031 .0000007 .0000041 .0000205, .24 .25 .0000000 .0000000 .0000002 .0000015- .0000080 .0000580 .25 .26 .0000000 .0000001 .0000005, .0000029 .0000151 .00.00682 • 26 .27 .0000000 .0000002 .0000010 .0000056 .0000276 .0001188 .27 .28 .0000000 .0000003 .0000020 .0000105, .0000490 .0002011 .28 .29 .0000001 .0000007 .0000038 .0000191 .0000847 .0003517 .29 .30 .0000002 .0000013 .0000070 .0000357 .0001426 .0005558 .30 .31 .0000004 .0000024 .00001 26 .0000579 .0002346 .0008395, .31 .32 .0000007 .0000044 .0000221 .0000975 .0003771 .0012918 .32 .33 .0000014 .0000078 .0000379 .0001599 .0005935 .0019470 .33 .34 .0000026 .0000137 .0000636 .0002571 .0009145- .0028777 .34 .35 .oooo046 .0000236 .0001045, .0004052 .0015825, .0041748 .35 .36 .0000081 .0000396 .0001684 .0006266 .0020519 .0059503 .36 .37 .0000138 .0000652 .0002663 .0009515 .0029922 .0083385, .37 .38 .0000233 .0001054 .0004136 .0014192 .0042905, .0114979 .38 .39 .0000385- .0001674 .•0006313 .0020822 .0060558 .0156106 .39 .4o .0000626 .0002615- ;0009477 .0050064 .0084105, .0208816 .40 .41 .0001000 .0004017 .0014003 .0042744 .0115125 .0275361 .41 .42 .0001572 .0006075- .0020377 .0059878 .0155541 .0358154 .42 .43 .0002433 .0009048 .0029218 .0082691 .0206755, .0459706 .43 .44 .0003710 .0013282 .0041303 .0112629 .0271491 .0582549 .44 .43 .0005576 .0019224 .0057590 .0151575 .0551965- .0729146 .45 .46 .0008266 .0027448 .0079238 .0200854 .0450654 .0901777 .46 .47 .0012088 .0038674 .0038674 .0263158 .0570025- .1102430 .47 .48 .00i7448 .0053797 .0144366 .0540601 .0712628 .1332674 .48 .49 .0024866 .0073906 .0191303 .0455681 .0880798 .1593544 .49 • 50 .0035002 .0100308 .0250512 .0550921 .1076656 .1885428 .50 . ua 280 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-a p n=32 r-18 n-32 r-17 n=32 r =16 n=32 r=15 n-32 r=14 n=32 r=13 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0006000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .6000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 07 .08 .0000000 .0000000 .0000000 .OOOOOO0 .0000001 .0000004 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000002 .0000017 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000008 .0000055, .10 .11 .0000000 .0000000 .0000000 .0000004 .0000026 .0000157 .11 .12 .0000000 .0000000 .0000002 .0000012 .0000072 .0000400 .12 .13 .0000000 .0000001 .0000005- .0000032 .0000183 .0000930 .13 .14 .0000000 .0000002 .0000014 .0000082 .0000428 .0001999 .14 .15 .0000001 .0000006 .0000035- .0000191 .0000930 .0004012 .15 .16 .0000002 .0000014 .0000083 .0000419 .0001892 .0007589 .16 .17 .0000006 .0000034 .0000183 .0000865- .0003639 .0013618 .17 .18 .0000014 .0000077 .0000382 .0001689 .0006654 .0023319 .‘18 .19 .0000031 .0000162 .0000758 .0003146 .0011632 .0038289 .19 .20 .0000066 .0000327 .0001436 .0005610 .0019525- .0060535, .20 .21 .0000136 .0000631 .0002610 .0009617 .0031585- *0092477 .21 .22 .0000266 .0001168 .0004566 .0015904 .0049404 .0136920 .22 .23 .0000501 .0002083 .0007712 .0025449 .0074930 .0196993 .23 .24 .0000911 .0003592 .0012615- .0039506 .0110468 .0276045- .24 .25 .0001602 .0006003 .0020030 .0059634 .0158646 .0377513 .25 .26 .0002734 .0009743 .0030937 .0087710 .0222364 .0504756 .26 .27 .0004533 .0015388 .0046571 .0125922 .030^705- .0660877 .27 .28 .0007319 .0023697 .0068446 .0176746 .0408816 .0848528 .28 .29 .0011524 .0035637 .0098361 .0242893 .0537773 .1069733 .29 .30 .0017726 .0052410 .0138399 .0327237 .0694421 .1325721 .30 .31 .0026669 .0075476 .0190903 .0432707 .0881214 .1616797 .31 .32 .0039296 .0106560 .0258431 .0562173 .1100050- .1942251 .32 • 33 .0056771 .0147650- .0343693 .0718308 .1352125- .2300325 .33 .34 .0080497 .0200974 .0449458 .0903435, .1637810 .2688217 .34 .35 .0112126 .0268967 .0578449 .1119392 .1956565, .3102171 .35 .36 .0155559 .0354212 .0733223 .1367386 .2306886 .3537577 .36 .37 .0206929 •0459359 .0916036 .1647881 .2686309 .3989144 .37 .38 .0274571 .0587035- .1128708 .1960503 .3091452 .4451098 .38 .39 .0358969 .0739727 .1372494 .2303988 .3518114 .4917391 .39 .40 .0462691 .0919666 ,1647969 .2676162 .3961404 .5381934 .40 .41 .0588301 .1128693 .1954934 .3073974 .4415912 .5838815- .41 .42 .0738258 .1368143 .2292350- .3493559 .4875904 .6282500, .42 .43 .0914802 .1638721 .2658311 .3930357 .5335525, .6708014 .43 .44 .1119832 .194,0409 .3050054 .4379253 .5789011 .7111080 .44 .45 .1354787 .2272394 .3464008 .4834754 .6230885- .7488219 .45 .46 .1620524 .2633019 .3895888 .5291179 .6656139 .7836813 .46 .47 .1917220 .3019788 .4340817 .5742859 .7060382 .8155121 .47 .48 .2244289 .3429388 .4793487 .6184333 .7439958 .8442255, .48 .49 .2600323 .3857770 .5248339 .6610529 .7792021 .8698128 .49 .50 .2983074 .4300230, .5699750- .7016926 .8114572 .8923364 .50 281 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n=32 r=l2 n=52 r=11 n=32 r *10 n=32 r- 9 n=32 r = 8 n=32 r = 7 j P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000002 .0000028 .02 .03 .0000000 .0000000 .0000000 .0000003 .OOOOO36 .0000380 .03 .04 .0000000 .0000000 .0000003 .0000032 .0000291 .0002278 .04 .05 .0000000 .0000002 .0000023 .0000191 .0001391 .0008685- .05 .06 .0000002 .0000014 .0000114 .0000795, .0004797 .0024858 .06 .07 .0000008 .0000064 .0000433 .0002566 .0013190 .0058361 .07 .08 .0000034 .0000226 .0001332 .0006864 .0030719 .0118504 .08 .09 .0000114 .0000672 .0003497 .0015915. .OO63OOO .0215345- .09 .10 .0000330 .0001741 .0008094 .003295^ .OII6855- .0358489 .10 .11 .0000846 .0004051 .0016918 .0062252 .0199797 .0555916 .11 .12 .0001961 .0008505- .0032497 .0108994 .0319362 .0813026 .12 .13 .0004176 .0016591 .0058135- .0179013 .0482370 .1132021 .13 .14 .0008268 .0050274 .0097865, .0278387 .0694234 .1511668 .14 .15 .0015367 .0052136 .0156312 .0412980 .0958398 .1947424 .15 .16 .0027031 .0085356 .0238460 .0587936 .1275968 .2431861 .16 .17 .0045289 .0133648 .0349348 .0807227 .1645549 .2955305- .17 .18 .0072666 .0201123 .0493722 .1073265- .2063317 .3506593 .18 .19 .0112157 .0292105- .0675678 .1386650- .2523268 .4073856 .19 .20 .0167163 .0410883 .0898324 .1746047 .3017631 .4645259 .20 .21 .0241375 .0561449 .1163497 .2148213 .3537366 .5209642 .21 .22 .0338605 .0747215- .1471568 .2588159 .4072718 .5757018 .22 .23 .0462612 .0970752 .1821334 .3059422 .4613761 .6278931 .23 .24 .0616859 .1233569 .2210027 .3554426 .5150899 .6768659 .24 .25 .0804304 .1555946 .2633410 .4064883 .5675292 .7221283 .25 .26 .1027182 .1876842 .3085973 .4582223 .6179181 .7633642 • 26 .27 .1286817 .2253877 .3561199 .5097987 .6656120 .8004193 .27 .28 .1583476 .266-3399 .4051872 .5604202 .7101091 .8332817 .28 .29 .1916284 .3100622 .4550414 ' .6093671 .7510541 .8620585- • 29 .30 .2283193 .5559823 .5049223 .6560209 .7882322 .8869500- .30 .31 .2681019 .4034592 .5540988 .6998790 .8215585- .9082256 .31 .32 .3105542 .4518109 .6018961 .7405618 ..8510610 .9262005, .32 .33 .3551658 .5003423 .6477184 .7778133 ..8768628 .9412150- .33 .34 .4013583 .5483737 .6910652 .8114953 .8991613 .9536174 .34 .35 .4485081 .5952658 .7315409 .8415767 .9182087 .9637501 .35 .36 .4959708 .6404413 .7688595- .8681199 .9342935, .9719390 .36 .37 .5431067 .6834018 .802842,3 .8912647 .9477236 .9784861 .37 .38 .5893037 .7237402 .8334121 .9112114 .9588122 .9836649 .38 .39 .6339988 .7611468 .8605830 .9282041 .9678664 .9877179 .39 .4o .6766951 .7954108 .8844476 .9425151 .9751781 .9908563 .46 .41 .7169749 .8264176 .9051630 .9544310 .9810177 .9932606 .41 .42 .7545088 .8541416 .9229356 .9642405, .9856306 .9950829 .42 .43 .7890590 .8786361 .9380070 .9722248 .9892342 .9964493 .43 .44 .8204791 .9000218 .9506399 .9786498 .9920183 .9974628 .44 .45 .8487100 .9184732 .9611063 .9837615, .9941452 .9982063 .45 .46 .8737719 .9342053 .9696771 .9877818 .9957518 .9987457 .46 .47 .8957541 .9474602 .9766136 .9909072 .0 969515, .9991326 .47 .48 .9148039 .9584953 .9821615- .9933086 . 9978371 •9994070 .48 .49 .9311156 .9675725- .9865459 .9951320 .9 984832 •9995993 .49 .50 .9449079 .9749488 .9899692 .9964998 .9 989488 .9997325- .50 282 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n ~ S p n-32 r= 6 n=32 r= 5 n=32 r- 4 n=32 r= 3 n=32 r= 2 n=32 r- 1 p .01 .0000007 .0000161 .0002875- .0039934 .0406826 .2750197 .01 .02 .0000371 .0004106 .OO36785- .0257650, .1339891 .4761169 .02 .03 .0003372 .0024873 .0149013 .0702651 .2492747 .6226924 .03 .04 .0015120 .OO836H .0377142 .1348831 .3680885, .7291808 .04 .03 .0045997 .0203539 .0738055- .2138855, .4800376 .8062885, .05 .06 .0109474 .0404062 .1228209 .3009124 .5799224 .8619325, .06 .07 .0219933 .0696954 .1828662 .3902531 .6657814 .9019485- .07 .08 .0390300 .1084891 .2511283 .4773835- .7375770 .9306238 .08 .09 .0630061 .1561894 .3244369 .5590810 .7963322 .9510982 .09 .10 .0943987 .2114983 .3996941 .6333165- .8435766 .9656632 .10 .11 .1331656 .2726422 .4741587 .6990486 .8810050- .9759851 .11 .12 .1787695, .3376045- .5456026 .7559916 .9102768 .9832719 .12 .13 .2302547 .4043328 .6123658 .8043962 .9329089 .9883958 .13 .14 .2863579 .4709046 .6733409 .8448633 .9502271 .9919841 .14 .15 .3456322 .5356415, .7279129 .8781940 .9633533 .9944868 .15 .16 . 4065671 .5971782 .7758762 .9052782 .9732142 .9962248 .16 .17 .4676952 .6544883 .8173436 .9270149 .9805604 .9974266 .17 .18 . 5276764 .7068790 .8526589 .9442600 .9859894 .9982540 .‘18 .19 .5853578 .7539631 .8823187 .9577945, .9899711 .9988210 .19 .20 .6398090 .7956161 .9069069 .9683087 .9928695- .9992077 .20 .21 .6903357 .8319267 .9270431 .9763974 .9949641 .9994703 .21 .22 .7364758 .8631463 .9433435, .9825622 .9964670 .9996476 .22 .23 .7779811 .8896408 .9563939 .9872184 .9975379 .9997668 .23 .24 .8147903 .9118482 .9667321 .9907044 .9982956 .9998465, .24 .25 .8469969 .9302426 .9748385, .9932920 .9988281 .9998995> .25 .26 .8748154 .9453060 .9811322 .9951966 .9991996 •9999346 .26 .27 .8985482 .9575064 .9859716 .9965870 .9994571 .9999577 .27 .28 .9185551 .9672827 .9896576 .9975936 .9996343 .9999728 .28 .29 .9352272 .9750354 .9924393 .9983164 .9997553 .9999826 .29 .30 .9489650, .9811209 .9945192 .9988313 .9998375- .9999890 .30 .31 .9601614 .9858501 .9960605- .9991951 .9998928 . 9999930 .31 .32 .9691890 .9894891 .9971922 .9994501 .9999299 .9999956 .32 .33 .9763912 .9922619 .9980159 .9996273 .9999544 .9999973 .33 .34 .35 .9820774 .9865207 .9943543 .9959181 .9986100 -9990346 .9997494 .9998329 .9999706 .9999812 .9999983 .9999990 .34 .35 .36 .9899573 .9970756 .9993354 .9998896 .9999881 .9999994 .36 .37 .9925882 .9979242 .9995466 .9999276 .9999925- .9999996 .37 .38 .9945820 .9985402 .9996934 .9999530 .9999953 .9999998 .38 .39 .9960775- .9989831 .9997946 .9999697 •9999971 .9999999 .39 .40 .9971879 .9992984 .9998637 .9999807 .9999982 .9999999 .40 .41 .9980038 .9995206 .9999104 .9999878 .9999989 1.0000000 .41 .42 .9935973 .9996757 .9999417 .9999924 .9999994 1.0000000 .42 .43 .9990243 .9997829 .9999624 .9999953 .9999996 1.0000000 .43 .44 .9993285- .9998561 .9999760 •9999971 .9999998 1.0000000 .44 .45 .9995427 .9999057 .9999849 .9999982 .9999999 1.0000000 .45 .46 .9996920 .9999388 .9999906 .9999989 .9999999 1.0000000 .46 .47 .9997948 .9999608 .9999942 .9999994 1.0000000 1.0000000 .47 .48 .9998649 •9999751 •9999964 .9999996 1.0000000 1.0000000 .48 .49 .9999121 .9999844 .9999979 .9999998 1.0000000 1.0000000 .49 .50 .9999435- .9999903 .9999987 .9999939 1.0000000 1.0000000 .50 2Q3 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n - 8 p n=35 r=31 n=33 r=30 n=33 r=29 n=33 r=28 n=33 r=27 n=33 r=26 p oOl .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .01 .02 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .02 .03 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .03 .04 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .04 .03 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .05 .06 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .06 .07 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .07 .08 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .08 .09 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .09 .10 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .10 .11 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .11 .12 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .12 .13 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .13 .14 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .14 .15 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .15 .16 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .16 .17 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .17 .18 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .19 .20 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .21 .22 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .22 .23 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .23 .24 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .24 .23 .0000000 .0000000 .0000000 . 0 O 0 O 0 O 0 .ooooooo .ooooooo .25 .26 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .26 .27 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .27 .28 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .28 .29 .0000000 .0000000 .0000000 .0000000 .ooooooo .ooooooo .29 .30 .0000000 .0000000 .0000000 .OOOOOOO .ooooooo .ooooooo .30 .31 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .31 .32 .0000000 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .32 • 33 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000001 .33 .34 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000002 .34 .35 .0000000 .0000000 .0000000 .ooooooo .ooooooo .0000003 .35 • 36 .0000000 .0000000 .0000000 .ooooooo .0000001 .0000006 .36 .37 .0000000 .0000000 .0000000 .ooooooo .0000002 .0000012 .37 .38 .0000000 .0000000 .0000000 .ooooooo .0000003 .0000021 .38 .39 .0000000 .0000000 .0000000 .0000001 .0000006 .0000037 .39 .40 .0000000 .0000000 .0000000 .0000001 .0000011 .0000065- .40 .41 .0000000 .0000000 .0000000 .0000003 .0000019 .0000110 .41 .42 .0000000 .0000000 .0000001 .0000005, .0000033 .0000184 .42 .43 .0000000 .0000000 .0000001 .0000009 .0000057 .0000304 .43 .44 .0000000 .0000000 .0000002 .0000016 .0000096 .0000492 .44 .45 .0000000 .0000000 .0000004 .0000027 .0000160 .0000786 .45 .46 .0000000 .0000001 .0000006 .0000046 .0000261 .0001236 .46 .47 .0000000 .0000001 .0000011 .0000077 .0000421 .0001917 .47 .48 .0000000 .0000002 .0000019 .0000127 .0000668 .0002933 .48 .49 .0000000 .0000004 .0000033 .0000206 .0001048 .0004426 .49 • 50 .0000001 .0000007 .0000055- .0000331 .0001620 .0006594 .50 284 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n =33 r =25 n-33 r =24 n =33 r=23 n-33 r=22 n=33 r=21 n =33 r-20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 *0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 *0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 *0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 • 15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 -.17 . 18 .0000000 .0000000 .0000000 .0Q00000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .20 • 21 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000003 .0000019 .22 .23 .0000000 .0000000 .0000000 .0000001 .0000007 .0000040 .23 .24 .0000000 .0000000 .0000000 .0000003 .0000015, .0000080 .24 .25 .0000000 .0000000 .0000001 .0000006 .0000031 .0000155- .25 .26 .0000000 .0000000 .0000002 .0000011 .0000061 .0000289 .26 .27 .0000000 .0000001 .0000004 .0000023 .0000116 .0000522 •27 .28 .0000000 . D000001 .0000008 .0000044 .0000213 ■ .0000916 .28 .29 .0000000 .0000003 .0000016 .0000082 .0000381 .0001563 .29 .30 .0000001 .0000005, .0000030 .0000150- .0000664 .0002600 .30 • 3i .0000002 .0000010 .0000055, .0000266 .0001127 .0004221 .31 .32 .0000003 .0000019 .0000100 .0000461 .0001868 .0006698 .32 . 33 .0000006 .0000035, .0000177 .0000781 .0003029 .0010400 .33 .34 .0000011 .0000064 .0000307 .0001294 .0004806 .0015820 .34 • 35 .0000021 .0000112 .0000519 .0002098 .0007473 .0023598 .35 • 36 .0000038 .0000194 .0000860 .0003333 .0011397 .0034553 .36 .37 .0000067 .0000328 .0001396 .0005197 .0017064 .0049703 .37 .38 .0000116 .0000545- .0002225, .0007957 .0025103 .0070293 .38 • 39 .0000196 .0000888 .0003485 .0011971 .0036311 .0097809 .39 .40 .0000327 .0001421 .0005360 .0017712 .0051681 .0133990 .40 .4l .0000536 .0002237 .0008111 .0025787 .0072420 .0180821 .41 .42 .0000862 .0003463 .0012082 .0036968 .0099973 .0240523 .42 .43 .0001366 .0005277 .0017721 .0052211 .0136030 .0315513 .43 .44 .0002130 .0007922 .0025611 .0072686 .0182528 .0408357 .44 .45 .0003273 .0011718 .0036489 .0099792 .0241639 .0521696 .45 .46 .0004957 .0017089 .0051271 .0135172 .0315742 .0658160 .46 .47 .0007402 .0024583 .0071082 .0180717 . 0407375 - .0820255, .47 .48 .0010905- .0034895, .0097270 .0238559 .0519174 .1010250, .48 .49 .0015854 .0048896 .0131431 .0311049 .0653788 .1230043 .49 • 50 .0022757 .0067655 .0175410 .0400717 .0813778 .1481032 .50 285 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST V ’ 8 p n =33 r =19 n =33 r=l 8 n =33 r =17 n =33 r=l 6 n =33 r-15 n =33 r =14 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 i 0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 . 0000 Q 00 .0000000 .0000000 .0000004 .09 .10 . 0000000 .0000000 .0000000 .0000000 .0000002 .0000013 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000006 .0000040 .11 .12 .0000000 .0000000 .0000000 .0000003 .0000019 .0000112 .12 .13 .0000000 .0000000 .0000001 .0000009 .0000052 .0000281 .13 .14 .0000000 .0000001 .0000004 .0000023 .0000130 .0000648 .14 .15 .0000000 .0000002 .0000010 .0000058 .0000302 .0001392 .15 • 16 .0000001 .0000004 .0000025, .0000136 .0000655- .0002804 .16 .17 .0000002 .0000011 .'0000060 .0000299 .0001336 .0005335, •!7 . 18 .0000004 .0000025, .'0000132 .0000617 .0002583 .0009654 .18 .19 .0000010 .0000056 .0000275, .0001212 .0004759 .0016697 .19 .20 .0000023 .0000118 .0000549 .0002271 .0008393 .0027727 .20 .21 .0000049 .0000240 .0001046 .0004081 .0014230 .0044372 .21 .22 .0000100 .0000464 .0001915, .0007060 .0023274 .0068657 .22 .23 .0000197 .0000865- .0003378 .0011792 .0036829 .0103005- .23 .24 .0000374 .0001554 .0005758 .0019069 .0056537 .0150206 .24 .25 .0000686 .0002703 .0009510 .0029931 .0084387 .0213362 .25 • 26 .0001216 .0004556 .0015253 .0045698 .0122720 .0295786 .26 .27 .0002091 .0007464 .0023808 .0067996 .0174193 .0400871 •27 .28 .0003497 .0011905- .0036227 .0098770 .0241725, .0531935, .28 .29 .0005697 .0018517 .0053827 . 0140275 , .0328408 .0692041 .29 .30 .0009054 .0028131 .0078207 .0195050, .0437392 .0883811 .30 • 3 l .OOl4o6o .0041799 .0111258 .0265862 .0571744 .1109245- .31 • 32 .0021359 .0060821 .0155159 .0355629 .0734294 .1369554 .32 • 33 .0031779 .0086761 .0212344 .0467316 .0927467 .1665030 .33 .34 .0046362 .0121459 .0285458 .0603810 .1153123 .1994949 .34 .35 .0066380 .0167020 .0377286 .0767779 .1412403 .2357527 .35 .36 . 0093363 . .0225794 .0490656 .0961522 .1705606 .2749955- .36 • 37 .0129097 .0300328 .0628330 .1186819 .2032099 .3168358 .37 .38 .0175624 .0393307 .0792871 .1444790 .2390264 .3608117 .38 • 39 .0235222 .0507465- .0986506 .1735776 .2777497 .4063832 .39 . 4 o .0310366 .0645481 .1210987 .2059246 .•3190259 .4529616 .40 .41 .0403667 .0809862 .1467452 .2413740 .3624169 .4999302 .41 .42 .0517798 .1002809 .1756310 .2796858 .4074144 .5466674 .42 .43 .0655397 .1226087 .2077145- .3205291 . 453^580 .5925696 .43 .44 .0818954 .1480886 .2428653 .3634902 .4999547 .6370721 .44 .45 .1010684 .1767710 .2808620 .4080844 .5463013 .6796685- .45 .46 .1232401 .2086272 .3213939 .4537722 .5919061 .7199249 .46 • 47 J, o .1485381 .2435427 .3640672 .4999777 . 6362095 , .7574909 .47 .48 .1770249 .2813137 .4084156 .5461093 . 6787033 .7921061 .48 • 49 .2086865, .3216472 .4539149 .5915812 .7189460 .8236013 .49 .50 .2434251 .3641662 .5000000 .6358338 .7565749 .8518968 • 50 286 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p r =13 n=33 r=12 n=33 r=11 n=33 r=10 n-33 r= 9 n-33 r- 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000004 .0000046 .03 .04 .0000000 .0000000 .0000000 .0000004 .0000042 .0000370 .04 ♦ 03 .0000000 .0000000 .0000003 .0000031 .0000251 • ooo''756 .05 .06 .0000000 .0000002 .0000020 .0000155, .0001036 .0006001 .06 ♦ 07 .0000001 .0000012 .0000090 .0000582 .0003309 .0016352 • 07 .08 .0000007 .0000049 .0000315- .0001775- .0008772 .0037741 .08 .09 .0000026 .0000164 .0000927 .0004615- .0020153 .0076711 .09 .10 .0000083 .0000471 .0002377 .0010580 .0041344 .0141018 .10 .11 .0000233 .0001196 .0005449 .0021905- .0077382 .0238970 .11 .12 .0000587 .0002746 .0011384 .0041677 .0134239 .0378602 .12 .13 .0001352 .0005790 .0021992 .0073849 .0218449 .0566825- .13 .14 .0002876 .0011349 .0039737 .0123138 .0336606 .0808674 .14 ♦ 15 .0005716 .0020883 .0067762 .0194813 .0494793 .1106752 .15 .16 .0010700 .0036363 .0109853 .0294376 .0698021 .1460911 .16 .17 .0019002 .0060310 .0170317 .0427187 .0949741 .1868208 .17 .18 .0032201 .0095788 .0253791 .0598040 .1251474 .2323106 .18 .19 .0052324 .0146347 .0364984 .0810763 .1602607 .2317880 .19 .20 .0081861 fc0215907 .0508371 .1067868 .2000364 .3343157 .20 .21 .0123745, .0308589 .0687879 .1370288 .2439935, .3888544 .21 .22 .0181291 .0428500- .0906572 .1717218 .2914762 .4443264 .22 .23 .0258085, .0579484 .1166386 .2106095- .3416920 .4996750- .23 .24 .0357840 .0764869 .1467919 .2532683 .3937579 .5539161 .24 .25 .0^84211 .0987215- .1810312 .2991278 .4467486 .6061790 .25 .26 .0640587 .1248094 .2191216 .3474998 .4997432 •6557341 .26 .27 .0829881 .1547923 .2606854 .3976132 .5518683 •7020099 .27 .28 .1054314 .1885855- .3052172 .4486524 .6023331 .7445975- .28 .29 .1315235 .2259742 .3521061 .4997958 .6504563 .7832454 .29 .30 .1612963 .2666182 .4006643 .5502519 .6956843 .8178476 .30 .31 .1946706 .3100627 •4501575- .5992906 .7375996 .8484253 .31 .32 .2314504 .3557563 .4998381 .6462691 .7759216 .8751057 .32 .33 .2713264 .4o3o74o .5489764 .6906497 .8104996 .8980990 .33 .34 .3138842 .4513436 .5968888 .7320114 .8413017 .9176764 .34 .35 .3586189 .4998733 .6429621 .7700534 .8683979 •9341432 .35 .36 .4049544 .5479802 .68667I8 .8045932 .8919424 .9478459 .36 .37 .4522656 .5950159 .7275948 .8355586 .9121545- •9591057 .37 .38 .4999035- .6403896 .7654155, .8629758 .9292997 .9682562 .38 .3-9 .5472204 • 6835865, .7999269 .8869552 .9436724 .9756085- .39 ,4o •5935941 .7^41814 .8310255, .9076746 .9555803 .9814493 .40 .41 .6384498 .7618464 .8587032 .9253629 .9653316 .9660373 .41 .42 .6812787 •7963546 .8830351 .9402837 .9732243 .9896006 .42 .43 .7216522 .8275771 .9041656 .9527206 .9795388 •9923367 .43 .44 .7592313 .8554779 .9222937 .9629643 .9845319 •9944139 .44 .43 .7937715, .8801035- .9376581 •9713011 .9884342 .9959727 .45 .46 .8251229 .9015712 .9505223 ,9780052 .9914480 .59 7 1200 .46 .47 .8532258 .9200560 .9611623 •9833316 •9937480 •9979766 .47 .48 .8781031 .9357758 .9698551 .9875121 .9954823 .9935907 .48 .49 .8998502 .9489785- .9768695- .9907531 .9967740 •9990301 .49 • 50 .9186222 .9599283 .9824590 .9932345, .9977243 •9993406 • 50 287 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=33 r= 7 n=33 r= 6 n=33 r* 5 n=33 r- 4 a=33 r= 3- n=33 r= 2 p .01 .0000000 .0000009 .0000188 .0003245, .0043603 .0430260 .01 .02 .0000035- .0000445, .0004759 .0041202 .0279295- .1408317 .02 .03 .0000470 .0004017 .0028597 .0165622 •0756354 .2604772 .03 .04 .0002792 .0017860 .0095352 •0416009 .1442113 .3825322 .04 .03 .0010551 •0053875- .0230265- .0808095- .2271931 .4963501 .05 .06 .0029935- .0127149 .0453511 .1335064 .3176530 •5968430 .06 .07 .0069671 .0253324 ,0776173 .1973332 .4095400 .6823131 .07 .08 .0140247 .0445867 .1199002 .2692287 .4981990 .7530207 .08 .09 .0252669 .0713926 .1713317 .3455549 .5804336 .8102611 .09 .10 .0417038 .1061086 .2303179 .4230563 .6543425- .8557853 .10 .11 .0641247 .1485081 .2948090 .4988966 .7190633 .8914528 .11 .12 .0929966 .1978297 .3625642 •5708493 .7745053 .9190362 .12 .13 .1284190 .2528848 .4313771 .6373293 .8211029 .9401222 .13 .14 .1700936 ,3121945- .4992456 .6973540 .8596142 .9560731 .14 .15 .2173759 .3741336 .5644823 •7504551 .8909679 .9680233 .15 .16 .2693270 .4370649 .6257699 .7965805, .9161480 .9768959 • 16 .17 .3247935- .4994500, .6821737 •8359877 .9361177 .9834276 .17 .18 .3825224 .5599329 .7331194 .8691471 .9517713 .9881971 .18 .19 .4412003 .6173928 •7783507 .8966591 .9639081 .9916525, .19 .20 .4995825, .6709704 .8178743 .9191873 •9732209 •9941371 .20 .21 .5565322 .7200698 .8519012 •9374075, .5802964 •9959104 .21 .22 .6110721 •7643433 .8807897 .9519716 .9856213 .997166s .22 .23 .6624133 .8036628 . 9049940 •9634835, .9895919 .9980506 .23 .24 .7099677 .8380842 .9250203 •9724855- .9925263 .9986678 .24 .25 .7533455- .8678083 •9413916 .9794519 .9946760 .9990959 .25 .26 .7923415, .8931430 •9546208 .9847890 .9962374 •9993907 • 26 .27 .8269141 •9144669 .9651920 .9838377 .9973619 •9995922 •27 .28 .8571533 .9321988 .9735477 .9918797 .9981650- •9997290 .28 .29 .8832774 .9467716 .9800825, •9941437 .9987337 .9998212 .29 .30 .9055545- .9586118 .9851404 .9958129 .9991332 .9996829 .30 • 3i •9243257 .9681249 .9890153 .9970322 •9994114 •9999239 .31 • 32 •9399568 .9756850, .9919541 •9979147 .5996036 •9999509 .32 *33 .9528231 .9816285, .9941607 .9935477 •9997352 • 9999686 .33 .34 .9632938 .9862516 .9958013 .9939974 •9998246 .9999800 .34 .35 .9717198 .9898098 .9970089 •9993140 •9998848 .9999874 .35 .36 •9784256 .9925199 .9978892 .9995349 .9999250, •9999921 .36 .37 .9837039 .9945625, .9985245- .9996376 •9999516 •9999951 .37 .38 .9878134 .9960861 .9989784 .9997921 .9999691 •9999970 .38 .39 .9909782 .9972107 .9992996 .9998629 .9999604 .9999982 .39 .40 .9933889 .9980321 .9995245, •9999105, • 9999877 .9999989 .4o .41 •9952053 .9986257 .9996805- •9999421 •9999924 .9999993 .41 .42 .9965590 •9990502 .9997874 .9999630 • 9999953 .9999996 .42 .43 •9975566 .9993505, .9998601 .9999765, •9999971 • 9999998 .43 .44 )l •9932837 .9995606 .9999089 • 9999853 • 9999933 • 9999999 .44 • 45 it r .9988077 .9997060 •9999413 •9999909 •9999990 .9999999 .45 .46 .9991810 .9998055, .9999626 .9999944 •9999994 1.0000000 .46 .47 .9994439 .9998728 .9999765- .9999966 .9999996 1.0000000 .47 .48 .9996268 .9999173 .9999354 •9999930 •9599996 . 1.0000000 .48 • 49 ■9997526 .9999475, •9999910 .9999938 •9999999 1.0000000 .49 • 50 .9998380 • 9999669 .9999945, • 9999993 •9599999 1.0000000 • 50 - 1 TS 288 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST s q n-s p n =33 r= 1 n =34 r =31 n -34 r=3o n -34 r -29 n -=34 r=28 n =34 r =27 p .01 . 2822695 - .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 . 4865945 , .0000000 .0000000 .0000000 .0000000 .0000000 • 02 .03 .6340117 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .7400136 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .8159741 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .8702166 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .9088121 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 •9361739 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .9554994 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .9690968 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .11 .9786268 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .9852793 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .9899043 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 •9931064 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .9953138 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .9968289 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 •9978641 .0000000 .0000000 .0000000 .0000000 .0000000 .17 . 18 .9985683 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 . 9990450 - .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 • 9993662 .0000000 . 0000-000 .0000000 .0000000 .0000000 .20 .21 . 9995815 , .0000000 .000000:0 .0000000 .0000000 .0000000 .21 .22 .9997251 .0000000 .0000000 .0000000 .0000000 .0000000 .22 • 23 .9998204 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .9998834 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .9999247 .0000000 .0000000 .0000000 .0000000 .0000000 .25 • 26 •9999516 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 • 5999691 .0000000 .0000000 .0000000 .0000000 .0000000 • 2 Z .28 .9999804 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .9999877 .0000000 -.0000000 .0000000 .0000000 .0000000 .29 .30 .9999923 .0000000 .0000000 .0000000 .0000000 .0000000 .30 • 3 l •9999952 .0000000 .0000000 .0000000 .0000000 .0000000 .31 . 32 •9999970 .0000000 .0000000 .0000000 .0000000 .0000000 .32 • 33 .9999982 .0000000 .0000000 .0000000 .0000000 •.0000000 .33 .34 •9999989 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 •9999993 .0000000 .0000000 .0000000 .0000000 .0000001 .35 .36 .,9999996 .0000000 .0000000 .0000000 .0000000 .0000003 .36 • 37 ,9999998 .0000000 .0000000 .0000000 .0000001 .0000005, .37 .38 •9999999 .0000000 .0000000 .0000000 .0000001 .0000010 .38 • 39 .9999999 .0000000 .0000000 .0000000 .0000003 .0000018 .39 .40 3,-0000000 .0000000 .0000000 .0000001 .0000005, .0000032 .40 . 4 l 3 ,. 0000000 . 0000000 .0000000 .0000001 .0000009 .0000056 .41 .42 1 .0D00000 .0000000 .0000000 .0000002 .0000017 .0000097 .42 .43 1.0000000 .0000000 .0000001 .0000004 .0000030 .0000163 .43 .44 1.0000000 .QCOOOOO .0000001 .0000008 *0000051 .0000271 .44 .45 1.0000000 .0000000 .0000002 .0000014 .0000087 .0000442 .45 .46 1.0000000 .0000000 .0000003 .0000025- . 0000145 - .0000710 .46 .47 I. n 1.0000000 ✓0000001 .0000006 .0000042 .0000238 .0001124 .47 .48 1.0000000 .0000001 .0000010 .0000071 .0000387 .0001755, .48 .49 1.0000000 .0000002 .0000018 .0000118 .0000618 .0002703 .49 • 50 1.0000000 .0000004 .0000031 .0000193 .0000976 .0004107 .50 289 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r ,n,s n-s U)P ^ p n=34 r=26 n =34 r=25 n=34 r=24 n-34 r=23 n=34 r=22 n=34 r=21 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 . OOO'OOOO .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0006000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 • 3-5 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 •.17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000003 .0000015- .23 .24 .0000000 .0000000 .0000000 .0000001 .0000006 .0000031 .24 .25 .0000000 .0000000 .0000000 .0000002 .0000012 .0000062 .25 .26 •0000000 .0000000 .0000001 .0000004 .0000024 .0000120 • 26 .27 .0000000 .0000000 .0000001 .0000009 .0000048 .0000225, .27 .28 •0000000 .0000000 .0000003 .0000018 .0000091 .0000410 • 28 .29 .0000000 .0000001 .0000006 .0000035- .0000169 .0000724 • 29 .30 .0000000 .0000002 .0000013 .0000066 .0000304 .0001244 .30 .31 .0000001 .0000004 .0000024 .0000121 .0000533 .0002086 .31 .32 .0000001 .0000003 .0000045, .0000216 .0000912 .0003414 .32 .33 .0000003 .0000016 .0000082 .0000377 .0001523 .0005461 .33 .34 .0000005, .0000029 .0000146 .0000642 .0002488 .0008551 .34 .35 .0000010 .0000053 .0000255- .6001071 .0003979 .0013117 .35 .36 .0000013 .0000094 .0000434 .0001750, .0006236 .0019733 .36 .37 .0000032 .0000164 .0000723 .0002603 .0009588 .0029141 .37 .38 .0000057 .0000279 .0001183 .0004403 .0014473 .0042275, .38 .39 .0000099 .0090466 .0001900 .0006794 .0021464 .0060296 .39 .40 .0000170 .0000765* .0002997 .0010301 .0031299 .0084604 .40 .41 .0000285- .0061233 .0004645, .0015358 .0044906 .0116864 .41 .42 .0000469 .0001955- .0007083 .0022534 .0063430 '.0159004 .42 .43 .0000760 .0003048 .0010628 .0032552 .0088253 .0213207 .43 .44 .0001213 .0004679 .0015705, .0046324 .0121017 .0281893 .44 .45 .0001905, .0007073 .0022865- .0064976 .0163624 .0367665- .45 • 46 .0002943 .0010538 .0032813 .0089866 .0218234 .0473254 .46 .47 .0004495, .0015477 .0046438 .0122610 .0287246 .0601428 .47 .48 .1006759 .0022420 .0064835, .0165089 .0373254 .0754891 .48 .49 .0010026 .0032045- .0089338 .0219443 .0478991 .0936153 .49 .50 .0014675, .0045206 .0121533 .0288063 .0607247 .1147405, .50 290 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=34 r=20 n-34 r =19 n-34 r=l8 n=34 r=17 n=34 r=l6 n=34 r=15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .000O000 .0000000 .0000000 .0000000 .0000001 .09 .10 .0000000 .0000000 .0000000 .0000000 .0600000 .0000003 .10 .11 .0000000 .0000000 .0000000 .0000000 .0060001 .0000010 .11 .12 .0000000 .0000000 .0000000 .0000001 .0060005- .0000030 .12 .13 .0000000 .0000000 .0000000 .0000002 .0000014 .0000082 .13 .14 .0000000 .0000000 .0000001 .0000006 .0000038 .0000203 .14 .15 .0000000 .0000000 .0000003 .0000017 .0000095- .0000466 .15 .16 .0000000 .0000001 .0000008 .0000043 .0000219 .0000999 .16 .17 .0000000 .0000003 .0000019 .0000100 . 0000475 - .0002016 .17 .18 .0000001 .0000008 .0000044 .0000219 .0000971 .0003856 .18 .19 .0000003 .0000019 .0000098 .0000453 .0001885, .0007027 .19 .20 .0000008 .0000042 .0000205- .0000893 .0003495, .0012260 .20 .21 .0000017 .0000089 .0000409 .0001684 .0006213 .0020560 .21 .22 .0000037 .0000180 .006,0783 .0003047 .0010627 .0033258 .22 .23 .0000076 .0000351 . 0001443 ' .0005313 .0017550, .0052050- .23 .24 .0000151 .0000658 .0002563 .0008952 .0028061 .0079017 .24 .25 .0000288 .0001190 .ooo 44 o 4 . 0014615 - .0043545- .0116631 .25 .26 .0000530 .0002084 .0007337 .0023169 .0065723 .0167717 .26 .27 .0000946 .0003542 .0011877 .0035739 .0096669 .0235396 •27 .28 .0001638 .0005851 .0018715- .0053739 .0138797 .0322984 .28 .29 .0002762 .0009415- .0028757 .0078897 .0194834 .0433862 .29 .30 .0004536 .0014777 .0043154 .0113260 .0267753 .0571318 .30 .31 .0007271 .0022659 .0063331 .0159186 • 0360685, .0738369 .31 .32 .0011389 .0033986 .0091009 .0219310 .0476802 .0937577 .32 . 33 .0017455, .0049923 .0128203 . 0296485 - .0619166 .1170863 .33 .34 .0026204 .0071895- .0177219 .0393698 .0790576 .1439344 .34 .35 .0038572 .0101604 .0240613 .0513958 .0993397 .1743196 .35 • 36 .0055725- .0141038 .0321144 .0660168 .1229392 .2081564 .36 .37 .0079079 .0192452 .0421689 .0834971 .1499572 .2452515- .37 .38 .0110319 .0258344 .0545141 .1040600 .1804070 .2853048 .38 .39 .0151400 .0341397 .0694291 .1278722 .2142047 .3279168 .39 .40 .0204540 .0444412 .0871683 .1550291 .2511651 .3726002 .40 .4l .0272188 .0570207 .1079474 .1855430 .2910016 .4187973 .41 .42 .0356978 .0721503 .1319280 .2193340 .3333318 .4659007 .42 .43 .0461663 ,0900794 .1592042 .2562248 .3776885- .5132759 .43 .44 .0589019 .1110204 .1897904 .2959402 .4235345, .5602863 .44 .45 .0741741 .1351346 .2236119 .3381121 .4702820 .6063165, .45 .46 .0922310 .1625181 .2604999 .3822879 .5173138 .6507947 .46 • 47 .1132864 .1931903 .3001892 .4279451 .5640066 .6932118 .47 .48 .1375050- .2270835, .3423226 .4745086 .6097545- .7331366 .48 • 49 .1649886 .2640373 .3864584 .5213714 .6539900 .7702271 .49 • 50 .1957642 .3037957 .4320831 .5679169 .6962043 .8042358 • 50 291 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=34 r=l4 n=34 r=13 rr=34 r=12 h=34 r-11 n=34 r*10 n=34 r- 9 i P .01 •0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0060000 .0000000 .0000005, .03 .04 .0000000 .0000000 .0000000 .0000001 •0000006 .0000055, .04 .05 .0000000 .0000000 .0000000 .0000005- .0000042 .0000326 .05 .06 .0000000 .0000000 .0000003 .0000028 .0000208 •0001333 .06 .07 .0000000 .0000002 .0000018 .0000124 .0000773 .0004222 .07 .08 .0000001 .0000010 .0000070 .0000431 .0002335- .0011090 .08 .09 •OOOOO06 .0000038 .6000233 .0001259 .0006013 .0025243 .09 .10 .0000020 .0000121 .0000661 .0003197 .0013657 .0051311 .10 .11 .0000061 .0000339 .0001664 .0007259 .0028007 .0095156 .11 .12 .0000169 .0000846 .0003783 .0015019 .0052784 .0163562 .12 .13 .0000420 .0001929 .0007897 .0028733 .0092647 •0263738 .13 .14 .0000960 .0004062 .0015323 .0051413 .0153024 .0402695, .14 .15 .0002041 .0007991 .0027915- .0086820 .0239310 .0586587 .15 • 16 .0004067 .0014806 .0048121 .0139377 .0358960 .0820084 .16 .17 .0007659 .0026025- .0079011 .0213985- .0516021 .1105831 .17 . 18 .0013712 .0043647 .0124229 .0315756 .0715658 .1444368 .18 .19 .0023466 .0070188 .0187888 .0449682 .0961213 .1833509 .19 .20 .0038553 .0108670 .0274400 .0626271 .1254363 .2268922 .20 .21 .0061040 .0162562 .0338240 .0831185, .1594914 .2744143 .21 .22 .0093437 .0235677 .0533676 .1084914 .1980678 .3251032 .22 .23 .0130673 .0332007 .0714471 .1382519 .2407584 .3780281 .23 .24 .0200038 •0455527 .0933601 .1723462 .2869853 •4321959 .24 • 25 .0281074 .0609962 .II92989 .2105554 .3360330 .4866062 .25 .26 .0385434 .0798539 .1493306 .2525000- .3670831 .5403008 ; • 26 .27 .0516704 .1023752 .1833834 .2976559 .4392621 .5924066 •27 .28 .O67Q20I .1287145, .2212423 .3453790 .4916830 .6421671 .28 .29 .0872767 .1589141 .2625525- .3949362 .5434874 .6889651 .29 .30 .1102557 .1920929 .3068320 .4455406 .5938816 •7323333 .30 . 3i .1363850 .2304421 .3534921 .4963888 .6421664 .7719556 .31 . 32 .1671933 .2712283 .4018625- .5466960 •6877579 .8076605- .32 • 33 .2OIO947 •3148031 .4512218 •5957286 •7302002 .8394074 .33 .34 .2383872 .3606204 .5008290 .6428305- .7691701 .8672691 .34 .35 •2737559 .4080580 .5499544 .6874441 .8044740 .8914105- .35 • 36 •3217794 .4564437 .5979092 .7291235, .83603 39 .9120676 .36 .37 • 3669448 .5050832 .6440701 .7675414 .8638991 .9295265- .37 .38 .4136666 .5532882 .6878995- .8024884 .8881789 •9441032 .38 .39 .4613097 .'6004032 .7289593 .8338679 .9090749 .9561275- .39 .40 •5092146 .6458290 .7669190 .8616852 .9268369 .9659279 .40 .41 •5567233 .6890424 .8015577 .8860337 •9417500, .9738209 .41 .42 .6032042 .7296106 .8327504 .9070795- .9541188 .9801024 .42 .43 .6430751 .7671999 .8605101 •9250442 .9642524 •9850419 .43 .44 .6908221 .8015798 .8848769 .9401-888 .9724540 .9888800 .44 .45 •7310149 .8326209 .9060030 •9527975- .9790110 .9918265- .45 .46 .7683160 .8602892 .9240887 •9631645- .9841889 .9940612 .47 .8024863 .8846360 •9393759 .9715819 .9882273 •9957355- M .48 •8333347 .9057860 •9521339 •9783305- .9913376 .9969743 .48 .49 •8609633 .9239230 •9626450, .9836724 .9937034 •9978795- .49 • 50 .8852595- • 9392753 •9711937 .9878467 •9954794 .9985325- .50 1 292 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 n-s q p n-34 r= 8 h=34 r= 7 n-34 r= 6 n=34 r= 5 ii=34 r= 4 n=34 r- 3 p .01 .0000000 .0000000 .0000011 .0000218 .0003649 .0047470 .01 .02 .0000003 .0000043 •0000532 .0005488 .0045964 .0301875, .02 .03 .0000059 .0000576 .0004755- .0032708 .0183344 .0811807 .03 .04 .0000467 .0003394 .0020959 .0108178 .0457053 .1537442 .04 .03 .0002195, .0012717 .0062694 .0259156 .0881287 .2406510 .05 .0& .0007437 .0035768 .0146731 .05o64o4 .1445552 .3344644 .06 .07 .0020085- .0082527 .0289924 .0860009 .2122342 .4286342 • 07 .08 .0045942 .0164697 .0506118 .1318465- .2875463 .5185847 .08 .09 .0092547 .0294182 .0803871 .1870117 .3666940 .6011181 .09 .10 .0168620 .0481443 .1185296 .2495917 .4461850- .6744868 .10 .11 .0283221 .0734069 .1646012 .3172587 .5231150, .7380266 .11 .12 .0444768 .1055784 .2175978 .3875584 .5952881 .7918494 .12 .13 .0660082 .1445995, .2760888 .4581510 .6612203 .8365754 .13 .14 *0933591 .1899877 .-3383816 .5269808 .7200705- .8731185- .14 .15 .1266803 .2408895, .4026859 .5923782 .7715320 .9025262 .15 • 16 .1658088 .2961651 .4672577 .6530996 .8157113 .9258676 .16 .17 .2102770 .3544892 .5305130 .7083221 .8530098 .9441604 •.17 .18 .2593487 .4144563 .5911065- .7576044 .8840195- .9583280 .18 .19 .3120763 .4746769 .6479748 .8008293 .9094364 .9691795, .19 .20 .3673691 .5338601 .7003512 .8381369 .'9299940 .9774041 .20 .21 .4240668 .5908751 .7477544 .8698575- .9464142 .9835754 .21 .22 .4810104 .6447917 .7899615, .8964497 .9593746 .9881613 .22 .23 .5371048 .6949007 .8269690 .9184466 .9694885- .9915374 .23 .24 •5913685, .7407157 .8589488 .9364120 .9772953 .9940003 .24 • 23 .6429706 .7819612 .8862041 .9509067 .9832579 .9957810 .25 • 26 .6912520 .8185499 .9091272 .9624645, .9877656 .9970573 • 26 .27 •7357341 .8505533 .9281627 .9715763 .9911393 •9979641 • 2 Z .28 .7761145- .8781696 .9437765, .9786807 .9936396 .9986029 . 28 .29 .8122546 .9016907 .9564317 •9841603 •9954748 •9990491 .29 .30 .8441596 .9214717 .9665704 .9883422 .9968090 .9993581 .30 • 3l .8719544 •9379035- .9746009 .9915006 .9977698 .9995703 .31 • 32 .895&5SO .9513898 .9808911 .9938615, •9984552 .9997147 .32 .33 .9161580 .9623289 .9857641 .9956084 .9989396 .9998122 .33 .34 .9331863 .9710994 .9894985- . 99.68880 .9992787 .9998775- .34 • 35 .9472983 .9780513 .9923295, .9978157 •9995138 .9999207 .35 • 36 .9588546 .9834995, .9944528 •9984816 .9996754 .9999492 .36 .37 .9682070 .9877216 .9960284 .9989548 .9997853 .9999677 .37 .38 .9756880 .9909570 .9971852 .9992876 .9998593 •9999797 .38 .39 .9816027 .9934088 .9980254 .9995193 .9999087 .9999873 .39 .40 .9862252 .9952462 .9986291 .9996789 •9999414 .9999922 .40 .41 .9897962 .9966077 .9990582 .9997877 .9999627 .9999952 .41 .42 .9925231 .9976053 .9993599 .9998612 .9999765, .9999971 .42 .43 .9945813 .9983280 .9995696 .9999102 .9999854 .9999983 • 43 .44 .9961166 .9988456 •9997139 .9999425, .9999910 .9999990 .44 .45 >1 r .9972484 .9992119 .9998119 .9999636 .9999945, .9999994 .45 /* .46 .9980729 •9994683 .9998778 .9999772 .9999967 .9999997 .46 • 47 I. n .9986662 •9996455- .9999215, .9999859 .9999980 .9999998 .47 1, 0 .48 .9990880 .9997665- .9999502 .9999914 .9999988 .9999999 .48 • 49 •9993841 •9998481 .9999688 •9999948 •9999993 .9999999 .49 • 50 .9995893 •9999024 .9999807 .9999969 .9999996 1.0000000 .50 293 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=34 r= 2 n=34 r = 1 n=35 r=32 -n=35 r=31 n=35 r=30 n =35 r =*29 p .01 .0454184 .2894468 .0000000 .0000000 .0000000 .0000000 .01 .02 .1477469 .4968626 .0000000 .0000000 .0000000 .0000000 .02 .03 .2716832 .6449913 .0000000 .0000000 .0000000 .0000000 .03 .04 .3968315- .7504130 .0000000 .0000000 .0000000 .0000000 .04 .03 .5123313 .8251754 .0000000 .0000000 .0000000 .0000000 .05 .06 .6132455- .8780036 .O'OOOOOO .0000000 .0000000 .0000000 .06 .07 .6981680 .9151952 .0000000 .0000000 .0000000 .0000000 .07 .08 .7676730 .9412800 .0000000 .0000000 .0000000 .0000000 .08 .09 .8233326 •9595044 .0000000 .Q000000 .0000000 .0000000 .09 .10 .8671164 .9721872 .0000000 .0000000 .0000000 .0000000 .10 .11 .9010419 .9809778 .0000000 .Q000000 .0000000 .0000000 .11 .12 .9269854 .9870458 .0000000 .0000000 .0000000 .0000000 .12 .13 .9465939 .9912168 .0000000 .0000000 .0000000 .0000000 .13 .14 .9612577 .9940715- .0000000 .0000000 .0000000 .0000000 .14 .15 .9721169 .9960167 .0000000 .0000000 .0000000 .0000000 .15 • 16 .9800852 .9973362 .0000000 .0000000 .0000000 .0000000 .16 .17 .9858818 .9982272 .0000000 .0000000 .0000000 .0000000 .17 .18 .9900639 .9988260 .0000000 .0000000 .0000000 .0000000 .18 .19 .9930571 .9992264 .0000000 .0000000 .0000000 . 0000000 .19 .20 *9951829 .9994929 .0000000 .0000000 .0000000 .0000000 .20 .21 .9966813 .9996694 .0000000 .0000000 .0000000 .0000000 .21 .22 .9977296 .9997856 .0000000 .0000000 .0000000 .0000000 .22 .9984576 .9998617 .0000000 .0000000 .0000000 . 0000000 .23 .24 .9989596 .9999114 .0000000 .0000000 .0000000 .0000000 .24 .25 .9993031 .9999435- .0000000 .0000000 .0000000 .0000000 .25 .26 .9995365, •9999642 .0000000 .0000000 .0000000 .0000000 • 26 .27 .9996940 .9999775- .0000000 .0000000 .0000000 . 0000000 •27 .28 .9997994 .9999859 .0000000 .0000000 .0000000 .0000000 .28 .29 .9998695, .9999912 .0000000 .0000000 .0000000 .0000000 .29 .30 .9999157 •9999946 .0000000 .0000000 .0000000 .0000000 .30 .31 .9999460 .9999967 .0000000 .0000000 .0000000 .0000000 .31 .32 .9999657 .9999980 .0000000 .0000000 .0000000 . 0000000 .32 . 33 .9999783 .9999988 .0000000 .0000000 .0000000 . 0000000 .33 .34 •9999864 •9999993 .0000000 .0000000 .0000000 . 0000000 .34 .35 .9999916 .9999996 .0000000 .0000000 .0000000 .0000000 .35 • 36 .9999948 •9999997 .0000000 .0000000 .0000000 .0000000 .36 .37 .9999968 .9999998 .0000000 .0000000 .0000000 .0000000 .37 .38 .9999981 •9999999 .OQOCOOO .0000000 .0000000 .0000001 .38 .39 .9999989 •9999999 .0000000 ..0000000 .0000000 .0000001 .39 .40 •9999993 1.0000000 .0000000 .0000000 .0000000 .0000003 .40 .41 .9999996 1.0000000 .0000000 .0000000 .0000001 .0000005- .41 .42 .9999998 1.0000000 .0000000 .0000000 .0000001 .0000009 .42 .43 •9999999 1.0000000 .0000000 .0000000 .0000002 .0000015, .43 .44 •9999999 1.0000000 .0000000 .000000] .0000004 .0000027 .44 .45 1.0000000 1.0000000 ,0000000 .0000001 .0000007 .0000047 .45 .46 1.0000000 1.0000000 .0000000 .0000002 .0000013 .0000080 .46 .47 1.0000000 1.0000000 .0000000 .0000003 .0000023 .0000134 .47 .48 1.0000000 1.0000000 .0000001 .0000006 .0000039 .0000222 .48 .49 1.0000000 1.0000000 .0000001 .0000010 .0000067 .0000363 .49 • 50 1.0000000 1.0000000 .0000002 .0000017 .0000112 .0000584 .50 294 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z ST V " 8 p n=35 r=28 n=35 r=27 n=35 r =26 n=35 r=25 n =35 r= 24 - n =35 r =23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 . 0000000 .‘18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .'19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 . 0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000002 .0000030 .26 .27 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .27 .28 .0000000 .0000000 .0000000 .0000001 .0000007 .0000038 .28 .29 .0000000 .0000000 .0000000 .0000003 .0000015- .0000074 .29 .30 .0000000 .0000000 .0000002 .0000005, .0000029 .0000137 .30 .31 .0000000 .0000001 .0000004 .0000010 .0000054 .0000249 .31 .32 .0000000 .0000000 .0000001 .0000020 .0000100 .0000439 .32 • 33 .0000000 .0000001 .0000007 .0000038 .0000179 . 0000755 - .33 .34 .0000000 .0000002 .0000013 .0000069 .0000315- .0001270 .34 .35 .0000001 .0000004 .0000025- .0000124 .0000540 .0002089 .35 .36 .0000001 .0000008 . 0000045 , .0000216 .0000908 .0003365, .36 .37 .0000002 .0000015, .0000081 .0000371 .0001493 .0005313 .37 .38 .0000005- .0000028 .0000141 .0000623 .0002407 .0008230 .38 .39 .0000009 .0000050- .0000242 .0001025, .0003809 .0012515, .39 .40 .0000016 .0000087 .0000408 .0001658 .0005918 .0018700 .40 .41 .0000029 .0000150, .0000673 .0002632 .0009038 .0027473 .41 .42 .0000050, .0000253 .0001093 .0004103 .0013572 .0039710 .42 .43 .0000087 .0000420 .0001744 .0006307 .0020055, .0056503 .43 .44 .0000148 .0000685 .0002738 .0009530 .0029178 .0079189 .44 .45 .0000246 .0001100 .0004231 . 0014-180 . 0041815 - .0109367 .45 .46 . 0000405 - .0001739 .0006439 .0020785- .0059057 . 0148915 , .46 .47 .0000655- .0002709 .0009657 .0030029 .0082239 .0199989 .47 .48 .0001044 .0004157 ,0014277 .0042779 .0112957 .0265008 .48 .49 .0001640 .0006291 .0020815, .0060118 .0153090 .0346622 .49 .50 .0002541 .0009391 .0029941 .0033369 .0204798 .0447655 .50 832939 0 - 50 - 20 295 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-35 r-22 n=35 r=21 n=35 r=20 n-35 r=19 n=35 r-l8 n-35 r=17 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .OOOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 . 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 . 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 . 0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .12 .13 .0000000 .0000000 .00000.00 .0000000 .0000001 .0000004 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .14 .15 .0000000 .0000000 .0000000 .0000001 .0000005- .0000029 .15 .16 .0000000 .0000000 .0000000 .0000002 .0000013 .0000071 .16 .17 .0000000 .0000000 .0000001 .0000006 .0000033 .0000164 .17 .18 .0000000 .0000000 .0000003 .0000015- .0000076 .0000354 .'18 .19 .0000000 .0000001 .0000006 .0000034 .0000165, .0000725, .19 .20 .0000000 .0000003 .0000015- .0000074 .0000342 .0001414 .20 .21 .0000001 .0000006 .0000032 .0000156 .0000677 .0002635- .21 .22 .0000002 .0000013 .0000069 .0000313 .0001281 .0004715- .22 •23 .0000003 .0000029 .0000139 .0000602 .0002333 .0008128 .23 .24 .0000012 .0000060 .0000273 .0001115- .0004097 .0013539 .24 .25 .0000024 .0000118 ,0000513 .0001993 .0006957 .0021847 .25 .26 .0000049 .0000227 .0000934 .0003450- .0011453 .0034233 .26 .27 .0000096 .0000420 .0001646 .0005792 .0018320 .0052190 • 2 Z .28 .0000180 .0000754 .0002818 .0009453 .0028522 .0077555, .28 .29 .0000330 .0001315- .0004691 .0015024 .0043297 .0112519 .29 .30 .0000586 ►0002232 .0007609 .0023290 .0064185, .0159608 .30 .31 .0001014 .0003693 .0012041 .0035267 .0093046 .0221651 .31 .32 .0001712 .0005966 .0018620 .0052234 .01320*65, .0301707 .32 .33 .0002823 .0009419 .0028170 •0075756 .0183736 .0402970 .33 .34 .0004549 .0014553 .0041739 .0107705- .0250822 .0528637 .34 .35 .0007177 .0022026 .0060633 .0150258 .0336284 .0681762 .35 .36 .0011095, ,0032690 .0086438 .0205876 .0443193 .0865089 .36 .37 •00]6323 .0047610 .0121027 .0277270 .0574603 .1080873 .37 .38 .0025038 .0068132, .0166568 •0367327 •0733416 .1330719 .38 .39 .0036608 .0095826 .0225499 .0479026 .0922219 .1615419 .39 .40 .0052621 .0132579 .0300489 .0615320 .1143126 .1934835- .40 .41 .0074409 .0180547 .0394375, .0779006 .1397616 .2287810 .41 .42 • 01035.71 .0242153 .0510078 .0972569 .1686385- .2672131 .42 .43 f 0141983 .0320043 .0650489 .1198030 .2009230 .3084342 .43 .44 .0191802 .0417028 .0818341 .1456792 .2364963 .3520817 .44 .45 .0255442 .0535999 .1016063 .1749494 .2751370 .3975886 .45 • 46 •0335543 .0679820 .1245631 .2075897 .3165224 .4443098 .46 .47 .0434912 .0851203 .1508413 •2434798 .360234*5- .4918940 .47 .48 .0556440 .1052567 .1805027 .2823983 .4057719 .5394266 .48 .49 .0703001 .1285882 .2135225- .3240236 .4525657 .5863545, .49 .50 .0877326 •1552523 .2497799 .3679394 .5000000 .6320606 .50 296 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V * 8 n-35 r-16 n-35 r-15 n=35 r-14 n=35 r=13 n=35 r=12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .0000000 .0000000 .0000000 .0000001 .0000005- .0000000 .0000000 .0000000 .0000003 .0000025, .0000000 .0000000 .0000002 .0000015- .0000099 .0000000 .0000001 .0000008 .0000056 .0000325- .0000001 .0000005- .0000030 .0000175, .0000915- .0000002 .0000016 .0000092 .0000484 .0002279 .0000008 .0000047 .0000250- .0001199 .0005131 .0000023 .0000126 .0000616 .0002705- .0010605, .0000061 .0000309 .0001394 .0005639 .0020376 .0000151 .0000702 .0002933 .0010979 .0036750, .0000344 .0001490 .0005785, .0020136 .0062722 .0000737 .0002.975, .0010781 .0035032 .0101957 .0001490 .0005630 .0019101 .0058152 .0158703 .0002862 .0010150, .0032343 .0092551 .0237629 .0005248 .0017519 .0052577 .0141816 .0343574 .0009226 .0029061 .0082360 .0209955- .0481258 .0015606 .0046498 .0124730 .0301237 .0654948 .0025485, .0071973 .0183140 .0419974 .0868122 .0040291 .0108062 .0261356 .0570265- .1123168 .0061816 .0157742 .0363296 .0755719 .1421130 .0092242 .0224324 .0492842 .0979178 ,1761546 .0134125, .0311349 .0653607 .1242474 .2142370 .0190370 .0422445- .0848706 .1546223 .2560006 .0264152 .0561144 .1080515 .1889692 .3009437 .0358822 .0736690 .1350468 .2270746 .3484446 .0477767 •0933821 .1658883 .2685876 .3977900 .0624250. .1172573 .2004848 .3130312 .4482092 .0801226 .1448091 .2386185- .3598213 .4989091 1011157 .1760483 • 2799465- .4082913 .5491095- .1255827 .2108723 .3240116 .4577217 .5980758 .1536174 .2490607 .3702585, .5073712 .6451463 .1852161 .2902780 .4180560 .5565083 .68975^5- .2202682 .3340823 .4667228 .6044405- .7314433 .2585524 •3799400 .5155562 .6505401 •7698737 •2997392 .4272459 .5638604 .6942650, .8048255- •3433978 .4753470 .6109741 .7351737 .8361929 .3390107 .5235682 .6562949 .7729355- .8639744 .4359911 .5712396 .6992988 .8073233 .8882598 .4637053 .6177221 •7395555, .8382305, .9092141 •5314975, .6624308 .7767376 .8656429 .9270605, .5787150, .7043545- .8106236 .8896370 .9420636 .6247330 .7445708 .3410967 .9103638 .9545127 .6689779 .7312557 .8681373 .9280330 .9647082 •7109462 .8146878 .8918136 .9428968 .9729485- .7502201 .84 47477 .9122674 '9552345- .9795202 n=35 r=ll .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 ,22 .23 .24 .25 • 26 .27 .28 .29 .30 .31 .32 • 33 .34 .35 .36 .37 .38 .39 .4o .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 .0000000 .0000000 .0000000 .0000001 .0000007 .0000059 .0000170 .0000584 .0001686 .0004243 .0009541 .0019551 .0037042 .0065639 .0109768 .0174510 .0265531 .0387738 .0546873 .0747090 .0991568 .1281982 .1618284 .1998597 ,2419248 ,2874916 .3358896 .3863442 .4380160 ,4900429 ,5415798 .5918358 .6401042 .6857860 .7284045, .7676131 .8031937 .8350508 .8631987 .8877459 .9088774 .9268360 .9419038 .9543855- .9645935, .9728357 .9794052 .9845740 .9885876 .9916631 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 • 16 •17 .18 .19 .20 .21 .22 .23 .24 .25 • 26 :3 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 .50 297 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST V s p n=35 r=10 n<35 r= 9 n=3.5 r= 8 n=35 r= 7 n=35 r- 6 n=35 r* 5 P .01 .0000000 .0000000 .0000000 .0000001 .0000013 .0000253 .01 .02 .0000000 .0000000 .0000004 .0000053 .0000631 .0006297 .02 .03 .0000001 .0000007 .0000075- .0000701 .0005593 .0037227 .03 .04 .0000008 .0000072 .0000584 .0004097 .0024448 .0122133 .04 .03 .0000056 .0000420 .0002721 .0015216 .0072517 .0290263 .05 .06 .0000276 .0001700 .0009137 .0042425, .0168311 .0562753 .06 .07 .0001015- .0005333 .0024456 .0097044 -0329830 .0948373 .07 .08 .0003035, .0013878 .0055442 .0192011 .0571106 .1443025- .08 .09 .0007744 .0031300 .OIIO694 .0340054 .0899833 .2031831 .09 .10 .0017422 .0063042 .0199902 .0551829 .1316358 .2692510 .10 .11 .0035394 .0115844 .0332814 .0834383 .1813935, •3399029 .11 .12 .0066078 .0197307 .0518090 .1190207 .2379931 .4124860 .12 .13 .0114889 .0315263 .0762251 .1616931 .2997569 .4845500- .13 .14 .0187978 .0477021 .1068871 .2107629 •3647855, •5540134 .14 .15 .0291826 .0688619 .1438117 .2651590 .4311397 .6192513 .15 • 16 .0432739 .0954164 .1866658 •3235399 .4969924 .6791175- .16 .17 .0616297 .1275352 .2347931 .3844133 .5607406 .7329190 .17 .18 .0846825, .1651209 .2872681 .4462533 .6210761 .7803591 .18 .19 .1126949 .2078087 .3429704 .5076035- .6770172 .8214646 .19 .20 .1457279 .2549876 .4006673 .5671583 .7279083 .8565083 .20 .21 .1836252 .3058413 .4590965- .6238198 .7733961 .8859344 .21 .22 .2260156 .3594028 •5170423 .6767291 .8133889 .9102932 .22 .23 .2723305- .4146157 •5733979 .7252764 .8480089 .9301862 .23 .24 .3218362 .4703973 .6272118 .7690916 .8775400 .9462239 .24 .25 •3736763 .5256973 .6777182 .8080219 .9023798 .9539945- .25 • 26 .4269197 .5795431 .7243495- .8421000 .9229949 .9690428 • 26 .27 .4806111 .6311050- .7667353 .8715079 .9398844 .9768583 .27 .28 .5338186 .6796724 .8046899 .8965396 .9535497 .9828692 .28 .29 .5856759 .7247191 .83819^1 .9175656 .9644730 .9874415- .29 .30 .6354171 .7658812 .8673533 •9350013 .9731019 .9908822 .30 .31 .6824011 .8029552 .8923986 .9492797 .9798398 .9934440 .31 .32 .7261267 .8358837 .9136282 .9608303 .9850416 •9953315- .32 • 33 .7662386 .8647351 .9313944 .9700625 .9890128 .9967077 .33 .34 .8025238 .8896809 .9460768 •9773551 .9920109 .9977008 .34 .35 .8349018 .9109712 .9580618 .9830487 .9942497 .9984101 .35 .36 .8634093 .9289109 .9677267 .9874427 •9959032 .9939114 .36 .37 .8881812 ,9438383 .9754274 •9907951 .9971112 .9992621 .37 .38 .9094301 .9561054 .9814902 .9933237 • 9979841 •9995049 .38 .39 .9274254 .9660628 .9862071 .9952093 .9986080 .9996712 .39 .40 .9424733 .9740468 .9898336 ,9965993 •9990490 .9997839 .40 .41 .9548991 .9803708 .9925889 .9976124 • 9993573 .9998595- .41 .42 .9650319 .9853191 .9946576 .9983422 • 9995704 .9999096 .42 .43 .9731919 .9891438 .9961924 .9988619 • 9997161 •9999425, .43 .44 .9796815- .9920641 .9973173 .9992276 .9998145- •9999638 .44 .45 ;9847780 .9942664 .9981320 •9994819 .9998802 •9939775, .45 .46 .9887302 .9959066 .9987148 .9996566 .9999235, • 9999862 .46 .47 .9917562 .9971129 .9991265- •9997752 .9999518 .9999916 .47 .48 .9940433 .9979889 .9994137 .9998547 .9999700 .9999950- .48 .49 .9957497 .9986167 .9996114 .9999072 • 9999816 •9999970 .49 • 50 .9970059 .9990609 .9997459 •9999416 .9999888 .9999983 .50 298 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p n*35 r = 4 n=35 r» 3 n=35 r= 2 n=35 r= 1 n=36 r-33 11*36 r-32 p .01 .0004087 .0051537 .0478587 .2965523 .0000000 .0000000 .01 .02 .0051082 .0325387 .1547292 .5069254 .0000000 .0000000 .02 .03 .0202198 .0868957 .2828825- .6556416 .0000000 .0000000 .03 .04 .0500269 .1634676 .4109747 .7603965, .0000000 .0000000 .04 .03 .0957548 .2542350- •5279735, .8339166 .0000000 .0000000 .05 .06 .1559462 .35113*49 .6291309 .8853234 .0000000 .0000000 .06 .07 .2273822 .4475015, •7133599 .9211316 .0000000 .0000000 .07 .08 .3060294 .5385118 .7815616 .9459776 .0000000 .0000000 .08 .09 .3877921 .6211174 .8355881 . 9631490 .0000000 .0000000 .09 .10 .4690151 .6937497 .8776235, .9749684 .0000000 .0000000 .10 .11 •5467553 •7559583 .9098349 .9830703 .0000000 .0000000 .11 .12 .6186754 .8080657 .9341926 .9886003 .0000000 .0000000 .12 .13 .6840x64 .8508778 .9523949 .9923586 .0000000 .0000000 .13 .14 .7414972 .8854580 .9658516 .9949015- .0000000 .0000000 .14 .15 .7911811 .9129648 .9757018 .9966142 .0000000 .0000000 .15 • 16 .8333363 .9345424 .9828454 .9977624 .0000000 .0000000 .16 .17 .8635054 .9512530 .9879805, .9985286 .0000000 .0000000 .17 .18 .8973950- .9640404 .9916411 •9990373 .0000000 .0000000 .’18 .19 .9207876 .9737163 .9942293 •9993734 .0000000 .0000000 .19 .20 .9394760 .9809599 .9960449 .9995944 .0000000 .0000000 .20 .21 .9542180 .9863276 .9973088 •9997338 .0000000 .0000000 .21 .22 .9657076 .9902663 .9981819 .9993328 .0000000 .0000000 .22 .23 .9745597 .9931290 .9987806 .9998935, .0000000 .0000000 .23 .24 .9813045- .9951905, .9991880 •9999326 .0000000 .0000000 .24 .25 .9863887 .9966615* •9994632 .9999576 .0000000 .0000000 .25 .26 •9901814 .9977019 •9996477 •9999735, .0000000 .0000000 .26 .27 .9929820 •9984312 .9997705, •9999835, .0000000 .0000000 .27 .28 •9950293 .9989379 .9998516 •9999898 .0000000 .0000000 .28 .29 .9965113 .9992870 •9999048 •9999933 .0000000 .0000000 .29 .30 •9975737 .9995254 .9999394 .9999962 .0000000 .0000000 .30 .31 .9983279 .9996868 .9999617 •9999977 .0000000 .0000000 .31 .32 .9988582 •9997950, .9999760 • 9999936 .0000000 .0000000 .32 .33 .9992275, .9998670 .9999851 •9999992 .0000000 .0000000 .33 .34 •9994823 •9999145, .9999908 •9999995, .0000000 .0000000 .34 .35 .9996562 .9999455, .9999944 •9999997 .0000000 .0000000 .35 .36 •9997739 .9999656 .9999966 .9999998 .0000000 .0000000 .36 .37 .9998528 .9999785- .9999980 •9999999 .0000000 .0000000 .37 .38 .9999051 .9999867 .9999988 •9999999 .0000000 .0000000 .38 .39 •9999394 .9999918 •9999993 1.0000000 .0000000 .0000000 .39 .40 .9999617 .9999950, •9999996 l.ooooobo .0000000 .0000000 .40 .41 .9999760 •9999970 .9999998 1.0000000 .0000000 .0000000 .41 .42 .9999852 .9999982 •9999999 1.0000000 .0000000 .0000000 .42 .43 •9999909 .9999990 •9999999 1.0000000 .0000000 .0000000 .43 .44 .9999945 .9999994 1.0000000 1.0000000 .0000000 .0000000 .44 .45 .9999967 .9999996 1.0000000 1.0000000 .0000000 .0000000 .45 .46 .9999981 •9999998 1.0000000 i.0000000 .0000000 .0000001 .46 .47 .9999989 •9999999 1.0000000 1.0000000 .0000000 .0000002 .47 .48 •9999993 •9999999 1.0000000 1.0000000 .0000000 .0000003 .48 .49 •9999996 1.0000000 1.0000000 1.0000000 .0000001 .0000005, .49 .50 .9999998 1.0000000 1.0000000 1.0000000 .0000001 .0000010 .50 299 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n*36 r=31 n a 36 r=30 n=36 r=29 n=36 r-28 n-36 r=27 n-36 r-26 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 . OOOOO'OO .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 26 .27 .0000000 .0000000 .0000000 .0000000 .0000060 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .31 • 32 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .32 .33 .ooooooc .0000000 .0000000 .0000000 .0000003 .0000017 .33 .34 .0000000 .0000000 .0000000 .0000001 .0000006 .0000032 .34 .35 .0000000 .0000000 .0000000 .0000002 .0000011 .0000059 .35 .36 .0000000 .0000000 .0000001 .0000004 .0000022 .0000107 .36 .37 .0000000 .0000000 .0000001 .0000007 .0000040 .0000188 .37 .38 .0000000 .0000000 .0000002 .0000014 .0000071 .0000324 .38 .39 .0000000 .0000001 .0000004 .0000025- .0000125- .0000548 .39 .40 .0000000 .0000001 .0000008 .0000045- .0000215, .0000908 .40 .41 .0000000 .0000002 .0000015- .0000078 .0000365- .0001476 .41 .42 .0000001 .0000004 .0000026 .0000136 .0000606 .0002359 .42 .43 .0000001 .0000008 .0000046 .0000230 .0000989 .0003706 .43 .44 .0000002 .0000014 .0000080 .0000384 .0001588 .0005727 .44 .45 .0000004 .0000025, .0000137 .0000631 .0002509 .0008708 .45 .46 .0000007 .0000044 .0000229 .0001019 .0003901 .0013038 .46 .47 .0000012 .0000075, .0000379 .0001620 .0005974 .0019232 .48 .0000022 .0000127 .0000617 .0002538 .0009015- .0027958 .48 .49 .0000038 .0000212 .0000989 .0003919 .0013408 .0040074 .49 • 50 .0000065- .0000348 .0001563 .0005966 .0019666 .0056655- .50 L - =* 300 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r B q Il-S p I n *36 r =25 n -36 r =24 n =36 r -23 n -36 r =22 n =36 r -21 n -36 r =20 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 ..0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 . 0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0060000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005- .18 .19 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .19 .20 .0000000 .0000000 .0000000 .0000001 .0000005- .6000026 .20 .21 .0000000 .0000000 .0000000 .0000002 .0000012 .0000658 .21 .22 .0000000 .0000000 .0000001 .0000005- .0000026 .0000122 .22 .23 .0000000 .0000000 .0000002 .0000011 .0000054 *0000246 .23 .24 .0000000 .0000001 .0000004 .0000023 .0000111 • 0000475 - .24 .25 .0000000 .0000002 .0000009 .0000048 .0000217 .0000883 .25 .26 .0000001 .0000004 .0000020 .0000095, .0000411 .0001588 .26 .27 ..0000001 .0000008 .0000040 .0000183 .0000751 .0002766 .27 .28 ,0000003 .0000016 .0000078 .0000341 .0001332 .0004676 .28 .29 ,0000006 V 0000032 .0000148 .0000615, .0002294 .0007688 .29 .30 .0000012 .0000061 .0000272 .0001080 . 0003845 - .0012313 .30 .31 .0000024 .0000114 .0000486 . 0001845 - .0006281 .0019241 .31 .32 .0000046 .0000208 .0000846 .0003074 .0010015, •0023377 .32 .33 .0000084 .0000369 .0001437 .0004999 .0015607 .0043873 .33 .34 .0000153 .0000640 .0002385- .0007950, .0023796 . 0.064167 .34 .35 .0000269 .0001082 .0003870 .0012374 .0035539 .0092002 .35 .36 . 0000465 , .0001792 .0006148 .0018869 .0052039 .0129436 .36 .37 .0000786 .0002906 .0009572 .0028217 .0074779 .0178837 .37 .38 .0001301 .0004620 .0014617 .0041413 .0105538 .0242857 .38 .39 .0002111 .0007204 .0021911 .0059703 .0146399 .0324374 .39 .40 .0003362 .0011031 .0032269 .0084604 . 0-199743 .0426421 .40 .41 .0005258 .0016596 .0046717 .0117926 .0268217 .0552074 .41 .42 .0008083 .0024550- .0066531 .0161775, .0354682 .0704324 .42 .43 .0012219 .0035728 .00^3260 .0218549 . 0462135 , .0885932 .43 .44 .0018175, .0051183 .0128739 .0290902 .0593606 .1099259 .44 .45 .0026615, .0072213 .0175101 .0381693 .0752028 .1346107 .45 .46 .0038390 .0100392 .0234764 .0493911 .0940093 .1627553 .46 .47 .0054567 .0137581 .0310403 .0630569 .1160092 .1943814 .47 .48 . 0076465 - .0185941 . 0404895 , .0794581 .1413748 .2294126 .48 .49 .0105674 .0247920 .0521247 .0988613 .1702060 .2676680 .49 .50 .0144084 .0326227 .0662491 .1214925- .2025161 .3088597 .50 301 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n=36 r=19 n=36 r=l8 n=36 r=17 n=36 r-l6 n=36 r-15 n-36 r-14 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .OCOOOOO .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0006000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000002 .0000013 • 09 .10 .0000000 .0000000 .0000000 .0000001 .0000007 .0000044 .10 .11 .0000000 .0000000 .0000001 .0000004 .0000024 .0000135- .11 .12 .0000000 .0000000 .0000002 .0000012 .0000071 .0000364 .12 .13 .0000000 .0000001 .0000006 .0000036 .0000189 .0000887 .13 .14 .0000000 .0000003 .0000018 .0000096 .0000461 .0001989 .14 .15 .0000001 .0000009 .0000047 .0000233 .0001037 .0004140 .15 .16 .0000004 .0600023 .0000115- .0000527 .0002177 .0008081 .16 .17 .0000010 .0600055, .0000261 .0001117 .0004302 .0014904 .17 .18 .0000026 .0600126 .0000559 .0002235, .0008055- .0026130 .‘18 .19 .0000059 .0600272 .0001131 .0004247 .0014367 .0043783 .19 .20 .0000128 .0000557 .0002181 .0007702 .0024530 .0070425- .20 .21 .0000265, .0001088 .0004019 .0013391 .0040254 .0109155- .21 .22 .0000526 .0002037 .0007111 .0022402 .0063709 .0163561 .22 • 23 .0001000 .0003666 .0012120 .0036177 .0097541 .0237612 .23 .24 .0001831 .0006363 .0019959 .0056556 .0144853 .0335494 .24 .25 .0003234 .0010680 .0031840 .0085798 .0209130 .0461402 .25 .26 .0005531 .0017376 .0049315, .0126583 .0294138 .0619289 • 26 .27 .0009175- .0027464 .0074312 .0181976 .0403759 .0812601 .27 .28 .0014792 .0042251 .0109143 .0255351 .0541798 .1044010 .28 .29 .0023223 .0663371 .0156492 .0350280 .0711762 .1315177 .29 .30 .0035559 .0092812 .0219372 .0470382 .0916623 .1626552 .30 • 3l .0053179 .0132914 .0301047 .0619144 .1158590 .1977251 .31 • 32 .0077780 .0186351 .0404921 .0799713 .1438901 .2364997 .32 «33 .0111389 .0256083 .0534394 .1014691 .1757662 .2786154 .33 .34 .0156365- .0345279 .0692694 .1265928 .2113737 .3235837 .34 .35 .0215367 .0457201 .0882685- .1554341 .2504711 .3708101 .35 • 36 .0291310 .0595075, .1106679 .1879770 .2926919 .4196191 .36 • 37 .0387283 .0761923 .1366250- .2240890 .3375559 .4692834 .37 .38 .0506441 .0960391 .1662065- .2635175, .3844857 .5190555, .38 .39 .0651871 .1192567 .1993760 .3058936 .4328303 .5681999 .39 .40 .0826443 .1459810 .2359858 .3507419 .4818917 .6160222 .4o .41 .1032636 .1762595, .2757739 .3974970 .5309541 .6618959 .41 .42 .1272372 .2100398 .3183681 .4455249 .5793134 .7052831 .42 .43 .1546846 .2471614 .3632950, .4941479 .6263050, .7457493 .43 .44 .1856387 .2873539 .4099961 .5426727 .6713288 .7829725, .44 .45 .2200338 .3302402 .4578476 *5904175, .7138688 .8167450- .45 .46 .2576987 .3753460 .5061848 .6367392 .7535083 .8469698 .46 • 47 .2983545- .4221145- .5543284 .6810568 .7899380 .8736522 .47 .48 .3416176 .4699261 .6016112 .7228712 .8229589 .8968872 .48 .49 .3870092 .5181222 .6474044 .7617796 .8524794 .9168444 .49 • 50 .4339697 .5660303 .6911403 .7974839 .8785075, .9337509 .50 302 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V * 8 p n=36 r-13 n=36 r=12 n=36 r=ll n=36 r=10 n-36 r= 9 n=36 r= 8 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000005- .02 .03 .0000000 .0000000 .0000000 .0000001 .0000009 .0000094 .03 .04 .0000000 .0000000 .0000001 .0000010 .0000092 .0000725- .04 .03 .0000000 .opooooi .0000009 .0000075- .0000535- .0003346 .05 .06 .0000001 .0000007 .0000053 .0000361 .0002146 .0011134 .06 .07 .0000005- .0000035, .0000229 .0001317 .0006671 .0029537 • 07 .08 .0000022 .0000138 .0000780 .0003903 .0017203 .0066368 .08 .09 .0000080 .0000447 .0002232 .0009864 .0038446 .0131337 • 09 .10 .0000249 .0001248 .0005561 .0021984 .0076728 .0235095- .10 .11 .0000682 .0003078 .0012385, .0044243 .0139710 .0387987 .11 .12 .0001671 .0006862 .0025134 .0081825, .0235801 .0598744 .12 .13 .0003732 .0014042 .0047162 .0140937 .0373371 .0873359 .13 .14 .0007702 .0026712 .0082766 .0228444 .0559880 .1214297 .14 .13 .0014845- .0047703 .0137077 .0351345, .0801044 .1620138 .15 .16 .0026950, .0080608 .0215827 .0516167 .1100163 .2085657 .16 .17 .0046409 .0129730 .032*995, .0728337 .1457690 .2602285- .17 .18 .0076251 .0199930 .047037^ .0991615- .1871074 .3158854 .’18 .19 .0120116 .0296385, .0657087 .1307666 .2334895- .3742507 .19 .20 .0182168 .0424277 .0889128 .1675798 .2841235, .4339655- .20 .21 .0266928 .0588423 .1168952 .2092906 .3380249 .4936884 .21 .22 .0379053 .0792896 .1497180 .2553608 i3940835. .5521734 .22 .23 .0523048 .1040659 .1872439 .3050561 .4511356 .6083299 .23 .24 .0702962 .1333271 .2291341 .3574909 .5080328 .6612630 .24 .25 .0922071 .1670660 .2748627 .4116815, .5637025, .7102942 .25 .26 .1182594 .2051022 .3237429 .4666031 .6171965- .7549646 • 26 .27 .1485446 .2470832 .3749644 .5212444 .6677252 .7950239 .27 .28 .1830082 .2924968 .4276370 .5746576 .7146773 .8304078 .28 .29 .2214418 .3406947 .4808374 .6259985- .7576260 .8612097 .29 .30 .2634856 .3909241 .5336552 .6745564 .7963228 .8876477 .30 .31 .3o864o4 .4423649 .5852344 .7197729 .8306827 .9100318 .31 .32 .3562882 .4941697 .6348089 .7612490 .8607619 .9287329 .32 .33 .4057202 .5455035- .6817286 .7987425- .8867327 .9441549 .33 .34 .4561695- •5955795- .7254768 .8321572 .9088555, .9567114 .34 .35 .5068456 .6436908 .7656786 .8615261 .9274529 .9668072 .35 .36 .5569703 .6892343 .8020997 .8869899 .'9428846 •9748245- .36 .37 .6058094 .7317270 .8346391 .9087743 •9555263 .9811135- .37 .38 .6527015, .7708141 .8633150- .9271667 .9657516 .9859869 .38 .39 .6970802 .8062704 .8882471 .9424940 .9739191 .9897179 .39 .40 .7384892 .8379936 .9096368 .9551027 .9803615, .9925399 .40 .41 .7765916 .8659935, .9277463 .9653425- .9853802 .9946485, .41 .42 .8111707 .8903763 .9428782 .9735525- .9892413 .9962051 .42 .43 .8421260 .9113267 .9553577 .9800512 .9921747 .9973403 .43 .44 .8694633 .9290895, .9655157 .9851298 .9943755, .9981579 .44 .45 .8932808 .9439504 .9736765, .9890478 .9960059 .9987395- .45 .46 .9137532 -9562187 .•9801472 .99203-13 .9971984 .9991480 .46 .47 .9311138 .9662122 .9852102 .9942738 .9980593 .9994314 .47 .48 .9456371 .9742438 .9891193 .9959372 .9986728 .9996254 .48 .49 .9576221 .9806116 .9920970 .9971545, .9991041 .9997564 .49 .50 .9673773 .9855916 .9943345, .9980334 •9994034 -9998437 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST s q n-s p n=36 r- 7 n=36 r- 6 ir\ 11 VO 00 it n n=36 r- 4 n=36 r= 3 n=36 r= 2 p .01 .0000001 .0000015, .0000291 .0004562 .0055808 .0503456 .01 .02 .0000064 .0000744 .0007193 .0056568 .0349825, .1617731 .02 .03 .0000848 .0006542 .0042176 .0222201 .0927753 .2940653 .03 .04 .0004911 .0028355, .0137259 .0545645, .1733679 .4249516 .04 .03 .0018081 .0083404 .0323627 .1036788 .2679219 .5432707 .05 .06 .0049979 .0191978 .0622556 .1676575- .3678146 .6445025- .06 .07 .0113339 .0373128 .1041154 .2427906 .4661116 .7279039 .07 .08 .0222338 .0640859 .1572406 .3246280 .5579558 .7947148 .08 .09 .0390434 .1001713 .2197979 .4087914 .6404197 .8470685, .09 .10 .0628281 .1453973 .2892274 .4914886 .7121371 .8873580 .10 .11 .0942133 .1988295, .3626566 .5697676 .7728847 .9178908 .11 .12 .1332974 .2589323 .4372527 .6415783 .-8232010 .9407215, .12 .13 ..1796414 .3237800 .5104806 .7057084 .8640750, .9575901 .13 .14 .. 2323260 .3912774 .5802611 .7616517 .8967131 .9699186 .14 .15 .2900561 .4593565- .6450407 .8094487 .9223754 .9788387 .15 • 16 .3512923 .5260324 .7037925, .8495293 .9422709 .9852321 .16 .17 .4143889 .5900109 •7559687 .8825725- .9574967 .9897737 .17 .18 .4777214 .6497470 .8014256 .9093912 .9690085, .9929724 .18 .19 .5397921 .7044622 .8403360 .9308440 .9776137 .9952067 .19 .20 .5993083 .7536283 .8731018 .9477728 .9839769 .9967548 .20 .21 .6552308 .7970291 .9002740 .9609611 .9886337 .9978191 .21 .22 ,7067943 .8347079 .9224844 .9711105, .9920078 .9985451 .22 .23 .7535049 .8669097 •9403921 .9788307 .9944289 .9990366 .23 .24 .7951192 .8940241 •9546433 .9846371 .9961499 .9993667 .24 .25 .8316114 .9165335- .9658430 .9889569 .9973619 .9995868 .25 .26 .8631327 .9349674 .9745388 .9921367 .9982078 .9997324 • 26 .27 .8899695, .9498673 .9812117 .9944533 .9987928 .9998280 .27 .28 .9125024 .9617591 .9862740 .9961237 .9991938 .9998903 .28 .29 .9311688 .9711339 .9900717 .9973163 .9994662 .9999306 .29 .30 .9464315- .9784360 .9928896 .9981592 .9996496 .9999564 .30 .31 .9587533 .•9840571 .9949580 .9987492 .9997720 .9999729 .31 .32 .9685779 .9883344 .9964600 .9991580 .9998529 .9999832 .32 . 33 .9763161 .9915521 .9975392 .9994386 .9999060 .9999897 .33 .34 .9823381 -9939455- .9983065- .9996292 •9999405- •9999938 .34 .35 .9869690 .9957058 •9988462 .9997575- .9999626 .9999962 .35 .36 .9904885- .9969861 .9992219 .9998429 .9999768 .9999978 .36 .37 •9931321 .9979070 .9994806 .9998993 .9999857 .9999987 .37 .38 .9950947 .9985620 .9996569 •9999361 •9999913 .9999992 .38 .39 .9965348 .9990226 •9997758 .9999598 .9999947 .9999996 .39 .40 -9975792 .9993430 .9998550, •9999750, .9999969 .9999997 .40 .41 .9983278 .9995632 .9999073 .9999846 .9999981 •9999999 .41 .42 .9988581 .9997129 .9999414 .9999907 .9999989 .9999999 .42 .43 .9992292 .9998134 .9999633 .9999944 .9999994 1.0000000 .43 .44 .9994858 .9998802 •9999773 .9999967 .9999996 1 .0000000 .44 .45 .9996611 •9999240 .9999862 .9999980 .9999998 1.0000000 .45 .46 .9997794 •9999524 •9999917 .9999989 •9999999 1.0000000 .46 .47 .9998582 .9999705, •9999950, •9999993 .9999999 1.0000000 .47 .48 •9999100 .9999820 •9999971 .9999996 1.0000000 1.0000000 .48 .49 .9999437 .9999891 •9999983 .9999998 1.0000000 1.0000000 .49 • 50 .9999652 .9999935, •9999990 .9999999 1.0000000 1.0000000 .50 304 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n - 8 p n=36 r= 1 n=37 r=34 n=37 r=33 n=37 r=32 n=37 r=3l n«37 r=30 p .01 .3035868 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .5167869 .0000000 .0000000 • .0000000 .0000000 .0000000 .02 .03 .6659723 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .7699806 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .8422208 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .8922040 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .9266524 .0000000 .0000000 .0000000 .0000000 .0000O00 .07 .08 .9502994 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .9664656 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .9774716 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 •9849325, . 0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .9899683 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .9933520 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .9956153 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .9971221 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .9981204 . 0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .9987787 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .9992106 .0000000 .0000000 .0000000 .0000000 .0000000 .'18 .19 .9994925- .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .9996755- .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .9997937 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .9998696 . 0000000 .OOODOOO .0000000 .0000000 .0000000 .22 .23 .9999180 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 •9999488 .0 100000 .0000000 .0000000 .0000000 .0000000 .24 .25 .9999682 .0000000 .0000000 .0000000 .0006000 .0000000 .25 • 26 .9999804 .0000000 .0000000 .0000000 .0000000 .0000000 • 26 .27 .9999880 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .9999927 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .9999956 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .9999973 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 •9999984 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .9999991 . 0000000 .0000000 .0000000 .0000000 .0000000 .32 • 33 •9999995- .0000000 .0000000 .0000000 .0000000 .0000000 .33 .34 •9999997 .0000000 .0000000 .0000000 .0000000 .0000000 .34 .35 .9999998 .0000000 .0000000 .0000000 .0000000 .0000000 .35 .36 .9999999 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 •9999999 .0000000 .0000000 .0000000 . OOOOOO'O .0000001 .37 .38 1.0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .38 .39 1.0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .39 .40 1.0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .40 .41 1.0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .41 .42 1.0000000 . 0000000 .0000000 .0000000 .0000002 .0000013 .42 .43 1.0000000 .0000000 .0000000 .0000001 .0000004 .0000024 .43 .44 1.0000000 .0000000 .0000000 .0000001 .0000007 .0000043 .44 .45 1.0000000 . 0OQ0000 .0000000 .0000002 .oooo .0002377 .0007814 .0023309 • 0063155- .0155523 .25 .26 .0001210 .0004173 .0013049 .0037049 .0095598 . 0224365 , .26 .27 .0002159 .0007093 .0021133 .0057196 .0140770 . 0315375 , .27 .28 . 0003735 , .0011701 .0033261 .0085929 .0202014 .0432677 .28 .29 .0006275, .0018768 .0050964 .0125848 .0282992 .0580286 .29 .30 .0010256 .0029321 .0076148 .0179949 .0387549 .0761859 .30 .31 .0016333 .0044684 .0111109 .0251568 .0519539 .0980433 .31 .32 .0025380 .0066516 .0158529 .0344281 .0682614 .1238173 .32 .33 .0038537 .0096838 .0221438 .0461765- .0879995, . 1536145 , .33 .34 .0057240 .0138042 .0303149 .0607626 .1114234 .1874146 .34 .35 .0083258 .0192870 .0407148 .0785196 .1386986 .2250595- .35 .36 .0118713 .0264374 .0536957 .0997319 .1698823 .2662505- .36 .37 .0166073 .0355839 .0695961 .1246131 .2049082 .3105544 .37 .38 .0228133 .0470669 .0887214 .1532858 .2435790 .3574174 .38 .39 .0307962 .0612249 »1113235, *1857649 .2855655- .4061869 .39 .4o .0408820 .0783774 * 1375805, *2219450, *3304136 .4561386 .4o .41 .0534046 .0988059 *1675780 .2615946 .3775593 .5065090 .41 .42 .0686908 .1227344 *2012941 .3043569 .4263496 .5565280 .42 .43 .0870443 .1503105- *2385888 *3497579 .4760697 .6054524 .43 .44 .1087266 .1815872 *2791995, .3972217 .5259731 .6525965- .44 .45 .1339380 .2165101 *3227433 ;4460918 .5753140 .6973572 .45 .46 .1627990 .2549074 .3687255, . 4956575 , .6233779 .7392349 .46 .47 .1953343 .-2964870 .4165563 .5451838 ,6695106 .7778457 .47 .48 .2314592 .3408397 .4655718 •5939419 .7131427 .8129283 .48 .49 .2709720 .3874488 .5150604 .6412396 .7538076 .8443424 .49 .50 .3135513 .4357073 .5642927 .6864487 .7911539 .8720625- .50 313 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n -s p n=38 r«15 n=38 r=l4 n=38 r-13 n=38 r=12 n=38 r=ll n=38 r=10 P .01 .0000,000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000.000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .03 .04 .000Q000 .0000000 .0000000 .0000000 .0000002 .0000018 .04 .05 .0000000 . 000(7000 .0000000 .0000002 .0000017 .0000126 .05 .06 .0000000 .0000000 .0000002 .0000013 .0000096 .0000601 .06 .07 .0000000 .0000001 .0000010 .0000067 .0000402 .0002152 .07 .08 .0000001 .0000007 .0000044 .0000857 .0001345- .0006260 .08 .09 .0000004 .0000027 .0000157 .0000816 .0003775, .0015530 .09 .10 .0000016 .0000093 .0000482 .0002231 .0009229 .0033969 .10 .11 .0000054 .0000278 .0001293 .0005399 .0020164 .0067095- .11 .12 .0000156 .0000733 .0003105- .0011800 .0040141 .0121788 .12 .13 .0000407 .0001753 .0006798 .0023678 .0073887 .0205892 .13 .14 .0000971 .0003849 .0013751 .0044164 .0127197 .0327576 .14 .15 .0002139 .0007850- .0025974 .0077325, .02o6655- .0494566 .15 • 16 .0004398 .0015010 .0046209 .0128105, .0319197 .0713324 .16 .17 .0008511 .0027113 .0077974 .0202134 .0471553 .0988317 • 17 .18 .0015600 .0046557 .0125531 .0305415, .0669627 .1321450- .18 .19 .0027239 .0076397 .0193756 .0443916 .0917904 .1711744 .19 .20 .004-5522 .0120336 .0287921 .0623090 .1218947 .2155292 .20 .21 .0073111 .0182640 .0413380 .0847390 .1573038 .2645466 .21 .22 .0113241 . 0267978 .0575201 .1119825- .1978019 .3173361 .22 .23 .0169664 .0381194 .0777769 .1441599 .2429328 .3728406 .23 .24 .0246546 .0527018 .1024389 .1811893 .2920232 .4299058 .24 .25 .0348291 .0709732 .1316952 .2227782 .3442222 .4873527 .25* .26 .0479316 .0932834 .1655672 .2684326 .3985530 .5440447 .26 .27 .0643779 .1198722 .2038945, .3174803 .4539703 .5989457 .27 .28 .0845292 .1508422 .2463329 .3691067 .5094197 .6511644 .28 .29 .1086622 .1861402 .2923653 .4223995, .5638926 .6999839 .29 .30 .1369434 .2255482 .3413250, .4763980 .6164738 .7448765- .30 .31 .1694076 .2686845, .3924284 .5301434 .6663775, .7855040 .31 .32 .2059434 .3150171 .4448148 .5827248 ,7129732 .8217074 .32 *33 .2462881 .3638853 .49.75897 .6333199 -7557971 .8534871 .33 .34 .2900320 .4145309 . 54.98686 .6812258 .7945536 .8809779 .34 .35 -.3366312 .4661342 .6008172 .7253801 .8291065, .9044197 .35 • 36 .3854305- .5178527 .6496863 .7668718 .8594628 .9241295, .36 .37 .4356911 .5688603 .6958390 .8039424 .8857504 •9404733 .37 .38 .4866254 .6183835- .7387688 .8369778 .9081938 .9538416 .38 .39 .5374316 .6657317 .7781094 .8659945, .9270885- •9646288 .39 .40 .5873300 .7103218 .8136350- .8911198 .9427764 .9732169 .40 .41 .6355954 .7516945- .8452533 .9125701 .9556236 .9799631 .41 .42 .6815854 .7895219 .8729928 .9306275, .9660012 .9851920 .42 .43 .7247619 .8236084 .8969847 .9456178 .9742699 .9891909 .43 .44 •7647057 .8538834 .9174428 .9578897 .9807688 .9922083 .44 .45 .8011234 .8803893 .9346424 .9677971 .9858070 .9944546 .45 .46 .8338478 .9032649 .9488990 ,9756843 .9896592 .9961042 .46 .47 .8628301 .9227261 .9605497 .9818758 .9925641 .9972991 .47 .48 .8881290 .9390461 .9699358 .9866678 .9947239 .9981526 .48 .49 .9098938 .9525356 .9773897 .9903240 .9963072 .9987537 .49 • 50 .9283467 .9635243 .9832238 .9930735, .9974512 .9991710 • 50 314 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-8 p n=38 r= 9 n-38 r= 8 n=38 r= 7 n=38 r= 6 n=38 r= 5 n=38 r- 4 p .01 .0000000 .0000000 ,0000001 .0000021 .0000381 .0005626 .01 .02 .0000000 .0000007 .0000094 .0001019 .0009266 .0068688 .02 .03 .0000015- .0000143 .0001217 .0008810 .0053451 .0265711 .03 .04 .0000148 .0001090 .0006923 .0037547 .0171177 .0642812 .04 .03 .0000846 .0004946 .0025050, .0108609 .0397266 .1203809 .05 .06 .0003332 .0016167 .0068057 .0245891 .0752449 .1919519 .06 .07 .0010171 .0042131 .0151710 .0470173 .1239447 .2742440 .07 .08 .0025753 .0093003 .0292585, .0794658 .1844446 .3619824 .08 .09 .0056512 .0180827 .0505203 .1222660 .2541621 .4502822 .09 .10 .J110750- .0318057 .0799546 .1747476 .3298636 .5351640 .10 .11 . .198032 .0515852 .1179454 .2353952 .4081727 .6137502 .11 .12 .0328254 .0782478 .1642084 .3021037 .4859639 .6842447 .12 .13 .0510518 .1122113 .2178368 .3724663 .5606169 .7457877 .13 .14 .0752026 .1534226 .2774211 .4440440 .6301424 .7982565- .14 .15 . 1057152 .2013548 .3412148 .5145830 .6932048 .8420563 .15 • 16 .1426831 .2550603 .4073133 .5821664 .7490716 .8779322 .16 .17 .1858326 .3132633 .47382-11 .6452992 •7975204 .9068142 .17 .18 .2345386 .3744765, .5389914 .7029350, .8387267 .9296982 .18 .19 .2878733 .4371250- .6013272 .7544565, .8731501 . 9'475632 .19 .20 .3446804 .4996617 .6596425- .7996256 .9014315, .9613174 .20 .21 .4036628 .5606655- .7130859 .8385152 .9243066 .9717683 .21 .22 .4634752 .6189140 .7611336 .8714347 .9425378 .9796103 .22 •23 .5228092 .6734298 .8035592 .8988578 .9568656 .9854244 .23 .24 .5804674 .7235008 .8403883 .9213573 .9679758 .9896854 .24 .25 .6354187 .7686781 .8718466 .9395510 .9764807 .9927732 .25 .26 .6868349 .8087559 .8983057 .9540591 .9829105, .9949863 .26 .27 .7341079 .8437395, .9202328 .9654736 .9877132 .9965557 .27 .28 .7768493 ,8738063 .9381464 .9743377 .9912583 .9976569 .28 .29 .8148767 .8992635- .9525801 .9811344 .9938451 .9984215- .29 .30 *8481890 .9205078 .9640546 ,9862816 .9957113 .9989469 .30 .31 .8769358 .9379887 .9730576 .9901324 .9970425- .9993043 .31 .32 .9013832 .9521766 .9800311 .9929790 .9979816 .9995450- .32 .33 .9218804 .'9635381 •9853647 •9950584 .9986369 .9997053 .33 .34 .9388278 .9725169 .9893934 .9965597 .9990890 .9998110 .34 .35 .-9526498 .9795209 .9923992 •9976310 .9993976 .9998801 .35 • 36 .9637720 .9849146 •9946145- .9983866 .9996059 -9999247 .36 .37 .9726032 .9890156 .9962273 .9989134 .9997450- •9999532 .37 .38 •9795236 .9920943 .9973873 .9992763 .9998367 .9999712 .38 .39 .9848760 .9943766 .9982115- .9995235, .9998967 .9999825- .39 .40 .9889620 .9960472 .9987899 .9996899 •9999353 .9999895- .4o .41 .9920407 .9972547 .9991910 .9998005, .9999600 .9999937 .41 .42 .9943305- .9981164 •9994656 .9998732 •9999755, .9999963 .42 .43 .9960112 .9987235- .9996513 •9999204 .9999852 .9999979 .43 .44 .9972288 .9991457 .9997753 .9999506 .9999912 .9999988 .44 .45 .9980992 .9994356 .9998571 .9999698 •9999948 •9999993 .45 • 46 .9987131 .9996319 •9999102 .9999817 .9999970 .9999996 .46 .47 •9991403 •9997631 .9999444 .9999891 •9999983 .9999998 .47 .48 .9994334 .9998496 .9999660 .9999936 .9999990 .9999999 .48 .49 .9996317 .9999059 •9999795, •9999963 .9999995- •9999999 .49 .50 .9997640 .9999419 .9999878 .9999979 .9999997 1.0000000 • 50 315 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s ( 8 )P * p n =38 r- 3 n=38 r= 2 n =38 r= 1 n =39 r =35 n =39 r=34 n =39 r=33 p .01 .0064969 .0554548 .3174454 .0000000 .0000000 .0000000 .01 .02 .0401454 .1760250- .5359221 .0000000 .0000000 .0000000 .02 .03 .1050063 .3163456 .6857134 .0000000 .0000000 .0000000 .03 .04 .1936441 .4523699 .7880142 .0000000 .0000000 .0000000 .04 .03 .2955158 .5728128 .8576043 .0000000 .0000000 .0000000 .05 .06 .4009128 .6737230 .9047514 .0000000 .0000000 .0000000 .06 .07 .5024536 .7551142 .9365616 .0000000 .0000000 .0000000 .07 .08 .5953177 .8189307 .9579334 .0000000 .0000000 .0000000 .08 .09 .6769098 . 8678645 , .9722302 .0000000 .0000000 .0000000 .09 .10 .7463302 .9047049 .9817520 .0000000 .0000000 .0000000 .10 .11 .8038427 .9320111 .9880651 .0000000 .0000000 .0.000000 .11 .12 .8504228 .9519761 .9922314 .0000000 .0000000 .0000000 .12 .13 .8874129 .9663962 .9949681 .0000000 .0000000 .0000000 .13 .14 . 9162795 * .9766960 .9967570 .0000000 .0000000 .0.000000 .14 • 15 .9384553 .9839771 .9979207 .0000000 .0000000 .0000000 .15 .16 .9552486 . 9890745 , .9986738 .0000000 .0000000 .0000000 .16 .17 .9677983 . 9926105 - •9991587 .0000000 .0000000 .0000000 ■ • 17 . l8 .9770612 .9950416 .9994692 .0000000 .0000000 .0000000 .18 .19 .9838187 .9966989 .9996670 .0000000 .0000000 .0000000 .19 .20 .9886938 .9978192 .9997923 .OUUGUOO .0000000 .Q000000 .20 .21 . 9921735 , .9985704 .9998712 • 0000000 .0000000 .0000000 .21 .22 .9946319 •9990701 .9999206 .0000000 .0000000 .0000000 .22 .23 .9963513 .9993997 .9999514 .0000000 .0000000 .Q000000 .23 .24 .9975422 . 9996155 , .9999704 .0000000 .0000000 .0000000 .24 .25 .9983592 •9997557 .9999821 .0000000 .0000000 .0000000 .25 . 26 .9989143 .9998459 .9999893 .0000000 .0000000 .0000000 .26 .27 .9992880 .9999036 .9999936 .0000000 .0000000 .0000000 • 2 Z .28 •9995373 •9999402 .9999962 .0000000 .0000000 .0000000 • cQ .29 .9997020 •9999632 .9999^78 .0000000 .0000000 .0000000 .29 .30 .9998098 • 9999775 , .9999987 .0000000 .0000000 .0000000 .30 • 3 l .9998797 •9999864 .9999992 .0000000 .0000000 .0000000 .31 . 32 .9999246 .9999918 .9999996 .0000000 .0000000 .0000000 .32 • 33 •9999532 .9999952 .9999998 .0000000 .0000000 .0000000 .33 .34 •9999712 .9999971 .9999999 .0000000 .0000.000 .0000000 .34 • 35 . 9999825 - .9999983 .9999999 .0000000 .0000000 .0000000 .35 .36 .9999894 .9999990 1.0000000 .0000000 .0000000 .0000000 .36 .37 .9999937 .9999994 1.0000000 .0000000 .000.0000 .0000000 .37 .38 .9999963 .9999997 1.0000000 .0000000 .0000000 .0000000 .38 .39 .9999978 .9999998 1.0000000 .0000000 .0000000 .0000000 .39 .4o .9999987 •9999999 1.0000000 .0000000 .0000000 .0000000 .40 . 4 l •9999993 .9999999 1.0000000 .0000000 .0000000 .0000000 .41 .42 .9999996 1.0000000 1.0000000 .0000000 .0000000 .0000001 .42 .43 .9999998 1.0000000 1.0000000 .0000000 .0000000 .0000001 .43 .44 .9999999 1.0000000 1.0000000 .0000000 .0000000 .0000002 .44 .45 h z'* .9999999 1.0000000 1.0000000 .0000000 .0000001 .0000004 .45 .46 1.0000000 1.0000000 1.0000000 .0000000 ,0000.001 .0000007 .46 .47 i • n 1.0000000 1.0000000 1.0000000 .0000000 .0000002 .0000013 .47 .48 1.0000000 1.0000000 1.0000000 .0000000 . 0(300004 .0000023 .48 .49 1.0000000 1.0000000 1.0000000 .0000001 .0000007 .0000041 .49 • 50 1.0000000 1.0000000 1.0000000 .0000002 .0000012 .0000071 • 50 — 316 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V s p n=39 r=-32 n=39 1-31 n*39 r=30 11=39 r-29 n=39 r=28 n=39 r-27 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .oocoooo .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0060000 .0000000 .0000000 .0000000 .04 • 03 .0000000 .0000000 .oocoooo .0000000 .0000000 .0000000 .05 .06 .0000000 . 0000000 .0000000 .0000000 . 0000000 .0000000 .06 • 07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 . 0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 . 0000000 . 0000000 . 0000000 .10 .11 .0000000 .0000000 .oocoooo .0000000 . 0000000 . 0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 . 0000000 .0000000 .12 .13 .0000000 .0000000 .0600000 .0000000 . 0000000 . 0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 . 0000000 .0000000 .14 • 15 .0000000 . 0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0600000 .0000000 .0000000 .0000000 .16 .17 .0.000000 .0000000 .odooooo .0000000 . OQOOOOO .0000000 .17 .18 . QOOOOOO . 0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 . Q000000 . 0000000 .0000000 .0000000 .0600000 .0000000 .19 .20 .QOOOOOO . 0000000 .0000000 .0000000 .0600000 .0000000 .20 .21 .QOOOOOO .0000000 .0000000 .0000000 .0600000 .0000000 .21 .22 .QOOOOOO .0000000 .0000000 .0000000 .OQOOOOO .0000000 .22 • ^3 .QOOOOOO . 0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .QOOOOOO .0000000 .0000000 .0000000 . 0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 . 0600000 .0000000 .25 . 26 .QOOOOOO .0000000 .0000000 .0000000 .0600000 .0000000 • 26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 2 Z .28 .QOOOOOO . 0000000 .0000000 .0000000 .0000000 .0000001 .28 .29 . 0000000 . 0000000 .0000000 .0000000 .0000000 .0000002 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .30 • 3l .oocoooo .0000000 .0000000 .0000000 .0000002 .0000010 .31 .32 . 0000000 .0600000 .0000000 .0000001 . 0000004 .0000021 .32 » 33 .QOOOOOO .0000000 .0000000 .0000002 . 0000008 .0000040 .33 .34 .0000000 . 0000000 .0000001 .0000003 .0000016 .0000076 .34 .35 .0000000 . 0000000 .0000001 .0000006 .6000031 .0000140 .35 • 36 .0000000 .0000000 . 0000002 .0000012 .0000059 .0000252 .36 .37 .0000000 . 0000001 .0000004 .0000023 .0000108 .0000443 .37 .38 .0000000 .0000001 .0000009 .0000043 . 0OOO193 .0000762 .38 .39 .0000000 .0000003 .0000016 .0000079 .6000338 .0001282 .39 .4o .0000001 .0000006 .0000^30 .0000141 .0000579 .0002113 .40 .41 .0000002 .0000011 .0000055, .0000247 . 0000974 .0003415, .41 .42 .0000004 . 0000020 .0000098 .0000423 .0001606 .0005418 .42 .43 .0000007 . 0000036 .0000172 .0000713 . 0002601 .0008441 .43 .44 .0000012 . 0000065, .0000296 ..0001178 .0004136 .0012921 .44 .45 .0000022 . 0000114 .0000499 .0001912 .0006464 .0019447 .45 .46 .0000040 . 0000196 .0000828 -0003052 .0009936 .0028793 .46 .47 .0000071 .0000333 .0001351 -0004793 .0015028 .0041956 .47 .48 .0000123 . 0000555- .0002167 .0007407 .0022372 .0060201 .48 .49 .0000209 .0000910 .0003423 .0011270 .0032800 .0085088 .49 • 50 .00003^ .0001470 .0005325, .0016889 . 0047377 .0118514 .50 317 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r 8q n-s p n=39 r-26 n=39 r=25 n-39 r=24 rr=39 r-23 iv=39 r-22 11=39 r-21 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 ,0000000 .03 .04 .0000000 .0600000 .0000000 .0000000 .0000000 ,0000000 .04 • 05 .0000000 .0600000 .0000000 .0000000 .0000000 ,0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 ,0000000 .06 • 07 .0000000 .0000000 .0000000 .0000000 .0000000 ,0000000 .07 .08 .0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .08 .09 .0000000 .0600000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 . 0000000 .0000000 .0000000 .11 .12 .0000000 .0600000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 -.0000000 .0000000 .13 .14 .0000000 .0600000 .0000000 .0000000 .00^0000 .0000000 .14 • 15 .0000000 .0000000 . 0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 16 .17 .0000000 .0000000 .0000000 .000000'' .0000000 .0000002 .17 .18 .0000000 .0600000 . 0000000 .0000000 .0000001 .0000005- .18 .19 .0000000 .0600000 .0000000 . 0000000 . 000 r '002 .0000012 .19 .20 .0000000 .0000000 .0000000 .0000001 .0000006 .0000029 .20 .21 .0000000 .0600000 .0000000 .0000003 .0000014 .0000066 .21 .22 .0000000 .0600000 .0000001 .00000^7 .0000032 .0000143 .22 .23 .0000000 .0000001 .0000003 .00^0015- .0000069 .0000292 .23 .24 . 0.000000 .0000001 .0000007 .0000033 .0000144 .0000574 .24 .25 .0000001 .6000003 .0000015- .0000069 .0000287 .0001086 .25 .26 .0000001 .0000006 .0000031 .0000138 .0000550- .0001980 .26 .27 .0000003 .0000014 .0000064 .0000269 .0001018 .0003491 .27 .28 .0000006 .0000029 .0000127 .0000506 .0001824 .0005966 .28 .29 .0000012 .6000058 .0000242 .0000921 .0003170 .0009898 .29 .30 .0000025, .0000112 .0000449 .0001629 .0005353 .0015975, .30 • 3i .0000049 .0000210 .0000807 .0002799 .0008799 .0025121 .31 .32 .0000094 .0000384 .0001411 .0004685, .0014098 .0038544 .32 • 33 .0000175, .0000684 .0002405, .0007647 .0022046 .0057776 .33 .34 .0000317 .6001186 .0003999 .0012187 .0033691 .0084712 .34 • 35 .0000560 .0002009 .0006494 .0018986 .0050375- .0121622 .35 • 36 .0000967 .0003325- .0010313 .<*028947 .0073766 .0171151 .36 • 37 .0001630 .0005383 .0016032 .0043232 .0105890 .0236286 .37 .38 .0002690 .0008533 .0024420 .0063303 .0149135, .0320297 .38 • 39 .0004348 .0013256 .0036477 .0090956 .0206243 .0426634 .39 .40 .0006890 .6020200 .0053472 .0128336 .0280265- .0558802 .40 .4l .0010712 .6030213 .0076984 .0177940 .0374493 .0720191 .41 .42 .0016351 .6044389 .0108923 .0242598 .0492351 .0913891 .42 .43 .0024519 .0064100 .0151547 .0325425- .0637262 .1142488 .43 .44 .0036143 .6091031 .0207461 .0429736 .0812478 .1407853 .44 .45 li /" .0052402 .6127206 .0279583 .0558941 .1020887 .1710954 .45 .46 .0074766 .0174994 .0371093 .0716396 .1264820 .2051689 .46 .47 1, Q .0105025, .0237106 .0485343 .0905233 .1545842 .2428761 .47 .48 .0145315- .0316556 .0625742 .1128169 .1864569 .2839618 .48 • 49 .0198119 .o4i66oo .0795600 .1387303 .2220517 .3280456 .49 • 50 .0266260 .0540645, .0997954 .1683918 .2611987 .3746293 .50 218 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V " 8 p n=39 r=20 n=39 r=19 n=39 r=l8 n=39 r=17 n-39 r*l6 n-39 r=15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 • 05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 • 07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000004 .0000024 .10 .11 .0000000 .0000000 .0000000 .0000002 .0000014 .0000078 .11 .12 .OOOO0OG .0000000 .0000001 .0000006 .0000045- .0000225, .12 .13 .0000000 .0000001 .0000004 .0000025, .0000127 .0000582 .13 .14 .0000000 .00000^2 .0000014 .0000070 .0000326 .0001374 .14 • 15 .0000001 .0000007 .0000038 .0000178 .0000768 .0002995, .15 .16 .0000004 .0000020 .0000095, .0000420 .0001682 .0006096 • 16 • 17 .0000010 .0000050- .0000225- .0000925- .0003451 .0011673 .17 .18 .0000025 .0000117 .0000497 .0001914 .0006685- .0021172 .18 • 19 .0000060 .0000261 .0001039 .0003750, .0012295- .0036579 .19 .20 .0000134 .0000550, .0002058 .0006992 .0021581 .0060485- .20 .21 • 0000284 .0001103 .0003889 .0012465- .0036310 .0096112 .21 .22 .0000576 .0002111 .0007037 .0021327 .0.058773 .0147283 .22 .23 .0001117 .0003877 .0012239 .0035144 .0091820 .0218316 .23 .24 .0002081 .0006853 .0020523 .0055943 .0138844 .0313859 .24 .25 .0003736 .0^11688 .0033271 .0086247 .0203715- .0438651 .25 • 26 .0006480 .0019289 .0052271 .0129077 .0290652 .0597231 .26 .27 .0010884 .0030870 .0079761 .0187913 . o4o4o44 .0793614 .27 .28 .0017737 .oo48oo8 .0118433 .0266600 .0548209 .1030968 .28 .29 .002S105- .0072680 .0171420 .0369207 .0727123 .1311308 .29 • 30 .0043369 .0107288 .0242229 .0499842 .0944131 .1635248 .30 • 3l .0065276 .0154652 .0334639 .0662416 .1201662 .2001834 .31 • 32 .0095960 .0217969 .0452547 .0860393 .1500976 .2408469 .32 . 33 .0137956 .0300746 .0599781 .1096525- .1841968 .2850952 .33 .34 .0194178 .0406671 .0779872 .1372604 .2223045, .3323616 .34 .35 .0267867 .0539465- .0995823 .1689249 .2641096 •3819573 .35 • 36 .0362504 .0702687 .1249860 .2045748 .3091553 .4331024 .36 • 37 .0481684 .0899524 .1543223 .2439973 .3568550- .4849637 .37 .38 .0628956 .1132559 .1875972 .2868376 .4065164 .5366934 .38 * 3 - 9 .0807634 .1403557 .2246871 .3326078 .4573723 .5874686 .39 .40 .1020586 .1713263 .2653325- .3807036 .5086152 .6365267 .40 .41 .1270024 .2061248 .3091401 .4304287 .5594344 .6831960 .41 .42 .1557295, .2445805- .3555938 .4810245, .6090521 .7269188 .42 .43 .1882702 .2863915, .4040720 .5317043 .6567555, .7672659 .43 .44 .2245367 .3311293 .4538723 .5816874 .7019245, .8039439 .44 .45 .2643150 .3782501 .5042418 .6302335- .7440520 .8367931 .45 .46 .3072637 .4271142 .5544089 .6766721 .7827568 .8657796 .46 .47 i, n .3529196 .4770112 .6036174 .7204281 .8177884 .8909812 .47 .48 .4007111 .5271894 .6511583 .7610398 .8490246 .9125692 .48 • 49 .4499785- .5 68882 .6963979 .7981697 .8764626 .9307883 .49 • 50 .5000000 .6253707 .7388013 .8316082 .9002046 .9459355- • 50 : 7 i9 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n -39 r=l 4 n =39 r=l 3 n =39 r=12 n =39 r=ll n =39 r-10 n =39 r= 9 P .01 .0000000 . 0000000 . 0000000 .0000000 .0000000 . 0000000 .01 .02 .ooocooo .0000000 .0000000 .0000000 .0000000 .0000001 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000002 .0000018 .03 .04 .0000000 .0000000 .0000000 .0000002 .0000023 .0000186 .04 .03 .00^0000 .0000000 .0000003 .0000022 .0000162 .0001051 • 05 .06 .0000000 .0000002 .0000018 .0000126 . 0000765 - .0004102 .06 .07 .0000002 .0000014 .0000090 . 0000525 - .0002714 .0012408 .07 .08 .0000010 .0000061 .0000344 .0001738 .0007820 .0031133 .08 .09 .0000039 .0000217 .0001082 .0004833 .0019218 .0067701 .09 .10 .0000132 .0000657 .0002931 .0011703 .0041647 .0131480 .10 .11 .0000389 .0001744 .0007023 .0025326 .0081498 .0232992 .11 .12 .0001018 .0004148 .0015201 .0049938 .0146564 .0382761 .12 .13 .0002409 .0008992 .0030206 .0091048 .0245493 .0590025. .13 .14 . 0005235 , .0018609 .0055789 . 0155250 - .0386999 .0861534 .14 .15 .0010569 .0033677 .0096725- .0249841 .0578954 .1200611 .15 .16 .0020002 .0059312 .0158680 .0382258 . 0827485 , .1606634 • 16 .17 .0035759 .0099081 .0247935, .0559403 .1136219 . 2074958 .17 .18 .0060772 .0157910 .0370973 . 0786955 - .1505758 .2597274 .'18 .19 .0098695, .0241287 .0533974 .1068734 .1933472 .3162311 .19 .20 .0153853 .0354955- .0742262 . 1406216 . 2413595 - .3756766 .20 .21 .0231095, .0504522 .0999776 .1798248 .2937610 .4366334 .21 .22 .0335567 .0695018 .1308627 .2240994 .3494867 .^976717 .22 .23 .24 .0472406 .0646387 .0930450- .1213390 .1668777 .2077894 .2728116 . 3251150 , .4073334 . 466 o 4 o 6 .5574519 .6147954 .23 .24 .23 .0861537 .1544659 .2531392 .3800048 .5243692 . 6687335 , .25 .26 .1120772 .1923122 .3022639 .4363808 .5811701 .7185344 • 26 .27 .1425582 .2345627 .3543326 .4931136 . 6354395 - . 7637085 - .27 .28 .1775796 .2807096 .4683944 .5491082 .6863562 .8039973 r O .29 .2169455, .3300752 . 4634325 , .6033591 .7333028 .8393489 .29 .30 .2602812 .3818469 •5184207 .6549946 .7758703 .8698847 .30 .31 .3070451 .4351200 .5723760 .7033067 .8138478 .8958622 .31 .32 .3565523 .4889460 .6244043 .7477681 .8472036 .9176371 • 32 .33 .4080077 .5423807 .6737374 .7880348 .8760569 . 9356275 - .33 .34 .4605457 .5945301 .7197572 .8239378 .9006469 .9502821 .34 .35 .5132732 .6445892 * 76200 Q 3 .8554662 .9213003 .9620547 .35 .36 .5653128 .6918731 .8002046 .8827428 .9384008 •9713833 .36 .37 .6158424 .7358372 .8342113 •9059979 .9523614 .9786758 .37 .38 .6641299 .7760882 .8640399 •9255399 .9636008 . 9843005 , .38 .39 .7095590 .8123846 .8898212 .9417292 .9725252 .9885813 .39 .40 .7516471 .8446289 .9117825- .9549526 •9795149 .9917961 .40 .41 .7900536 .8728532 •9302220 .9656028 .9849149 . 9941785 - .41 .42 .8245797 .8971994 •9454844 .9740613 .9890301 .9959206 .42 .43 .85516^2 .9178970 .9579332 .9806859 •9921236 . 9971775 , .43 .44 .8818496 .9352395- • 9679565 , .9858022 .9944173 .9980723 .44 .45 .9048032 .9495620 . 9759015 , .9896984 .9960947 .9987006 .45 .46 .9242566 .9612203 .9821128 .9926239 .9973043 .9991358 .46 .47 .9405032 .9705736 .9868993 . 9947895 , .9981644 .9994330 .47 .48 .9538732 .9779672 .9905347 .9963697 .9987673 .9996332 .48 • 49 .9647141 .9837275- •9932557 .9975060 •9991839 .9997660 .49 • 50 .9733740 •9881486 •9952623 .9983111 . 9994675 - .9998530 .50 1 J 320 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=39 r= 8 n=39 r= 7 n-39 r- 6 n=39 r- 5 11=39 r-4 n-39 r- 3 p .01 .0000000 .0000001 .0000025- .0000434 .0006220 .0069865- .01 .02 .0000009 .0000112 .0001184 .0010454 .0075344 .0428630 .02 .03 .0000175, .0001445- .0010149 .0059818 .0289241 .1113465- .03 .04 .0001324 .0008148 .0042892 .0190042 .0694558 .2039932 .04 .05 .0005951 .0029228 .0123042 .0437593 .1291376 .3093807 .05 .06 .0019280 .0078727 .0276285- .0822473 .2044895, .4172814 .06 .07 .0049802 .0174005 .0524022 .1344656 .2902187 .5201399 .07 .08 .0108970 .0352751 .0878641 .1986476 .3806492 .6132067 .08 .09 .0210021 .0569774 .1341366 .2718129 .4706786 .6940957 .09 .10 .0366206 .0894339 .1902592 .3503936 .5562806 .7621677 .10 .11 .0588849 .1308648 .2544008 .4307863 .6346604 .8179412 .11 .12 .0885631 .1807559 .3241669 .5097576 .7041860 .8626092 .12 .13 .1259426 .2379386 .3969259 .5846891 .7641990 .8976807 .13 .14 .1707823 .3007483 .4700978 .6536784 .8147797 .9247378 .14 • 15 .2223338 .3672201 .5413763 .7155325, .8565161 .9452836 .15 .16 .2794208 .4352898 .6088712 .7696893 .8903029 .9606608 .16 .17 .3465581 .5029724 .6711768 .8161004 .9171815, •9720164 .17 .18 .4040892 .5685012 .7273775, .8551016 .9382236 .9802977 .'18 .19 .4683234 .6304218 .7770083 .8872886 .9544518 .9862659 .19 .20 •5316579 .6876391 .8199868 .9134087 .9667927 .9905189 .20 .21 .5926738 .7394260 .8565314 .9342736 .9760534 .9935169 .21 .22 .6502023 .7853998 .8870773 .9506938 .9829150, .9956083 .22 .23 •7033595, .8254779 .9121996 .9634341 .9879376 .9970524 .23 .24 *7515538 .8598209 .9325457 .9731861 .9915710 .9980398 .24 .25 .7944702 .8887727 .9487834 .9805538 .9941697 .9987083 .25 .26 .8320388 .9128016 .9615605- .9860502 .9960076 *9991565, .26 .27 .8643927 .9324478 .9714783 .9901007 .9972934 .9994542 .27 .28 .8918215., .9482800 •9790755- .9930499 .9981834 .9996501 .28 .29 .9147253 .9608609 .9848205, .9951723 .9987928 •9997777 .29 .30 .9335719 .9707227 .9891105, .9966820 .9992058 .9998601 .30 .31 .9488600 .9783508 .9922746 .9977437 .9994827 .9999128 .31 .32 .9610900 .9841744 .9945798 .9984819 .9996664 •9999461 .32 .33 .9707409 .9885636 .9962393 ..9989895- .9997871 .9999670 .33 .34 .9782549 .9918300 .9974197 .9993545, .9998655, .9999800 .34 .35 .9840283 .9942304 .9982493 .9995665- .9999159 .9999880 .35 .36 .9884066 .9959724 .9988256 .9997207 .9999480 .9999929 .36 .37 .9916839 .9972211 .9992211 .9998220 .9999682 .9999958 .37 .38 .9941056 .9981051 .9994893 .9998878 .9999807 .9999976 .38 .39 .9958722 .9987232 .9996690 .9999301 .9999885- .9999986 .39 .4o •9971443 .9991499 .9997881 .9999570 .9999932 .9999992 .40 .41 .9980486 .9994409 .9998659 .9999738 .9999960 .9999996 .41 .42 .9986831 .9996368 .9999162 .9999843 .9999977 .9999998 .42 .43 .9991225- .9997670 .9999483 .9999907 .9999987 •9999999 .43 .44 .9994228 .9998525- .9999685- .9999945, .9999993 •9999999 .44 .45 .9996252 .9999078 .9999810 .9999968 .9999996 1.0000000 .45 .46 .9997599 .9999431 .9999887 .9999982 .9999998 1.0000000 .46 .47 .9998483 .9999654 .9999934 .9999990 .9999999 1.0000000 .47 .48 .9999055- •9999792 .9999962 .9999994 .9999999 1.0000000 .48 .49 •9999420 .9999877 .9999978 .9999997 1.0000000 1.0000000 .49 .50 •9999649 .9999929 .9999988 .9999998 1.0000000 1.0000000 .50 321 BINOMIAL DISTRIBUTION Table £ - Partial Sums n Z s-r V s p n=39 r = 2 n=39 r~ 1 n=40 r-36 n=40 r=35 n=40 r=54 n=40 r=33 p .01 .0580747 .3242710 .0000000 .0000000 .0000000 .0000000 .01 .02 .1832229 <5452037 .0000000 .0000000 .0000000 .0000000 .02 .03 .3274266 .6951420. .0000000 .0000000 .0000000 .0000000 .03 .04 .4657957 .7964936 .0000000 .0000000 .0000000 .0000000 .04 .03 .5870523 .8647240 .0000000 .0000000 .0000000 .0000000 .05 .06 .6875847 .9104663 .0000000 .0000000 .0000000 .0000000 .06 .07 .7678155, <9410023 .0000000 .0000000 .0000000 .0000000 • 07 .08 .8300509 .9612987 .0000000 .0000000 .0000000 .0000000 .08 .09 .8772574 .9747295- .0000000 .0000000 .0000000 .0000000 .09 .10 .9124096 .9835768 .0000000 .0000000 .0000000 .0000000 .10 .11 .9381770 .9893779 .0000000 .0000000 .0000000 .0000000 .11 .12 .9568067 .9931637 .0000000 .0000000 .0000000 .0000000 .12 .13 .9701105, .9956223 .0000000 .0000000 .0000000 .0000000 .13 .14 9795045, .9972111 .0000000 .0000000 .0000000 .0000000 .14 .15 .9860686 .9982326 .0000000 .0000000 .0000000 .0000000 .15 .16 .9906104 .9988860 .0000000 .0000000 .0000000 .0000000 .16 .17 .9937237 .9993017 .0000000 .0000000 .0000000 .0000000 .17 .18 .9958386 .9995647 .0000000 .0000000 .0000000 .0000000 .18 .19 .9972628 •9997303 .0000000 .0000000 .0000000 .0000000 .19 .20 .9982138 .9998338 .0000000 .0000000 .0000000 .0000000 .20 .21 .9988436 .9998983 .0000000 .0000000 .0000000 .0000000 .21 .22 .9992572 •9999381 .0000000 .0000000 .0000000 .0000000 .22 .23 .9995266 .9999626 .0000000 .0000000 .0000000 .0000000 .23 .24 .9997007 •9999775, .0000000 .0000000 .0000000 .0000000 .24 .25 .9998123 .9999866 .0000000 .0000000 .0000000 .0000000 .25 .26 .9998832 .9999921 . OOOOOOQ^ .0000000 .0000000 .0000000 .26 .27 .9999279 •9999953 .0000000 .0000000 .0000000 .0000000 .27 .28 .9999559 .9999973 .0000000 .0000000 .0000000 .0000000 .28 .29 •9999732 .9999984 .0000000 .0000000 .0000000 .0000000 .29 .30 .9999839 .9999991 .0000000 .0000000 .0000000 .0000000 .30 .31 .9999904 .9999995- .0000000 .0000000 .0000000 .0000000 .31 .32 .9999943 •9999997 .0000000 .0000000 .0000000 .0000000 .32 ^ 33 .9999967 •9999998 .0000000 .0000000 .0000000 .0000000 .33 .34 .9999981 •9999999 .0000000 .0000000 .0000000 .0000000 .34 .35 .9999989 •9999999 .0000000 .0000000 .0000000 .0000000 .35 .36 .9999994 1.0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .9999996 l.oooooocf .0000000 .0000000 .0000000 .0000000 .37 .38 .9999998 1.0000000 .0000000 .0000000 .0000000 .0000000 .38 .39 •9999999 1.0000Q00 .0000000 .0000000 .0000000 .0000000 .39 .40 .9999999 1.0000000 .0000000 .0000000 .0000000 .0000000 .40 .41 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000001 .41 .42 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000002 .42 .43 1.0000000 1.0000000 .0000000 .0000000 .0000001 .0000003 .43 .44 1.0000000 1.0000000 .0000O00 .0000000 .0000001 .0000007 .44 .45 1.0000000 1.0000000 .0000000 .0000000 .0000002 .0000012 .45 .46 1.0000000 1.0000000 .0000000 .0000001 .0000004 .0000022 .46 .47 1.0000000 1.0000000 .0000000 .0000001 .0000007 .0000040 .47 .48 1.0000000 1.0000000 .0000000 .0000002 .0000013 .0000071 .48 .49 1.0000000 1.0000000 .0000000 .0000004 .0000024 .0000124 .49 .50 1.OOOQOOO 1.0000000 .0000001 .0000007 .0000042 .0000211 .50 BINOMIAL DISTRIBUTION Table S - Partial Sums n 2 s-r n-s q p n =40 r-32 n =40 r=3l n =40 r=30 n =40 r=29 f . n =40 r-28 n =40 r-27 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .29 .30 .0000000 .0000000 .0000000 .0000000 .0000002 .0000011 .30 .31 .0000000 .0000000 .0000000 .0000001 .0000005- .0000022 .31 .32 .0000000 .0000000 .0000000 .0000002 .0000009 .0000044 .32 .33 .0000000 .0000000 .0000001 .0000004 .0000019 .0000085- .33 .34 .0000000 .0000000 .0000001 .0000008 .0000037 .0000158 .34 .35 .0000000 .0000000 .0000003 .0000015, .0000069 .0000287 .35 .36 .0000000 .0000001 .0000006 .0000029 .0000128 .0000509 .36 .37 .0000:000 .0000002 .0000011 .0000054 .0000232 .0000882 .37 .38 .0000001 .0000004 .0000022 .0000100 .0000409 . 0001495 - .38 .39 .0000001 .0000008 .0000041 .0000180 .0000706 .0002478 .39 .40 .0000003 .0000016 .0000075- .0000316 .0001193 .0004024 .40 .41 . 0000005 , .0000029 .0000134 .0000545- .0001975- .0006407 .41 .42 .0000010 .0000053 .0000235- .0000920 .0003207 .0010010 .42 .43 .0000019 .0000095- .0000404 .0001524 .0005112 .0015354 .43 .44 .0000036 .0000167 .0000684 .0002479 .0008001 .0023138 .44 .45 .0000064 .0000287 .0001135, .0003961 .0012306 .0034277 .45 .46 .0000112 40000487 .0001851 .0006219 .0018610 .0049940 .46 .47 .0000194 .0000811 .0002969 .0009603 .0027684 .0071599 .47 .48 .0000330 .0001329 .0004682 .0014590 .0040530 .0101055, .48 .49 .0000555 .0002142 .0007268 .0021820 .0058421 •0140473 .49 .50 .0000911 .0003398 .0011107 .0032133 .0082945, .0192387 .50 323 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n =40 r -26 n =40 r=25 n =40 r =24 n -40 r-25 OJ OJ 11 u 0 ■=? II c n =40 r =21 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 . 16 .17 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000002 .0000009 .18 .19 .0000000 .0000000 .0000000 .0000001 .0000004 .0000021 .19 .20 .0000000 .0000000 .0000000 .0000002 .0000011 .0000050, .26 .21 .0000000 .0000000 .0000001 .0000005, .0000025, .0000112 .21 .22 .0000000 .0000000 .0000002 .0000012 .0000056 .0000238 .22 .23 .0000000 .0000001 .0000006 .0000027 .0000121 .0000482 .23 .24 .0000000 .0000005 .0000015 .0000059 .0000247 .0000936 .24 .25 .0000001 .0000006 .0000028 .0000123 .0000486 .0001749 .25 .26 .0000005 .0000015 .0000059 .0000245, .0000921 .0003150, .26 .27 .0000006 .0000028 .0000120 .0000471 .0001685, .0005487 .27 .28 .0000012 .0000056 .0000255 .0000875- .0002983 .0009262 r Q • aO .29 .0000025, .0000111 .0000459 .0001573 .0005121 .0015178 .29 .30 .0000051 .0000215 .0000805 •0002746 .0008540 .0024194 .30 .31 .0000099 .0000595, . 0001425 - •0004659 .0013859 .0037569 .31 .32 .0000187 .0000715 .0002459 .0007697 .0021920 .0056917 .32 .33 .0000-545 .0001252 . 0004135 - .0012399 .0033837 .0084236 .33 .34 .0000615 .0002145 .0006783 .0019498 .0051039 .0121931 .34 .35 .0001067 .0005579 .0010866 .0029972 .0075312 .0172808 .35 • 36 .0001816 .0005841 .0017021 .0045082 .0108825- .0240038 .36 .37 .0005019 .0009525 .0026096 . 0066415 , .0154136 .0327084 .37 .38 .0004910 .0014570 .0039196 .0095919 .0214176 .0437587 .38 .39 .0007822 .0022512 .0057724 .0135918 .0292195, .0575224 .39 .40 .0012214 .0055509 .0083418 .0189108 .0391680 .0743516 .40 .41 .0018708 .0049589 .0118376 .0258526 .0516229 .0945623 .41 .42 .0028127 .0071495 .0165066 .0347494 .0669398 .1184121 .42 .43 .0041539 .0101702 .0226315- .0459515- .0854509 .1460780 .43 .44 .0060294 .0142260 .0305262 .0598142 .1074443 .1776359 .44 .45 .0086064 .0195775, .04,05294 .0766817 .1331417 .2130443 .45 • 46 .0120871 .0265199 .0529932 .0968671 .1626780 .2521325, .46 .47 .0167105 .0553778 .0682692 .1206319 .1960814 .2945965, .47 .48 .0227510 . 0464965 , .0866907 .1481641 .2332593 .3400015- .48 .49 .0505175- .0602510 .1085534 .1795578 .2739887 .3877927 .49 • 50 .0405452 .0769500 .1340936 .2147953 .3179140 .4373147 .50 ?24 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST s q n-s p n =40 r =20 n- 4 o r-19 n- 4 o r-l 8 n-= 4 o r t ?L 7 n- 4 o r=l 6 n"= 4 o r -15 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .eoooooo .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0,000000 .0000000 .oocoooo .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000006 .0000035- .10 .11 .0000000 .0000000 .0000001 .0000004 .0000021 .0000112 .11 .12 .0000000 .0000000 .0000002 .0000013 .0000067 .0000320 .12 .13 .0000000 .0000001 .0000007 .0000038 .0000186 .0000820 .13 .14 .0000001 .0000004 .0000021 .0000106 .0000472 .0001914 .14 .15 .0000002 .0000012 .0000059 .0000267 .0001102 .0004131 .15 • 16 .0000006 .0000032 .0000147 .0000622 .0002388 .0008321 .16 .17 .0000017 .0000079 .0000344 .0001354 .0004849 .0015768 .17 .18 .0000042 .0000186 .0000752 .0002773 .0009292 .0028300 .18 .19 .0000098 .0000409 .0001554 .0005374 .0016909 .0048381 .19 .20 .0000217 .0000852 .0003045- .0009910 .0029362 .0079159 .20 .21 .0000456 .0001688 .0005690 .0017472 .0048868 .0124459 .21 .22 .0000914 .0003195, .0010181 .0029565, .0078245, .0188705, .22 .23 .0001752 .0005801 .0017507 .0048179 .0120914 .0276757 .23 .24 .0003226 .0010134 .0029024 .0075839 .0180848 .039366b .24 .25 .0005724 .0017084 . 0046515 - .0115614 .0262449 .0544-372 .25 .26 .0009811 .0027864 .0072241 .0171087 .0370363 > 0733-351 .26 .27 .0016280 .0044070 .0108962 .0246269 .0509228 .0964245, • 27 .28 .0026213 .0067727 .0159920 .0345451 .0683382 .1239520 .28 .29 .0041032 .0101315- .0228778 .0473003 .0896537 .1560171 .29 .30 .0062545, .0147770 .0319513 .0633129 .1151466 .1925518 .30 .31 .0092982 .0210448 .0436250- .0829582 .1449716 .2333106 .31 .32 .0135003 .0293034 .0583058 .1065379 .1791374 .2778727 .32 .33 .0191677 .0399427 .0763706 .1342521 .2174933 .3256563 .33 .34 .0266426 .0533559 .0981401 .1661754 .2597239 . 37594-42 .34 .35 .0362926 .0699160 .1238522 .2022396 .3053563 .4279179 .35 • 36 .0484970 .0899670 .1536380 .2422238 .3537762 .4806982 .36 .37 . 0636285 - .1137692 .1875020 .2857546 .4042552 .5333889 .37 .38 .0820325, 1415056 .2253086 .3323155. .4559837 .5851193 .38 .39 . 104004 ^ .1732449 .2667762 .3812660 .5081098 .6350838 .39 .40 .1297657 .2089288 .3114809 .4318683 .5597798 .6825748 .40 .41 .1594426 .2483611 .3588684 .4833210 .6101767 .7270076 .41 .42 .1930469 .2912061 .4082747 .5347961 .6585561 .7679364 .42 .43 .2304624 .3369941 .4589539 .5854763 .7042750- .8050605- .43 .44 .2714374 .3851362 .5101110 . 634591 ? .7468130 .8382224 .44 .45 .3155858 .4349463 .5609380 .6814518 .7857855, .8673976 .45 .46 . 3623950 - .4856698 .6106499 .7254711 .8209473 .8926790 .46 .47 .4112427 .5365161 .6585184 .7661874 .8521890 .9142565, .47 .48 .4614207 .5866945- .7039014 . 8032725 , .8795260 .9323951 .48 .49 .5121643 .6354480 .7462661 .8365332 .9030822 .9474119 .49 • 50 .5626853 .6820860 .7852047 .8659064 .9230700 .9596548 .50 325 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z ST v~ s p n=4o r~l4 00 1 —t ir k 0 -=*- 11 c n=4o r«12 n=40 r=ll n=40 r=10 n=40 r-9 P .01 .poooooo .0000000 * 0G000O0 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000006 .0000000 .0000000 .0000000 .0000001 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000002 .0000023 .03 .04 .0000000 .0000000 .0000000 .0000003 .0000029 .0000232 .04 .05 .0000000 .0000006 .0000004 .0000029 .0000207 .0001296 .05 .06 . Q000000 .0000003 .0000025- .0000164 .0000965 .0005013 .06 .07 . 00)00003 .0000019 .0000121 .0000678 .0003392 .0015026 .07 .08 .0000014 .0000083 .0000455, .0002224 .0009685_ .0037360 .08 .09 .0000055- .0000295- .0001420 .0006128 .0023581 .0080509 .09 .10 .0000185- .0000884 .0003808 .0014697 .0050631 .0154953 .10 .11 .0000538 .0002325- .0009036 .0031505- .0098162 .02721^7 .11 .12 .0001394 .0065475- .0019370 .0061534 .0174908 .0443105, .12 .13 .0003265- .0011750, .0038115, .0111126 .0290282 .0677047 .13 .14 .0007024 .0023298 .0069713 .0187695- .0453434 .0980014 .14 .15 .0014035- .0043134 .0119692 .0299208 .0672203 .1354020 .15 .16 .00.26291 .0075211 .0194452 .0453494 .0952149 .1796646 .16 .17 . 00.46524 .0124386 .0300885- .0657462 .1295804 .2301164 .17 .18 .0078257 .0196261 .0445850, .0916340 .1702231 .2857125, .18 .19 .0125788 .0296897 .0635578 .1233034 .2166952 .3451287 .19 .20 .0194074 .0432416 .0875052 .1607691 .2682229 .4068729 .20 .21 .0288515- .0608525, .1167455, .2037514 .3237642 .4694019 .21 .22 .0414646 .0836012 .1513748 .2516846 .3820874 .5312284 .22 .23 .0577756 .1100265- .191.2425, .3037516 .4418607 .5910107 .23 .24 .0782468 .1420871 .2359476 .3589372 .5017418 .6476174 .24 .25 .103.2317 .1791342 .2848556 .4160959 .5604603 .7001677 .25 .26 .132.9383 .2208*996 .3371343 .4740260 .6168848 .74804-55, .26 .27 .1673994 .2669606 .3918035- .5315416 .6700721 .7908932 .27 .28 .2064560 .3164613 .4477942 .5875376 .7192957 .8285881 .28 .29 .2497531 .3687488 .5040112 .6410428 .7640562 .8612080 .29 .30 .2967509 .4228191 .5593929 .6912573 .8040746 .8889908 .30 .31 .3467483 .4776694 .6129645, .7375745- .8392723 .9122915, .31 .32 .3989183 .5322926 .6638807 .7795875j .8697424 .9315421 .32 .33 .4523508 .5857284 .7114555, .8170821 .8957152 .9472149 .33 .34 .5o6L0O4 .6371073 .7551786 .8500189 .9175228 .9597929 .34 .35 .5592338 .6856863 .7947192 .8785081 .9355643 .9697455- .35 .36 .6108745- .7308724 .8299183 .9027797 .9502745, .9775117 .36 .37 .6602405, .7722357 .8607724 .923.1524 .9620977 .9834888 .37 .38 .7066741 .8095099 .8874099 .9400030 .9714667 .9880265- .38 .39 .7496610 .8425848 .9100653 •9537396 .9787871 .9914247 .39 .4o .7888398 .8714903 .9290505, .9647775, .9844274 .9939354 .40 .41 .8240014 .8963744 .9447281 .9735208 .9887130 .9957652 .41 .42 .8550800 .9174791 .9574867 .9803482 .9919241 .9970808 .42 .43 .8821370 .9351147 .9677198 .9856041 .9942968 .9980138 .43 .44 •9053411 .9496350- .9758086 .9895929 .9960255, .9986665- .44 .45 .9249447 .96l4l48 .9821101 .9925767 .9972673 •9991167 .45 • 46 .9412599 .9708308 .9869479 .9947769 .9981468 .9994229 .46 .47 .9546360 ♦9782463 .9906077 .9963757 .9987607 .9996282 .47 .48 .9654383 .9839996 .9933355- .9975205, .9991829 .9997639 .48 .49 .9740307 .9883963 .9953383 .9983281 •9994692 .9998522 .49 .50 .9807613 •9917C55- .9967867 .9988893 .9996602 .9999089 .50 526 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ’ 8 p n=40 r = 8 n=40 r= 7 n=40 r= 6 n=40 r- 5 n=40 r* 4 n=40 r= 3 p .01 .0000000 .0000001 .0000029 .0000492 .OOO6856 .0074974 .01 .02 .0000011 .00001^4 .0001370 .0011752 .0082409 .0456702 .02 .03 .0000214 .0001706 .0011640 .0066701 .0313968 .1178289 .03 .04 .0001597 .0009538 .0048778 .0210223 .0748373 .2144653 .04 .05 .0007115 .0033919 .0.138769 .0480285 .1381498 .3232642 .05 .06 .0022847* .0090581 .0309056 .0895819 .2172570 .4334996 .06 .07 .0058496 .0198504 .0581467 .1453684 .3163132 .5374772 .07 .08 .0126872 .0376422 .0967268 .2132078 .3992538 .6305543 .08 .09 .02^2398 .0639217 .1465275, .2897108 .4907862. .7105803 .09 .10 .0419019 .0995164 .2062727 .3709823 .5768693 .7771919 .10 .11 .0668026 .1444538 •.2738032 .4532124 .6548215 .8311671 .11 .12 .0996262 .1979652 .3464378 .5330890 .7251968 .8739129 .12 .13 .1405021 .2586069 .4213351 .6080254 .7815516 .9070966 .13 .14 .1889776 .3244572 .4957991 .6762326 .8501758 .9324051 .14 .15 .2440667 .3933435- .5674997 .7366801 .8698512 .9514013 .15 .16 .3043598 .4630628 .6346021 .7889875- .9015601 .9654527 .16 .17 .3681685, .5315671 .6958138 .8532842 .9265054 •9757066 .17 .18 .4336834 .5970990 .7503678 .8700635, •9457969 .9830950, .18 .19 .4991221 .6582732 .7979616 .9000496 .9604965- .9883553 .19 .20 .5628541 .7141086 .8386712 .9240855, .9715379 .9920579 .20 .21 .6234917 .7640181 .8728572 .9430473 .9797207 •9946355, .21 .22 .6799^57 .8077689 .9010730 .9577824 .9857076 .9964110 .22 .23 .7314467 .8454238 .9239835, .9690699 .9900340 .9976215, .23 .24 .7775379 .8772749 .9422994 .9775985- .9931235, .9984384 .24 .25 .8180458 .9037754 .9567260 .9839578 .9953043 .9989843 .25 • 26 .8530372 .9254789 .9679270 .9886392 .9968263 .9993455- .26 .27 .8827676 .9429860 .9765063 .9920427 .9978769 .9995821 .27 .28 .9076299 .9569027 .9829883 .994^873 .9985941 .9997357 .28 .29 .9281046 .9678092 .9878225, .9962222 .9990784 .9998344 .29 .30 .9447171 .9762391 .9913819 .9974391 .9994021 .9998972 .30 • 3l .9580022 .9826671 •9939700 .9982828. .9996160 .9999368 .31 • 3£ .9684770 .9875041 .9958285, .9988609 .9997559' .9999615, .32 . 33 .9766224 .9910966 .9971469 .9992527 .9998465- .9999768 .33 .34 .9828704 .9937305- .9980707 .9995151 .9999045- .9999862 .34 • 35 .0875990 .9956370 .9987103 .9996888 .9999412 .9999918 .35 • 36 .9911303 .9969996 .9991478 .9998025, .9999642 .9999952 .36 .37 .9937327 •9979611 .9994434 .9998761 ; 9999784 .9999972 .37 .38 .9956254 .9986311 .9996407 .9999231 .9999871 .9999984 .38 • 3'9 .9969841 .9990921 .9997709 ,9999529 .9999924 .9999991 .39 .40 .9979466 .9994052 .9998556 .9999715- .9999956 •9999995- .40 .41 .9986194 .9996151 .9999101 .9999829 .9999975- •9999997 .41 .42; .9990836 .9997541 .9999448 .9999899 .9999986 .9999993 .42 .45 .9993996 .9998450- .9999665- •9999941 .9999992 .9999999 .43 .44 .9996118 .9999035- .9999799 .9999966 .9999996 1.0000000 .44 .45 .9997524 .9999407 .9999881 .9999981 .9999998 1.0000000 .45 .46 .9998442 .9999641 .9999931 .9999989 .9999999 1.0000000 .46 .47 .9999033 .0999786 .9999960 •9999994 .9999999 1.0000000 .4? .48 .9999409 ,9909874 .9999977 .9999997 1.0000000 1.0000000 .48 .49 .9999644 •9999927 .9999987 .9999998 1.0000000 1.0000000 .49 • 50 .9999789 .9999958 .9999993 .9999999 1.0000000 1.0000000 .50 832939 0 - 50 - 22 327 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V " 8 p n»40 r= 2 1 — 1 II 0 II a n-4l r=37 n=4l r=36 n-4l r=35 n=4l r=34 p .01 .0607566 .3310282 .0000000 .0000000 .0000000 .0000000 .01 .02 .1904625, .5542996 .0000000 .0000000 .0000000 .0000000 .02 .03 .3584581 .7042877 .0000000 .0000000 .0000000 .0000000 .03 .04 .4790236 .8046338 .0000000 .0000000 .0000000 .0000000 .04 .05 .6009359 .8714878 .0000000 .0000000 .0000000 .0000000 .05 .06 .7009576 .9158384 .0000000 .0000000 .0000000 .0000000 .06 .07 .7799386 .9^51321 .0000000 .0000000 .0000000 .0000000 • 07 .08 .8405507 .9643948 .0000000 .0000000 .0000000 .0000000 .08 .09 .8860299 .9770038 .0000000 .0000000 .0000000 .0000000 .09 .10 .5195263 .9852191 .0000000 .0000000 .0000000 .0000000 .10 .11 .9438091 .9905463 .0000000 .0000000 .0000000 .0000000 .11 .12 .9611695, .9930840 .0000000 .0000000 .0000000 .0000000 .12 .13 .9734271 .9961914 .0000000 .0000000 .0000000 .0000000 .13 .14 .9819834 .9976015, .0000000 .0000000 .0000000 .0000000 .14 .15 .9878932 .9984977 .0000000 .0000000 .0000000 .0000000 .15 .16 .9919345, .9990642 .0000000 .0000000 .0000000 .0000000 • 16 .17 .9946719 .9994204 .0000000 .0000000 .0000000 .0000000 .17 .18 .9965093 .9996431 .0000000 .0000000 .0000000 .0000000 .18 .19 .9977316 .9997815, .0000000 .0000000 .0000000 .0000000 .19 .20 .9985378 .9998671 .0000000 .0000000 .0000000 .0000000 .20 .21 .9990651 .9999196 .0000000 .0000000 .0000000 .0000000 .21 .22 •9994070 .9999517 .0000000 .0000000 .0000000 .0000000 .22 .23 .9996269 •9999712 .0000000 .0000000 .0000000 .0000000 .23 .24 .9997671 .9999829 .0000000 .0000000 .0000000 .0000000 .24 .25 .9998559 .9999899 .0000000 .0000000 .0000000 .0000000 .25 .26 .9999115, .9999941 .0000000 .0000000 .0000000 .0000000 .26 .27 .9999461 .9999966 .0000000 .0000000 .0000000 .0000000 .27 .28 .9999675- .9999980 .0000000 .0000000 .0000000 .0000000 .28 .29 .9999805, .9999989 .0000000 .0000000 .0000000 .0000000 .29 .30 .9999884 .9999994 .0000000 .0000000 .0000000 .0000000 .30 .31 •9999932 .9999996 . 0000000 .0000000 .0000000 .0000000 .31 .32 .9999960 .9999998 .0000060 .0000000 .0000000 .0000000 .32 .33 .9999977 •9999999 .0060000 .0000000 .0000000 .0000000 .33 .34 .9999987 •9999999 .0000000 .0000000 .0000000 .0000000 .34 .35 .9999993 1.0000000 .0000000 .0000000 .0000000 .0000000 .35 • 36 .9999996 1.0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .9999998 1 .,0000000 .0000000 .0000000 .0000000 .0000000 .37 .38 .9999999 1.0000000 .0000000 .0000000 .0000000 .0000000 .38 .39 •999°999 1.0000000 .0000000 .0000000 .0000000 .0000000 .39 .4o 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000000 .40 .41 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000000 .41 .42 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000001 .42 .43 1.0000000 1.0000000 .0000000 .0000000 .0000000 .0000002 .43 .44 1.0000000 1.0000000 .0000000 .0000000 .0000001 .0000003 .44 .45 1.0000000 1.0000000 .0000000 .0000000 .0000001 .0000007 .45 .46 1.0000000 1.0000000 .0000000 .0000000 .0000002 .0000012 .46 .47 1.0000000 1.0000000 .0000000 .0000001 .0000004 .0000023 .47 .48 1.0000000 1.0000000 .0000000 .0000001 .0000007 .0000041 .48 .49 1.0000000 1.0000000 .0000000 .0000002 .0000013 .0000073 .49 .50 1.0000000 1.0000000 .0000003 .0000004 .0000024 .0000127 .50 328 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n= 4 l r =33 n= 4 l r=32 n= 4 l r= 3 l n- 4 l r-30 n =41 r =29 n= 4 l r=28 p .01 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0060000 .0000000 .0000000 .02 .03 .0000000 .0000000 .OOOOQOO .0000000 .0000000 .0000000 .03 .04 .0000000 .00000.00 .0000000 .OQOOOOO .0000000 .0000000 .04 .05 .0000000 .0000000 ..0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 ..OOOOQOO .0000006 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .00000.60 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .00000.00 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .00000.00 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 . 00000.00 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000600 .0000000 .26 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0600000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .O 0 OOOOO .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000060 .0000001 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005- .30 .31 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .31 .32 .0000000 .0000000 .0000000 .0000001 .0000004 .0000021 .32 .33 .0000000 .0000000 .0000000 . 000000-2 .0000009 .0000041 .33 .34 .0000000 .0000000 .0000000 .0000004 .0000017 .0000078 .34 .35 .0000000 .0000000 .0000001 .0000007 .0000034 .0000146 .35 .36 .0000000 .0000000 .0000003 .0000014 .00000.65- .0000266 .36 .37 .0000000 .0000001 .0000006 .0000027 .0000120 .0000473 .37 .38 .0000000 .0000002 .0000011 .0000052 .0000218 .0000822 .38 .39 .0000001 .0000004 .0000021 .0000095, .0000385, .0001397 .39 .4o .0000001 .0060008 .0000039 .0000171 .0000667 .0002325, .4o .41 .0000003 .0000015, .00000.72 .0000302 .0001131 .0003792 .41 .42 . 0000005 , .0000028 .0000129 .0000523 .0001881 .0006064 .42 .43 .0000010 .0000052 .0000228 .0000886 .0003067 .0009516 .43 .44 .0000019 .0000093 .0000394 .0001474 .0004909 .0014662 .44 .45 . 0000035 , .0000164 .0000669 .0002407 .0007716 .0022193 .45 .46 .0000064 .0000285- .0001115- .0003860 .0011919 .0033022 .46 .47 .0000113 .0000484 .00018.25, .0006087 .0018101 .0048324 .47 .48 . 0000195 , .0000810 .0002938 .0009438 .0027041 .0069582 .48 .49 .0000334 .0001331 .0004654 .0014398 .0039754 .0098626 .49 .50 .0000561 .0002154 .0007252 .0021620 .0057539 .0137666 .50 329 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n “ 8 p n= 4 l r -27 n= 4 l r =26 n= 4 l r=25 n= 4 l r =24 n= 4 l r =23 n -41 r =22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 . 00000.00 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .'18 .19 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .19 .20 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .20 .21 .0000000 .0000000 .0000000 .0000002 .0000009 .0000043 .21 .22 .0000000 .0000000 .0000001 .0000005- .0000022 .0000096 .22 .23 .0000000 .0000000 .0000002 .0000011 .0000049 .0000204 .23 .24 .0000000 .0000001 .0000005, .0000024 .0000104 .0000413 .24 .25 .0000000 .0000002 .0000011 .0000052 . 0000214 .0000802 .25 .26 .0000001 .0000005, .0000025, .0000108 .0000421 .0001501 .26 .27 .0000002 .0000012 .0000052 .0000215- .0000799 .0002712 .27 .28 .0000005, .0000025- .0000106 .0000413 . 0001465 , .0004741 .28 .29 .0000011 .0000050, .0000206 .0000768 .0002602 .0008038 • 29 .30 .0000025 .0000100 .0000390 .0001386 .0004484 .0013236 .30 .31 .0000046 .0000191 .0000714 .0002427 .0007511 .0021209 .31 .32 .0000090 .0000555, .0001272 . 0004135 , .0012249 .0033119 .32 .33 .0000170 .0000645 .0002203 .0006862 .0019473 .0050468 .33 .34 .0000515 .0001153 .0003720 .0011106 .0030222 .0075142 .34 .35 .0000560 .0001946 .0006129 .0017553 .0045841 .0109435, .35 .36 .0000980 .0003265- .0009866 .0027123 .0068029 .0156062 .36 .37 .0001675 .0005351 .0015529 .0041014 .0098872 .0218127 .37 .38 .0002792 .0008581 .0023928 .0060751 .0140857 .0299073 .38 .39 .0004562 .0013473 .0036123 .0088220 .0196866 .0402577 .39 .40 .0007500 .0020732 .0053472 .0125694 .0270136 .0532414 .40 .41 .0011450, .0031287 .0077674 .0175838 •0364184 .0692280 .41 .42 .0017619 .0046341 .0110794 .0241686 .0482694 .0885582 .42 .43 .0026614 .0067409 .0155286 .0326591 .0629363 .1115206 .43 .44 .0059487 .0096359 .0213981 .0434130 .0807715- .1383286 .44 .45 .0057581 .0135434 .0290059 .0567980 .1020887 .1690979 .45 • 46 .0082568 *.0187262 .0386977 .0731752 .1271401 .2038271 .46 .47 .0116486 .0254840 .0508367 .0928797 .1560932 .2423835- .47 .48 .0161754 .0341489 .0657897 .1161979 .1890098 . 284 ^ 955 , .48 .49 .0221177 .0450771 .0839090 .1433455, .2258289 .3297527 .49 .50 .0297919 .0586376 .1055118 .17444^4 .2663546 .3776143 .50 r t. 330 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V‘ s p n=4l r=21 n =4l r =20 n=4l r=19 n=4l r=l8 n=4l r =17 n-4l r=l6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .coooooo .0000000 .0000000 .0000002 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000006 .0000031 .11 .12 .0000000 .0000000 .0000001 .0000003 .0000019 .0000097 .12 .13 .0000000 .0000000 .0000002 .0000011 .0000058 .0000269 .13 .14 .0000000 .0000001 .0000006 .0000033 .0000157 .0000674 .14 .15 .0000001 .0000004 .0000019 .0000090 .0000392 .0001556 .15 .16 .0000002 .0000010 .0000050, .0000223 .0000905- .0003337 .16 .17 .0000005, .0000027 .0000124 .0000516 .0001948 .0006705- • 17 .18 .0000014 .0000068 .0000288 .0001116 .0003946 .0012714 • JL .18 .19 .0000036 .0000157 .0000626 .0002280 .0007565, .0022888 • 19 .20 ,0000084 .0000344 .0001290 .0004418 .0013801 .0039321 .20 .21 .0000184 .0000715- .0002528 .0008164 .0024065, •0064742 .21 .22 .0000386 .0001415, .0004732 .0014445, .0040275- .0102547 . 22 .23 .0000774 .0002683 .0008493 .0024562 •0064908 .0156758 .23 .24 .0001486 .0004884 .0014667 .0040260 .0101041 .0231924 .24 .25 .0002742 .0008564 .0024441 .0063789 .0152322 .0332930 .25 .26 .0004882 .0014504 .0039402 .0097941 .0222899 .0464740 .26 .27 .0008401 .0023783 .0061591 .0146035- .0317268 .0632083 .27 .28 .0014008 .0037837 .0093541 .0211868 .0440071 .0839100 .28 .29 .0022676 .0058514 .0138279 .0299603 .0595828 .1088991 .29 .30 .0035699 .0088113 .0199293 .0413597 .0788630 .1383682 .30 .31 .0054747 .0129396 .02804^6 .0558183 .1021824 .1723567 .31 .32 .0081904 .0185573 .0385842 .0737401 .1297698 .2107327 .32 *33 .0119691 .0260235- .0519639 .0954715, .1617217 .2531871 .33 .34 .0171059 .0357251 .0685826 .1212721 .1979819 .2992388 .34 .35 .0239349 .0480619 .0887956 .1512878 .2383304 .3482528 .35 .36 .0328214 .0634262 .1128885, .1855289 .2823827 .3994681 .36 .37 .04^1488 .0821806 .1410504 .2238555- .3295998 .4520347 .37 .38 .0583028 .1046323 .1733507 .2659712 .3793094 .5050552 .38 .39 .0756504 .1310082 .2097221 .3114272 .4307351 .5576297 .39 .40 .0965172 .1614309 .2499496 .3596359 .4830329 .6088978 .40 .41 .1211632 .1958992 .2936691 .4098940 .5353319 .6580774 .41 .42 .1497587 .2342738 .3403749 .4614137 .5867753 .70^4958 .42 .43 .1823633 .2762710 .3894368 .5133585, .6365597 .7476127 .43 .44 .2189086 .3214649 .4401251 .5648825, .6839691 .7870331 .44 .45 .2591880 .3692981 .4916426 .6151692 .7284020 .8225110 .45 .46 .3028532 .4191014 .5431607 .6634677 .7693901 .8539439 .46 .47 .3494202 .4701212 .5938572 .7091229 . 8066082 .8813608 .47 .48 .3982827 .5215521 .6429538 .7515995, .8398742 .9049032 .48 .49 .4487348 .5725733 .6897489 .7904970 .8691422 .9248038 .49 .50 .5000000 .6223857 •7336454 .8255556 .894^882 .9413624 .50 . ■■■:-» 331 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 n-s q p n=4l r-15 n=4l r=l4 n=4l r=13 n=4l r=12 n»4l r-11 n=4l r=10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000004 .0000037 .o4 .05 .0000000 .ooodooo .0000001 .0000005- .0000038 .0000261 .05 .06 .0000000 .0000001 .0000005- .0000033 .0000212 .0001208 .06 .07 .0000001 .0000004 .0000026 .0000160 .0000868 .0004207 .07 .08 .0000005 .0000019 .0000113 .0000597 .0002821 .0011899 .08 .09 .0000013 .0000077 .0000396 .0001844 .0007699 .0028705- .09 .10 .0000050- .0000255- .0001177 .0004897 .0018291 .0061063 .10 .11 .0000159 .0000735- .0003063 .0011508 .0038837 .0117300 .11 .12 .0000-449 .0001883 .0007142 .0024429 .0075138 .0207091 .12 .13 .0001137 .0004568 .0015178 .0047606 .0134416 .0340562 .13 .14 .0002630 .0009302 .0029796 .0086231 .0224898 .0527155, .14 .15 .0005617 .0018400 .0054618 .0146620 .0355157 -0774475, .15 .16 .0011192 .0034119 .0094290 .0235899 .0533279 .1087269 .16 .17 .0020996 .0059761 .0154391 .0361503 .0765980 .1466716 • 17 .18 .0037292 .0099498 .0241187 .0530538 .1057800 .1910112 .‘18 .19 .0063088 .0158299 .0361247 .0749095, .1410478 .2410975, .19 .20 .•0102142 .0241742 .0520943 .1021580 .1822599 -2959529 .20 .21 .0158911 .0355717 .0725901 .1350168 .2289541 .3543481 .21 .22 .0238412 .0506027 .0980434 .1734430 .2803733 .4148985- .22 .23 .0345987 .0697933 .1287062 .2171196 -3355167 .4761652 .23 .24 .0486978 .0935685- .1646136 .2654651 .3932103 .5367519 .24 .25 . 0666359 .1222074 .2055646 .3176657 .4521870 .5953871 .25 .26 .0888320 .1558082 .1942647 .2511207 .3727261 .5111693 .6509866 .26 .27 .1155878 .3006244 .4295328 .5689448 .7026938 .27 .28 .1470531 .2372575- •3552345, . 4079749 .4869224 .6244299 .7498975, .28 .29 .1832005, .2842619 .5437504 .6767167 .7922302 .29 .30 .2238115, .3345714 .4637912 .5989522 .7251025- .8295495- .30 .31 .2684763 .3873339 .5196109 .6515936 .7691008 -8619083 .31 .32 .3166073 .4415981 .5744008 .7009069 .8084371 -8895183 .32 .33 .3674655- .4963654 .6272183 .7463123 .8430310 .9127101 .33 .34 .4201973 .5506427 .6772516 .7874243 .8729702 .9318947 ,34 .35 .4738784 .6034922 .7238478 .8240453 .8984778 .9475277 .35 • 36 .5275616 .6540738 .7665290 .8561484 .9198778 .9600799 .36 .37 .38 .5803240 .6315101 .7016787 .7457517 .8049942 .8391119 .8838530 .9073953 .9375621 .9519592 .9700124 .9777594 .37 .38 .39 .6797689 .7859013 .8689022 .9270983 .9635081 .9837158 .39 .4o .7250808 .8219000 .8945144 .9433413 .9726375- .9882306 .40 .41 .7667751 .8536744 .9161994 .9565331 .9797496 .9916044 .41 .42 .8045367 .8812876 .9342823 .9670886 .9852101 .9940899 .42 .43 .8382034 .9049174 .9491349 .9754100 .9893420 .9958951 .43 .44 .8677546 .9248304 .9611514 .9818737 .9924232 .9971875, .44 .45 .8932938 .9413562 .9707277 .9868201 .9946875, .9980995, .45 .46 .9150262 .9548625, .9782447 .9905492 .9963270 .9987338 .46 .47 .9332549 .9657328 .9840562 .9933187 .9974966 .9991684 .4? .48 .9482558 .9743477 .9884808 .9953443 .9983185- .9994618 .48 • 49 .9604551 .9810698 .9917979 .9968033 .9988872 .9996569 .49 • 50 .9702081 .9862334 .9942461 .9978380 -9992748 •9997846 .50 - SJ 332 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p n*4l r= 9 n-4l v - 8 n=4l r= 7 n~=4l r= 6 n=4l r- 5 n»4l r= 4 p .01 .0000000 .0000000 .0000002 .0000033 .0000555 .0007537 .01 .02 .0000001 .0000014 .0000158 .0001577 .0013165, .0089895, . 02 .03 .0000029 .0000258 .0002004 .0013291 .0074119 .0339898 .03 .04 .0000286 .0001914 .0011108 .0055236 .0231749 .0804224 .04 .05 .0001587 .0007455, .0039161 .0155845, .0525343 .1474055- .05 .06 .0006083 .0026911 .0103689 .0344262 .0972424 .2302316 • 06 .07 .0018069 .0068297 .0225311 .0642522 .1566345- .3224947 .07 .08 .0044521 .0146836 .0423690 .1060453 .2280914 .4177578 • v/ f .08 .09 .0095079 .0278112 .0713563 .1594140 .3078076 .5105677 .09 .10 .0181360 .04766*34 .1101920 .2227436 .3915710 .5969016 .10 .11 .0315684 .0753443 .1586822 .2935382 .4753894 .6742193 .11 .12 .0509484 .1114269 .2157819 .3688359 .5559020 .7412827 .12 .13 .0771684 .1558557 .2797616 .4456048 .6305838 .7978725- .13 .14 .1107381 .2079447 •3484451 .5210598 .6977843 .8444862 .14 .15 .1517017 .2664583 .4194669 .5928768 .7566527 .8820668 .15 .16 .1996158 .3297523 .4905091 .6593038 .8069991 .9117829 .16 .17 .2535855 •3959463 •5594891 .7191833 .8491315- .934868b • 17 .18 .3123473 .4630982 .6246874 .7719131 .8836955, .9525106 .18 .19 .3743874 .5293608 .6848140 .8173583 .9115345- .9657896 .19 .20 .4380691 .5951050, .7390211 .8557540 .9335760 .9756419 .20 .21 .5017607 .6550023 .7868743 .8875971 .9507487 .9828528 .21 .22 .5639462 .7080668 .8282958 .9135490 .9639260 .9880623 .22 .23 .6233110 .7576615- .8634926 .9343534 .9738917 .9917792 .23 .24 .6787983 .8014748 .8928808 .9507712 .9813245, .9943991 .24 .25 .7296372 .8394782 .9170131 •9635340 .9867944 .9962243 .25 .26 .7755434 .8718720 .9365156 .9733128 .9907678 .9974813 • 26 .27 .8156995 .8990266 .9520365, .9807012 .9936179 .9983373 .27 .28 .8507198 .9214263 .9642067 .9862080 .9956372 .9989137 .16 .29 .8806080 .9396189 .9736130 .9902584 .9970505, .9992977 .29 .30 .9057087 .9541737 .9807819 .9931991 .9980280 .9995506 .30 .31 .9264618 .9656483 .9861710 .9953069 .9986961 .9997155- .31 .32 .9435612 .9745657 .9901679 .9967989 .9991473 .9998217 .32 • 33 .9569194 .9813989 .9930932 .9978418 .9994486 .9998895- .33 .34 .9676592 .9865629 .9952062 .9985618 .9996474 .9999322 .34 .35 .9759942 .9904123 .9967127 .9990528 .9997771 .9999589 .35 .36 .9824144 .9932432 .9977729 .9993835- .9998607 .9999753 .36 .37 .9872790 .9952972 .9985096 .9996035- .9999139 .9999854 .37 .38 .9909141 .9967676 .9990148 .9997481 .9999475- .9999914 .38 .39 .9955929 .9978062 .9993568 .9998419 .9999683 .9999950, .39 .4o .9955598 .9985300 .9995854 .9999020 .9999811 .9999972 .40 .41 .9969554 .9990277 .9997361 .9999400 .9999889 .9999984 .41 .42 .9979220 .9993653 .9998342 .9999637 .9999935, •9999991 .42 .43 .9986097 .9995911 .9998972 .9999784 .9999963 .9999995, .43 .44 .9990824 .9997402 .9999371 .9999873 .9999979 .9999997 .44 .45 .9994027 .9998371 .9999621 •9999926 .9999988 .9999999 .45 .46 .9996167 .9998994 .9999774 .9999958 .9999994 .9999999 .46 .47 .9997575, .9999387 .9999868 .9999976 .9999996 1.0000000 .47 .48 .9998488 .9999632 .9999924 .9999987 .9999998 1.0000000 .48 .49 .9999072 .9999782 .9999956 .9999993 .9999999 1.0000000 .49 .50 .9999459 .9999873 .9999976 .9999996 .9999999 1.0000000 .50 ^7 .:a 335 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-4l r- 5 n-41 r= 2 n=4l r= 1 n=42 r =37 n=42 r=36 n=42 r=35 p .01 .0080298 .0634395, .3377180 .0000000 .0000000 .0000000 • 01 .02 .0485661 .1977393 .5632136 .0000000 .0000000 .0000000 * 02 .03 .04 .1244477 .2250476 .3494330 .4920480 .7131591 .8124485- .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .05 .06 .3371478 .4495471 .6144635, .7138505- .8779135 .9208881 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 • 0.7 .5544495- .7915022 .9489729 .0000000 .0000000 .0000000 .07 .08 .6473540 .8504583 .9672432 .0000000 .0000000 .0000000 .08 .09 .7263707 .8942176 .9790735- .0000000 .0000000 .0000000 .09 .10 .7914253 .9260956 .9866972 .0000000 .0000000 .0000000 .10 .11 .8435578 .9489502 .9915862 .0000000 .0000000 .0000000 .11 .12 .8843837 .9651073 .9947059 .0000000 .0000000 .0000000 .12 .13 .9157196 .9763864 . 9966865- .0000000 .0000000 .0000000 .13 .14 .9393461 .9841700 .9979373 .0000000 .0000000 .0000000 .14 • 15 .9568751 .9894839 .9987230 .0000000 .0000000 .0000000 .15 .16 .9696898 .9930753 .9992139 .0000000 .0000000 .0000000 .16 .17 .9789307 .9954792 .9995189 .0000000 .0000000 .0000000 .17 .18 .9855096 .9970734 .9997073 .0000000 .0000000 .0000000 .18 .19 .9901368 .9981211 .9998230 .0000000 .0000000 .0000000 .19 .20 .9933539 .9988037 .9998937 .0000000 .0000000 .0000000 .26 .21 .9955657 .9992445, .9999365, .0000000 .0000000 .0000000 .21 .22 .9970702 .9995288 .9999623 .0000000 .0000000 .0000000 .22 .23 .9980827 .9997061 .9999778 .0000000 .0000000 .0000000 .23 .24 .9987573 .9998189 .9999870 .0000000 .0000000 .0000000 .24 .25 .9992022 .9998894 .9999925- .0000000 .0000000 .0000000 • 25 .26 .9994926 .9999330 .9999956 .0000000 .0000000 .0000000 .26 .27 .9996804 .9999597 .9999975, .0000000 .0000000 .0000000 .27 .28 .9998006 .9999760 .9999986 .0000000 .0000000 .0000000 .28 .29 .9998768 .,9999859 .9999992 .0000000 .0000000 .0000000 .29 .30 .9999246 .9999917 .9999996 .0000000 .0000000 .0000000 .30 .31 .9999543 •9999952 .9999998 .0000000 .0000000 .0000000 .31 .32 .9999726 .9999972 .9999999 .0000O00 .0000000 .0000000 .32 .33 .9999837 .9999964 .9999999 .0000000 .0000000 .0000000 .33 .34 .9999904 .9999991 1.0000000 .0000000 .0000000 .0000000 .34 .35 •9999944 .9999995, 1.0000000 .0000000 .0000000 .0000000 .35 .36 .9999968 .9999997 1.0000000 .0000000 .0000000 .0000000 .36 .37 .9999982 •9999999 1.0000000 .0000000 .0000000 .0000000 • 37 .38 .9999990 .9999999 1.0000000 .0000000 .0000000 .0000000 .38 .39 .9999994 1.0000000 1.0000000 .0000000 .0000000 .0000000 .39 .40 .9999997 1.0000000 1.0000000 .0000000 .0000000 .0000000 .40 .41 .9999998 1.0000000 1.0000000 .0000000 .0000000 .0000000 .41 .42 •9999999 1.0000000 1.0000000 .0000000 .0000000 .0000000 .42 .43 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000001 .43 .44 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000002 .44 .45 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .0000004 .45 .46 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .0000007 .46 .47 1.0000000 1.0000000 1.0000000 .0000000 .0000002 .0000013 .47 .48 1.0000000 1.0000000 1.0000000 .0000001 .0000004 .0000023 .48 .49 1.0000000 1.0000000 1.0000000 .0000001 .0000008 .0000042 .49 .50 1.0000000 1.0000000 1.0000000 .0000002 .0000014 .0000075, .50 534 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V " 8 p n =42 r =^4 n =42 r=33 n =42 r=32 n =42 r=31 n =42 r=30 n —42 r=29 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 . 00 Q 0000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 . 26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000002 .0000009 .32 .33 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .33 .34 .0000000 .0000000 .0000000 .0000002 .0000008 .0000038 .34 .35 .0000000 .0000000 .0000001 .0000003 .0000017 .0000073 .35 • 36 .0000000 .0000000 .0000001 .0000007 .0000032 .0000137 .36 .37 .0000000 .0000000 .0000003 .0000014 .0000062 .0000251 .37 .38 .0000000 .0000001 .0000005, .0000026 .0000115- .0000447 .38 .39 .OOOOOOU .0000002 .0000011 .0000050- .0000208 .0000780 .39 .40 .0000001 .0000004 .0000020 .0000092 .0000370 .0001330 .40 .41 .0000001 .0000008 .0000038 .0000166 .0000642 .0002222 .41 .42 .0000003 .0000015, .0000071 .0000295- .0001093 .0003638 .42 .43 . 0000005 , .0000028 .0000128 .0000511 .0001824 .0005840 .43 .44 .0000010 .0000052 .0000226 .0000869 .0002985, .0009200 .44 .45 .0000020 .0000093 .0000391 .0001451 .0004796 .0014231 .45 .46 .0000036 .0000165, .0000666 .0002378 .0007567 .0021626 .46 .47 .OOOOC65- .0000287 .0001114 .0003828 .0011734 .0032306 .47 .48 .0000115, .0000490 .0001831 .0006058 .0017888 .0047461 .48 .49 .0000201 .0000823 .0002959 .0009428 .0026823 .0068602 .49 .50 .0000341 .0001358 .0004703 .0014436 .0039579 .0097602 .50 335 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s«r s q n- s p n=42 r=28 n=42 r=27 n=42 r=26 n=42 r-25 . n=42 r=24 n=42 r=23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .ooboooo .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .20 .21 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .21 .22 .0000000 .0000000 .0000000 .0000002 .0000008 .0000038 .22 .23 .0000000 .0000000 .0000001 .0000004 .0000019 .0000085- .23 .24 .0000000 .0000000 .0000002 .0000010 .0000043 .0000178 .24 .25 .0000000 .0000001 .0000005- .0000022 .0000092 .0000361 .25 .26 .0000000 .0000002 .0000010 .0000046 .0000189 .0000702 .26 .27 .0000001 .0000005-. .0000023 .0000096 .0000372 .0001315, .27 .28 .0000002 .0000011 .0000047 .0000192 .0000707 .0002383 .28 .29 .0000005- .0000022 .0000096 .0000369 .0001300 .0004178 .29 .30 .0000010 .0000046 .0000187 .0000689 .0002315, .0007110 .30 .31 .0000021 .0000091 .0000353 .0001245, .0004003 .0011758 .31 .32 .0000043 .0000175- .0000649 .0002188 .0006731 .0018927 .32 .33 .0000083 .0000326 .0001158 .0003741 .0011024 .0029702 .33 .34 .0000158 .0000592 .0002013 .0006231 .0017605, .0045495- .34 .35 .0000291 .0001045, .0003410 .0010128 .0027454 .0068099 .35 .36 .0000523 .0001802 .0005641 .0016078 .0041849 .0099721 .36 .37 .0000917 .0003034 .0009117 .0024958 .0062422 .0142996 .37 .38 .0001570 .0004992 .0014413 .0037921 .0091191 .0200979 .38 .39 .0002631 .0008037 .0022307 .0056440 .0130592 .0277093 .39 .4o .0004315, .0012673 .0033828 .0082361 .0183471 .0375047 .40 .41 .0006932 .0019584 .0050306 .0117921 .0253060 .0498704 .41 .42 .0010917 .0029682 .0073411 .0165769 .0342909 .0651907 .42 .43 . 0016868 .0044156 .0105196 .0228947 .0456783 .0838275, .43 .44 .0025585- .0064511 •0148113 .0310846 .0598507 . 1060966 .44 .45 .0038118 .0092615- .0205015, .0415123 .0771788 .1322428 .45 • 46 .0055813 .0130728 .0279131 .0545573 .0979991 .1624161 .46 .47 .0080360 .0181512 .0373998 .0705969 .1225900 .1966496 .47 .48 .0113824 .0248027 .0493365- .0899857 .1511476 .2348429 .48 .49 .0158676 .0333678 .0641047 .1130329 .1837624 .2767516 .49 .50 .0217793 .0442148 .0820747 .1399781 .2203995, .3219845- .50 336 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=42 r=22 n=42 r =21 n=42 r=20 n=42 r=19 n=42 r=l8 n=42 r=17 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .6000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000O00 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000001 .0000008 .11 .12 .0000000 .0000000 .0000000 .0000001 .0000005, .0000028 .12 .13 .0000000 .0000000 .0000001 .0000003 .0000017 .0000085, .13 .14 .0000000 .0000000 .0000002 .0000010 .0000051 .0000230 .14 .15 .0000000 .0000001 .0000006 .0000029 .0000135, .0000567 .15 .16 .0000001 .0000003 .0000017 .0000078 .0000332 .0001294 .16 .17 .0000002 .0000009 .0000044 .0000191 .0000759 .0002757 .17 .18 .0000005- .0000024 .0000107 .0000437 .0001626 .0005524 .18 .19 .0000013 .0000059 .0000246 .0000941 .0003284 .0010477 .19 .20 .0000032 .0000136 .0000533 .0001916 .0006294 .0018905- .20 .21 .0000073 .0000296 .0001095, .0003712 .0011503 .0032608 .21 .22 .0000160 .0000613 .0002145, .0006869 .0020128 .0053974 .22 .23 .0000335- .0001213 .0004019 .0012189 .0033842 .0086034 .23 .24 .0000670 .0002301 .0007232 .0020809 .0054847 .0132453 .24 .23 .0001287 .0004198 .0012533 .0034278 .0085923 .0197474 .25 .26 .0002380 .0007384 .0020978 .0054622 .0130430 .0285777 .26 .27 .0004248 .0012554 .0033991 .0084391 .0192268 .0402268 .27 .28 .0007336 .0020680 .0053434 .0126673 .0275765, .0551799 .28 .29 .0012283 .0033069 .0081646 .0185063 .0385508 .0738845, .29 .30 .0019975- .0051423 .0121467 .0263584 .0526107 .0967146 .30 .31 .0031606 .0077889 .0176222 .0366545- .0701911 .1239364 .31 .32 .0048731 .0115078 .0249659 .0498341 .0916696 .1556779 .32 . 33 .0073312 .0166071 .0345838 .0663214 .1173341 .1919053 .33 .34 .0107754 .0234364 .0468966 •0864970 .1473534 .2324093 .34 .35 .0154905, .0323794 .0623187 .1106679 .1817527 .2768033 .35 .36 .0218036 .0438391 .0812326 .1390391 .2203962 .3245334 .36 .37 .0300770 .0582206 .1039624 .1716883 .2629809 .3749007 .37 .38 .0406976 .0759080 .1307453 .2085465, .3090397 .4270928 .38 .39 .0540608 .0972399 .1617066 .2493871 .3579573 .4802240 .39 .40 .0705517 .1224827 .1968384 .2938241 .4089947 .5333788 .40 .41 .0905215- .1518050- .2359849 .3413213 .4613235, .5856575, .41 .42 ,1142624 .1852550, .2788363 .3912112 .5140656 .6362179 .42 .43 .1419829 .2227436 .3249323 .4427231 .5663350, .6843125, .43 .44 .1737838 .2640333 • 373675’. .4950184 .6172806 .7293173 .44 .45 .2096384 .3087375- .4243531 .5472296 .6661240 .7707510 .45 .46 .2493791 .3563274 .4761686 .5985019 .7121920 .8082849 .46 .47 .2926907 .4061497 .5282771 .6480321 .7549410 .8417419 .47 .48 .3391134 .4574520 .5798249 .6951038 .7939714 .8710881 .48 .49 .3880539 .5094156 .6299893 .7391154 .8290331 .8964164 .49 .50 .4388072 .5611928 .6780155. .7796005- .8600219 .9179253 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n -42 r =16 n =42 r -15 n =42 r -14 n =42 r-13 n =42 r =12 n =42 r=ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .04 .05 .0000000 .0000000 .0000000 .0000001 .0000007 .0000049 .05 .06 .0000000 .0000000 .0000001 .0000006 .0000044 .0000272 .06 .07 .OOOOOQO .0000001 .0000005, .0000036 .0000209 .0001101 .07 .08 .0000001 .0000004 .0000027 .0000152 . 0000775 - .0003547 .08 .09 .0000003 .0000019 .0000105, .0000526 .0002371 .0009589 .09 .10 .0000013 .0000070 .0000347 .0001549 .0006237 .0022568 .10 .11 . 0000045 , .0000223 .0000991 .0003992 .0014514 .0047468 .11 .12 .0000139 .0000621 .0002514 .0009216 .0030514 .0090973 .12 .13 .0000382 .0001557 .0005773 .0019393 .0058892 . 0161215 - .13 .14 .0000948 .0003564 .0012171 .0037697 . 010564*1 .0267214 .14 .15 .0002165, .0007534 .0023832 .0068418 .0177900 .0418055 .15 .16 .0004595- .0014864 .0043746 .0116947 .0283480 . 0621917 ' • 16 .17 .0009134 .0027586 .0075848 .0189600 .0430264 . 0885105 - •.17 . 18 .0017138 .0048489 .0125002 .0293270 . 0625445 , .1211216 .18 .19 .0030526 .0081178 .0196859 .0434938 .0874750 .1600573 .19 .20 .0051885, .0130062 .0297582 .0621071 .1181784 . 2049985 - .20 .21 .0084518 .0200240 .0433456 .0856997 .1547436 .2552868 .21 .22 .0132437 .0297287 .0610396 .1146313 .1969676 .3099688 .22 • 23 .0200281 .0426934 .0833433 .1490413 .2443509 .3678659 .23 .24 .0293137 .0594668 .1106193 .1888180 .2961239 .4276603 .24 .25 .0416287 .0805287 .1430467 .2335899 •3512960 .4879870 .25 .26 .0574870 .1062458 .1805895- .2827381 .4087214 .5475218 .26 .27 .0773507 .1368305, .2229818 .3354296 .4671740 .6050571 •27 .28 .1015901 .1723103 .2697311 .3906671 . 5254245 - .6595608 .28 .29 . 1304465 - .2125083 .3201387 .4473498 .5823106 .7102156 .29 .30 .1640012 . 2570395 - •3733373 .5043395, .6367973 .7564366 .30 • 3 l .2021537 .3053221 .4283397 .5605255, .6880208 .7978711 .31 .32 .2446126 .3566043 . 4840950 - .6148828 . 7353165 , .8343830 .32 .33 .2908990 . 4100025 - •5395469 .6665194 . 7782295 - .8660251 .33 .34 .3403647 .4645488 .5936897 .7147103 .8165099 . 8930045 , .34 .35 .3922218 .5192433 .6456166 .7589169 .8500967 .9156453 .35 • 36 .4455818 .5731060 .6945576 .7987920 .8790910 . 93^3506 .36 .37 • .4995017 .6252252 . 7399055 - .8341720 .9037254 .9495687 .37 .38 .5530321 .6747979 .7812285, .8650596 .9243296 .9617633 .38 .39 .6052640 . 7211605 , .8182716 .8915987 .9412981 .9713891 .39 .40 .6553710 .7638085- .8509458 .9140452 .9550598 . 97887^7 .40 . 4 l .7026434 .8024038 .8793096 .9327362 .9660519 .9846100 .41 .42 .7465130 .8367721 .9035454 .9480609 .9746996 .9889396 .42 .43 .7865667 .8668904 .9239309 .9604332 .9814008 .9921598 .43 .44 .8225506 .8928680 .9408116 .9702692 . 9865155 - . 9945195 , .44 .45 .8543632 .9149219 .9545734 .9779693 .9903604 .9962229 .45 .46 .8820418 .9333509 .9656183 .9839048 .9932070 .9974341 .46 .47 .9057416 .9485089 . 97434^8 . 9884095 , .9952823 .9982824 .47 .48 . 9257125 - .9607799 .9811316 •9917753 .9967719 .9988673 .48 .49 .9422729 •9705563 .9863266 .9942506 . 9978245 - .9992644 .49 • 50 .9557852 .9782207 .9902398 .9960421 .9985564 .9995297 .50 538 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=42 r-10 n=42 r= 9 n=42 v - 8 n=42 r- 7 n=42 r- 6 n=42 r= 5 p .01 .0000000 .0000000 .0000000 .0000002 .OOOOO38 .0000625, .01 .02 .0000000 .0000001 .0000016 .0000187 .0001809 .0014700 .02 .03 .0000004 .0000036 .0000311 .0002342 .0015116 .0082092 .03 .04 .0000047 .0000351 .0002282 .0012873 .0062296 .0254648 .04 .03 .0000328 .0001930 .0009991 .0044996 .0174320 .0572779 .05 .06 .0001501 .0007352 .0031518 .0118124 .0381952 .1052217 .06 .07 .0005177 .0021585- .0079288 .0254516 .0707189 .1682447 .07 .08 .0014509 .0052706 .OI68985- .0474631 .1158089 .2432648 .08 .09 .0034679 .0111552 .0317303 .0792815, .1727694 .3260560 .09 .10 .0073092 .0210887 .0539163 .1214472 .2396264 .4121041 .10 .11 .0139122 .0363838 .0845114 .1735164 .3135418 .4972607 .11 .12 .0243379 .0582058 .1239495- .2341484 .3912839 .5781477 .12 .13 .0396608 .0873978 .1719635- .3013212 .4696521 .6523313 .13 .14 .0608387 .1243470 .2276148 .3726111 .5458012 .7183226 .14 .15 .0885857 .1689152 .2894096 .4454784 .6174432 .7754648 .15 .16 .1232691 .2204377 .3554734 .5175163 .6829350, .8237645, .16 .17 .1648469 .2777866 .4237486 .5866372 .7412749 .8637067 .17 .18 .2128517 .3394824 .4921842 .6511880 .7920339 .8960823 .18 .19 .2664226 .4038323 .5588969 .7099974 .8352518 .9218430 .19 .20 .3243761 .4690763 .6222882 .7623677 .8713184 .9419892 .20 .21 .3853048 .5335215- .6811154 .8080261 .9008590 .9574906 .21 .22 .4476890 .595.6528 .7345172 .8470515, .9246320 .9692360 .22 .23 .5100087 .6542116 .7820026 .8797906 .9434472 .9780058 .23 .24 .5708430 .7082407 .8234122 .9067745- .9581040 .9844624 .24 .25 .6289497 .7570975- .8588619 .9286433 .9693491 .9891519 .25 . 26 .6833194 .8004408 .8886794 .9460829 .9778511 .9925133 .26 .27 •7332053 .8381977 .9133393 .9597760 .9841887 .9948922 .28 .7781278 .8705176 .9334048 .9703671 .9888482 •9965546 .28 .29 .8178598 .8977212 .9494772 .9784402 .9922281 •9977022 .29 .30 .8523972 .9202482 .9621562 .9845071 .9946478 .9984848 .30 • 3l .8819199 .9386096 .9720104 .9890032 .9963576 .9990121 .31 • 32 .9067480 .9533467 .9795584 .9922898 .9975504 .9993632 .32 • 33 .9272992 .9649976 .9852580 .9946602 .9983720 .9995941 .33 .34 .9440478 .9740733 .9895016 .9963471 .9989309 .9997443 .34 . 35 .9574910 ,9810406 .9926174 .9975317 .9993063 .9998407 .35 • 36 .9681203 .9863128 .9948739 .9983527 .9995553 .9999020 .36 .37 .9764011 .9902458 .9964858 .9989143 .9997184 .9999404 .37 .38 .9827582 .9931384 .9976215, .9992934 .9998238 .9999642 .38 .39 .9875678 .9952361 .9984109 .9995460 .9998912 .9999787 .39 .4o .9911543 •9967359 .9989521 .9997120 .9999336 .9999875, .40 .41 .9937901 .9977933 .9993181 .9998197 .9999600 .9999928 .41 .42 .9956994 .9985282 .9995622 .9998886 .9999762 .9999959 .42 .43 .9970624 .9990317 .9997227 .9999321 •9999861 .9999977 .43 .44 .9980213 .9993718 .9998268 .9999592 .9999919 .9999987 .44 .45 .9986860 .9995982 .9998934 .9999758 .9999954 .9999993 .45 .46 .9991399 .9997467 .9999353 .9999859 •9999974 .9999996 .46 .47 -9994453 .9998427 .9999613 .9999919 .9999986 .9999998 .47 .48 .9996476 .9999037 .9999772 .9999954 .9999992 .9999999 .48 .49 •9997795, .9999420 .9999868 .9999974 .9999996 .9999999 .49 • 50 .9998642 .9999656 .9999925- .9999986 .9999998 1.0000000 .50 339 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n-s p n=42 r= 4 n=42 r- 3 n=42 r- 2 n=42 r= 1 n=43 r=38 n=43 r=37 p .01 .0008265- .0085839 .0661823 .3443408 .0000000 .0000000 .01 .02 .0097810 .0515495, .2050488 .5719493 .0000000 .0000000 .02 .03 .0567055, .13H973 .3603448 .721/643 .0000000 .0000000 .03 .04 .0862074 .2357276 .5048640 .8199506 .0000000 .0000000 .04 .05 .1568926 .3510136 .6276360 .8840178 .0000000 .0000000 .05 .06 .2455905, .4654053 .7262727 .9256348 .0000000 .0000000 .06 .07 .5587515- .5710431 .8025251 .9525448 .0000000 .0000000 .07 .08 .4561255, .6636023 .8598011 .9698638 .0000000 .0000000 .08 .09 .5299899 .7414769 .9018546 .9809569 .0000000 .0000000 .09 .10 .6165540 .8048923 .9321557 .9880275- .0000000 .0000000 .10 .11 .6928466 .8551509 .9536402 .9925118. .0000000 .0000000 .11 .12 .7584548 .8940705, .9686591 .9953412 .0000000 .0000000 .12 .13 .8131926 .9236063 .9790254 .9971172 .0000000 .0000000 .13 .14 .8577666 .9456214 .9860974 .9982261 .0000000 .0000000 .14 .15 .8952880 .9617664 .9908698 .9989146 .0000000 .0000000 .15 .16 .9210480 .9734315- .9940575- .9993397 .0000000 .0000000 .16 .17 .9423586 .9817440 .9961659 .9996007 .0000000 .0000000 .17 .18 .958450*4 .9875911 ..9975475- .9997600 .0000000 .0000000 .18 .19 .9704156 .9916538 ,9984445- .9998567 .0000000 .0000000 .19 .20 .9791845 .9944438 .9990217 .9999149 .0000000 .0000000 .20 .21 .9855225, .9963383 .9993899 .9999498 .0000000 .0000000 .21 .22 .9900440 .9976106 .9996226 .9999706 .0000000 .0000000 .22 .23 .9932290 .9984561 .9997686 .9999829 .0000000 .0000000 .23 .24 .9954451 .9990121 .9998593 .9999901 .0000000 .0000000 .24 .25 .9969688 •9993740 .9999151 .9999943 .0000000 .0000000 .25 .26 .9980043 .9996071 .9999493 .9999968 .0000000 .0000000 .26 .27 .9986999 .9997558 •9999699 .9999982 .0000000 .0000000 .27 .28 .9991620 .9998497 .9999823 .9999990 .0000000 .0000000 .28 .29 .9994656 •9999084 .9999897 .9999994 .0000000 .0000000 •29 .30 .9996628 .9999447 .9999941 .9999997 .0000000 .0000000 .30 .31 .9997895, .9999670 .9999966 .9999998 .0000000 .0000000 .31 .32 .9998700 .9999805- .9999981 .9999999 .0000000 .0000000 .32 *33 •9999206 .9999886 .9999989 1.0000000 .0000000 .0000000 .33 .34 .9999520, .9999934 *9999994 1.0000000 .0000000 .0000000 .34 .35 .9999713 .9999962 .9999997 1.0000000 .0000000 .0000000 .35 .36 .9999831 .9999979 .9999998 1.0000000 .0000000 .0000000 .36 .37 .9999901 .9999988 •9999999 1.0000000 . .0000000 .0000000 .37 .38 .9999943 -9999993 .9999999 1.0000000 .0000000 .0000000 .38 .39 .9999967 .9999996 1.0000.000 1.0000000 .0000000 .0000000 .39 .40 .9999982 .9999998 1.0000000 1.0000000 .0000000 .0000000 .40 .41 .9999990 .9999999 1.0000000 1.0000000 .0000000 .0000000 .41 .42 •9999994 .9999999 1.0000000 1.0000000 .0000000 .0000000 .42 .43 .9999997 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .43 .44 .9999998 1.0000000 1.OQOOOOO 1.0000000 .0000000 .0000000 .44 .45 .9999999 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .45 .46 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .46 .47 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000001 '.47 .48 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000002 .48 .49 1.0000000 1.0000000 1.0000000 1.0000000 .0000001 .0000004 .49 .50 1.0000000 1.0000000 a.0000000 1.0000000 .0000001 .0000008 .50 540 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-8 p n-43 r=36 n=43 r=35 n=43 r=34 n=43 r=33 n=43 r=32 n=43 r=31 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 « 05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0006000 .0000000 .0000000 • .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 ( .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000■ .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .35 .36 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .36 .37 .0000000 .0000000 .0000000 .0000001 .0000007 .0000031 .37 .38 .0000000 .0000000 .0000000 .0000003 .0000013 .0000060 .38 .39 .0000000 .0000000 .0000001 .0000005, .0000026 .0000112 .39 .40 .0000000 .0000000 .0000002 .0000011 .0000049 .0000203 .40 .41 .0000000 .0000001 .0000004 .0000020 .0000091 .0000361 .41 .42 .0000000 .0000001 .0000008 .0000038 .0000165- .0000630 .42 .43 .0000000 .0000003 .0000015, .0000071 .0000292 .0001075, .43 .44 .0000001 .0000006 .0000029 .0000128 .0000509 .0001800 .44 .45 .0000002 .0000011 .0000053 .0000228 .0000868 .0002956 .45 .46 .0000004 .0000020 .0000095, .0000396 .0001454 .0004765- .46 .47 .0000007 .0000037 .0000169 .0000676 .0002390 .0007544 .47 .48 .0000013 .0000067 .0000295, .0001134 .0003860 .0011736 .48 .49 .0000025- .0000120 .0000505, .0001870 .0006129 .0017952 .49 .50 .0000045- .0000210 .0000851 .0003031 .0009570 .0027008 .50 341 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=43 r=30 n=43 r=29 n=43 r=28 11=43- r=27 n=43 r =26 n=43 r=25 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .OOOOO0O .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .000000Q .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .‘18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 •19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .23 .24 .0000000 .0000000 .0000000 .0000001 .0000004 .0000018 .24 .25 .0000000 ,0000000 .0000000 .0000002 .0000009 .0000039 .25 .26 .0000000 .0000000 .0000001 .0000004 .0000020 .0000084 • 26 .27 .0000000 .0000000 .0000002 .0000010 .0000042 .0000171 .27 .28 .0000000 .0000001 .0000005- .0000021 .0000088 .0000336 .28 .29 .0000000 .0000002 .0000010 .0000044 .0000175- .0000639 .29 .30 .0000001 .0000005- .0000021 .0000088 .0000337 .0001177 .30 .31 .0000002 .0000010 .0000043 .0000172 .0000630 .0002100 .31 .32 .0000004 .0000020 .0000085, .0000326 .0001141 .0003642 .32 .33 .0000009 .0000040 .0000163 .0000601 .0002010 .0006144 .33 .34 .0000018 .0000079 .0000305, .0001075- .0003447 .0010098 .34 .35 .0000036 .0000149 .0000555- .0001873- .0005761 .0016192 .35 .36 .0000070 .0000276 .0000983 .0003184 .0009398 .0025356 .36 .37 .0000132 .0000497 .0001700 .0005285- .0014978 .0038820 .37 .38 .0000241 .0000874 .0002871 .0008572 .0023346 .0058163 .38 .39 .0000431 .0001502 •0004740 .0013602 .0035619 .0085359 .39 .40 .0000754 .0002524 .0007658 .0021135- .0053241 .0122805- .40 .41 .0001290 .0004153 .0012119 .0032180 .0078028 .0173328 .41 .42 .0002162 .0006695, .0018799 .0048048 .0112201 .0240168 .42 .43 .0003551 .0010582 .0028602 .0070403 .0158409 .0326916 .43 .44 .0005720 .0016409 .0042712 .0101296 .0219716 .0437417 .44 .45 .0009042 .0024980 .0062641 .0143195- .0299564 .0575622 .45 .46 .0014035- . 0037352, .0090274 .0198993 •0401694 .0745405, .46 .47 .0021403 .005489T .0127902 .0271981 .0530024 .0950337 .47 .48 .0032083 .0079315, .0178241 .0365789 .0688481 .1193434 .48 .49 .0047294 .0112738 .024*1427 .0484289 .0880795, .1476904 .49 .50 .0068591 •0157697 .0329970 .0631447 .1110264 .1801888 .50 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n~43 r =24 n=43 r=23 n-43 r=22 n=43 r=21 n=43 r=20 n=43 r=19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .OOO0OOO .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .12 .13 .0000000 .0000000 .0000000 .0000000 .OOOO0O1 .0000005, .13 .14 .0000000 .0000000 .0000000 .0000001 .0000003 .0000016 .14 .15 .0000000 .0000000 .0000000 .0000002 .0000009 .0000045, .15 .16 .0000000 .0000000 .0000001 .0000005, .0000026 .0000119 .16 .17 .0000000 .0000001 .0000003 .0000015, .0000069 .0000287 .17 .18 .0000000 .0000002 .000.0008 .0000039 .0000167 .0000651 .18 .19 .0000001 .0000005- .0000022 .0000094 .0000378 .0001386 .19 .20 .0000002 .0000012 .0000052 .0000215, .0000810 .0002792 .20 .21 .0000006 .0000028 .0000120 .0000464 .0001645- .0005348 .21 .22 .0000015- .0000065, .0000260 .0000950- .0003184 .0009786 .22 .23 .0000034 .0000142 .0000537 .0001859 .0005898 .0017,169 .23 .24 .0000076 .0000296 .0001062 .0003485- .0010491 .0028978 .24 .25 .0000160 .0000592 .0002015- .0006282 .0017970 .0047189 .25 • 26 .0000322 .0001138 .0003681 .0010918 .0029725, .0074332 . 26 .27 .0000627 .0002107 .0006491 .0018342 .0047599 .0113518 .27 . 28 .0001176 .0003770 .0011072 .0029851 .0073941 .0168418 .28 .29 .0002135- .0006529 •.0018311 .0047156 .0111637 .0243192 .29 .30 .0003754 .0010969 .0029409 .0072436 .0164102 .0342341 .30 .31 .0006407 .0017911 .0045954 .0108372 .0235222 .0470508 .31 .32 .0010634 .0028464 .0069962 .0158144 .0329237 .0632214 .32 . 33 .0017187 .0044093 .0103922 .0225394 .0450572 .0831556 .33 .34 .0027088 .0066663 .0150801 .0314129 .0603608 .1071882 .34 .35 .0041680 .0098481 .0214016 .0428581 .0792409 .1355476 .35 • 36 .0062683 .0142314 .0297364 .0573008 .1020429 .1683276 .36 .37 .0092234 .0201373 .0404901 .0751450, .1290210 .2054665, .37 .38 .0132911 .0279258 .0540775, .0967462 .1603098 .2467359 .38 .39 .0187727 .0379864 .0709007 .1223819 .1959020 .2917295- .39 .4o .0260101 .0507235, .0913241 .1522250- .2356327 .3398923 .40 .41 .0353774 .0665373 .1156477 .1863187 .2791728 .3905222 .41 .42 .0472688 .0858008 .1440793 .2245592 .3260377 .4428100 .42 .43 .0620824 .1088343 .1767100 .2666847 .3755824 .4958763 .43 .44 .0801989 .1358790 .2134936 .3122758 .4270663 .5488138 .44 .45 .1019576 .1670708 .2542330 .3607645, .4796475, .6007321 .45 .46 .1276309 .2024191 .2985755 .4114544 .5324419 .•6507993 .46 .47 .1573980 .2417889 .-3460164 .4635496 .5845620 .6982793 .47 .48 .1913214 .2848927 .3959159 .5161910 .6351588 .7425602 .48 .49 .2293271 .3312897 .4475212 .5684967 .6834611 .7831751 .49 • 50 .2711920 .3803958 .5000000 .6196042 .7288080 .8198112 .50 832939 0 - 50 - 23 343 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r n-s q p n=43 r-18 n-43 r=17 n=43 r=16 n-43 r=15 n=43 r=l4 n-43 r=l3 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .00,00000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .00,00000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .00.00000 .0000000 .0000000 .0000000 .0000001 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000001 .0000009 .06 .07 .0000000 .0000000 .0000000 .0000001 .0000008 .0000048 • 07 .08 .0000000 .0000000 .0000001 .0000006 .0000037 .0000202 .08 .09 .0000000 .0000001 .0000005- .0000027 .0000143 .0000692 .09 .10 .0000001 .0000003 .0000019 .0000098 .0000467 .0002018 .10 .11 .0000002 .0000012 •.0000065- .0000307 .0001321 .0005149 .11 .12 .0000008 .0000042 .0000197 .0000848 .0003319 .0011772 .12 .13 .0000026 .0000124 .0000534 .0002105, .0007544 .0024528 .13 .14 .0000076 .0600330 .0001314 .0004769 .0015745- .0047210 .14 .15 .0000200 .0600807 .0002971 .0009979 .0030520 .0084840 .15 .16 .0000486 .0001822 .0006238 .0019485- .0055458 .0143592 • 16 .17 .0001099 .0603841 .0012271 .0035791 .0095186 .0230513 -.17 .18 .0002327 .0007615- .0022781 .0062262 .0155290 .0353062 .18 .19 .0004651 .0014286 .0040150, .0103158 .0242094 .0518504 .19 .20 .0008817 .0025501 .0067521 .0163566 .0362280 .0733213 .20 .21 .0015935, .0043509 .0108819 .0249215, .0522399 .1001989 .21 .22 .0027574 .0071236 .0168704 .0366171 .0728298 .1327453 .22 .23 .0045846 .0112311 .0252411 .0520429 .0984538 .1709625- .23 .24 .0073473 .0171017 .0365504 .0717434 .1293870 .2145714 .24 • 25 .0113811 .0252177 .0513537 .0961582 .1,656825- .2630164 .25 .26 .0170820 .0360942 .0701643 .1255751 .2,071481 .3154937 • 26 .27 .0248968 .0502503 .0934103 .1600914 .2533427 .3710006 .27 .28 .0353055- .0681748 .1213918 .1995881 .3035932 .4283992 .28 .29 .0487976 .0902875- .1-542444 .2437211 .3570299 .4864884 .29 .30 .0658419 .1169005, .1919127 .2919288 .4126380 .5440768 .30 .31 .0868522 .1481838 .2341359 .3434576 .4693173 .6000491 .31 .32 .1121522 .1841370 .2804499 .3974013 .5259471 .6534216 .32 . 33 .1419426 .2245732 .3302031 .4527521 .5814478 .7033837 .33 .34 .1762724 .2691141 .3825873 .5084567 .6348367 .7493222 .34 .35 .2150204 .3171997 .4366793 .5634739 .6852717 .7908298 .35 • 36 .2578856 .3681108 .4914905, .6168286 .7320820 .8276996 .36 .37 .3043912 .4210031 .5460194 .6676569 .7747841 .8599067 .37 .38 .3538999 .4749498 .5993031 .7152415, .8130843 .8875822 .38 .39 .4056413 . 5289896 .6504636 .7590339 .8468692 .9109815- .39 .40 .4587483 .5821757 .6987460 .7986634 .8761855, .9304510 .40 .41 .5123005- .6336217 .7435452 .8339352 .9012145, .9463956 .41 .42 .5653696 .6825418 .7844218 .8648169 .9222419 .9592492 .42 .43 .6170654 .7282818 .8211059 .8914178 .9396269 .9694493 .43 .44 .6665767 .7703399 .8534902 .9139632 .9537730 .9774176 .44 .45 .7132061 .8083765, .8816146 .9327651 .9651015, .9835453 .45 .46 .7563947 .8422130 .9056440 .9481939 .9740301 .9881838 .46 .47 .7957374 .8718218 .9258422 .9606518 .9809552 .9916397 .47 .48 .8309874 .8973078 .9425449 .9705487 .9862406 •9941737 .48 .49 .8620509 .9188861 .9561318 .9782838 .9902094 .9960018 .49 • 50 .8889736 .9368553 .9670030 .9842303 .9931409 .9972992 .50 344 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-43 r-12 n=43 r=ll n=43 r*10 n-43 r- 9 n-43 r* 8 n=^3 r= 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .01 .02 .0000000 .0000000 .0000000 .0000002 .0000020 .0000219 .02 .03 .0000000 .0000000 .0000005- .0000044 .0000372 .0002726 .03 .04 .0000001 .0000007 .0000060 .0000429 .0002706 .0014850- .04 .05 .0000009 .0000063 .0000408 .0002333 .0011741 .0051462 .05 .06 .0000058 .0000346 .0001850, .0008784 .0036714 .0133953 .06 .07 .0000272 .0001387 .0006326 .0025624 .0091554 .0286203 .07 .08 .0000996 .0004424 .0017564 .0062009 .0193436 .0529307 .08 .09 .0003020 .0011847 .0041597 .0130070 .0360099 .0876954 .09 .10 .0007870 .0027620 .0086872 .0243715- .0606694 .1332651 .10 .11 .0018139 .0057550, .0163841 .0.416778 .0943020 .1889192 .11 .12 .0037769 .0109261 .0284020 .0660950, .1371733 .2530046 .12 .13 .0072194 .0191816 .0458666 .0983913 .I8878OO .3232042 .13 .14 .0128264 .0314978 .0697299 .1388045, .2479143 .3968577 .14 .15 .0213923 .0488225, .1006351 .1869894 .3128199 .4712731 .15 .16 .0337630 .0719641 .1388161 .2420434 .3814003 .5439833 .16 .17 .0507587 .1014877 .1840466 .3026002 .4514396 .6129256 .17 .18 .0730884 .1376330 .2356452 .3669688 .5208049 .6765403 .18 .19 .1012663 .1802667 .2925305- .4332946 .5876060 .7337957 .19 .20 .1355424 .2288740 .3533162 .4997187 .6503041 .7841579 .20 .21 .1758577 ..2825906 .4164303 .5645162 .7077667 .8275210 .21 .22 .2218279 .3402672 .4802410 .6262030 .7592748 .8641192 .22 .23 .2727594 .4005587 .5431754 .6836035, .8044939 .8944316 .23 .24 .3276926 .4620241 .6038185- .7358818 .8434191 .9190936 .24 .25 .3854688 .5232277 .6609866 .7825386 .8763073 .9388197 .25 .26 .4448095- .5828292 .7137709 .8233828 .9036043 .9543426 .26 .27 .5044024 .6396571 .7615532 .8584859 .9258772 .9663674 .27 .28 .5629827 .6927596 .8039969 .8881260 .9437542 .9755418 .28 .29 .6194031 .7414324 .8410196 .9127304 .9578765- .9824387 .29 .30 .6726891 .7852248 .8727525, .9328206 .968861^ .9875493 .30 .31 .7220744 .8239262 .8994937 .9489639 .9772781 .9912830 .31 .32 .7670178 .8575398 .9216596 .9617344 .9836325- .9939732 .32 .33 .8072020 .8862455, .9397396 .9716835, .9883607 .9958851 .33 .34 .8425181 .9103593 .9542565- .9793189 .9918290 .9972256 .34 .35 .8730387 .9302913 .9657333 .9850925- .9943374 .9981528 .35 .36 .8989845- .9465077 .9746696 .9893948 .9961263 .9987857 .36 .37 .9206874 .9594967 .9815236 .9925546 .9973843 .9992118 .37 .38 .9385544 .9697413 .9867027 .9948420 .9982568 .9994950- .38 .39 .9530336 .9776988 •9905584 .9964743 .9988536 .9996806 .39 .40 .9645857 .9837865, .9933869 .9976224 .9992561 .9998006 .40 .41 .9736607 .9883739 .9954314 .9984185- .9995238 .9998772 .41 .42 .9806804 .9917787 .9968875- .9989625- .9996993 .9999254 .42 .43 .9860272 .9942679 .9979092 .9993289 .9998128 .9999553 .43 .44 .9900373 .9960603 .9986155, .9995720 .9998851 .9999736 .44 .45 .9929986 .9973313 .9990965- •9997310 .9999305- .9999846 .45 .46 .9951515, .9982188 •.•9994190 .9998335- .9999585, .9999912 .46 .47 .9966923 .9988289 .9996321 .9998984 .9999757 .9999950, .47 .48 •9977777 .9992418 .9997705, .9999300 .9999859 .9999972 .48 .49 .9985300 .9995168 .9998591 .9999639 .9999920 .9999985- .49 • 50 .9990430 .9996969 .9999149 .9999790 .9999955, •9999992 .50 545 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n- s p n=43 r= 6 n-43 v - 5 n=43 r= 4 2 II -£=• II v>) n=43 r= 2 n=43 r= 1 p .01 .0000044 .0000701 .0009041 .0091598 .0689639 .3508974 .01 .02 .0002067 .0016362 .0106164 .0546195, .2123868 .5805103 .02 .03 .0017126 .009^641 .0395383 .1380717 .3711873 .7301114 .03 .04 .0069990 .0278945- .0921882 .2464931 .5174675- .8271525, .o 4 .05 .0194243 .0622586 .1665987 .3648447 .6404551 .8898169 .05 .06 .0422168 .1135119 .2567114 .4810574 .738234^ .9300967 .06 .07 .0775457 .1801788 .3549933 .5872469 .8130265- .9568667 .07 .08 .1260054 .2586936 .4543237 .6792982 .8686061 .9722747 .08 .09 .1865652 .3444101 . 5490238 .7559109 .9089738 .9826707 • 09 .10 .2568741 .4325291 .6352078 .8176187 .9377429 .9892247 .16 .11 .3337509 .5187751 .7107000 .8659847 .9579160 .9933355- .11 .12 .4137075, •5997845, .7747287 .9030211 .9718610 .9959003 .12 .13 .4934004 .6732433 .8275464 .9308108 .9813774 .9974920 .13 .14 .5699542 .7378448 .8700663 .9512881 .9877954 .998474^ .14 .15 .6411464 .7931383 .9035598 .9661319 .9920765- .9990774 .15 .16 .7054677 .8393299 .9294294 .9767316 .9949026 .9994454 .16 .17 .7620883 .8770775- .9490541 .9841957 .9967498 • 9996686 .17 .18 .8107626 .9073085, .9636957 .9893832 .9979457 .9998032 .‘18 .19 .8517041 .9310718 .974^509 .9929441 .9987128 .9998839 .19 .20 .8854526 .9494282 .9822362 •9953594 .9992003 .9999319 .20 .21 .9127516 •9633773 .9877938 •9969791 .9995075- .9999604 .21 .22 .9344448 .9778137 .9917087 .9980533 .9996992 .9999771 .22 .23 .9513957 .9815071 .9944312 .9987580 .9998179 .9999868 .23 .24 .9644300 .9870983 .9963012 .9992154 .9998907 .9999925, .24 .25 .9742998 .9911061 .9975701 .9995093 .9999349 .9999958 .25 .26 .9816633 •9939410 .9984210 .9996961 .9999616 .9999976 • 26 .27 .9870786 .9959203 .9989850, .9998136 .9999776 .9999987 .27 .28 .9910060 .9972847 .9993546 .9998869 .9999870 .9999993 .28 .29 .9938156 .9982136 .9995940 .9999320 .9999925, .9999996 .29 .30 .9957989 .9988382 .9997474 .9999595, .9999958 .9999998 .30 .31 .9971805- .9992531 .9998445, .9999762 .9999976 .9999999 .31 .32 .9981305- .9995253 .9999054 .9999861 .9999987 .9999999 .32 .33 .9987753 .9997019 .9999430 .9999920 .9999993 1.0000000 .33 .34 .9992075- .9998149 .9999661 .9999954 .9999996 1.0000000 .34 .35 .9994934 .9998864 .9999800 .9999974 .9999998 l.OOOO'OOO .35 .36 .9996801 .9999312 .9999884 .9999986 .9999999 1.0000000 .36 .37 .9998005, .9999588 .9999933 .9999992 .9999999 1.0000000 .37 .38 .9998772 •9999756 .9999962 .9999996 1.0000000 1.0000000 .38 .39 .9999253 .9999858 .9999979 •9999998 1.0000000 1.0000000 .39 .40 .9999552 .9999918 .9999988 .9999999 1.0000000 3.0000000 .40 .41 .9999735- .9999953 .9999994 •9999999 1.0000000 1.0000000 .41 .42 .9999845- •999997^ .9999997 1.0000000 1.0000000 1.0000000 .42 .43 .9999911 .9999985, .9999998 1.0000000 1.0000000 1.0000000 .43 .44 .9999949 •9999992 .9999999 1.0000000 1.0000000 1.0000000 .44 .45 .9999972 .9999996 .9999999 1.0000000 1.0000000 1.0000000 .45 .46 .9999984 .9999998 1.0000000 1 .000000^ 1.0000000 1.0000000 .46 .47 .9999991 .9999999 1.0000000 1.0000000 1.0000000 1 .. 0000000 .47 .48 .9999995, •9999999 1.0000000 1.0000000 1.0000000 1.0000000 .48 .49 •9999998 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .49 .50 .9999999 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .50 346 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n I s-r V ’ 8 p n-44 r-39 n=44 r=38 n=44 r=37 n=44 r=36 n-44 r-35 n=44 r=34 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 . 0000000’ .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .OOO'^OOO .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 • 15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0060000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .28 .29 .OOOOO0O .0000000 .0000000 .0000000 .0000000 .0000000 -29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 . 0000Q00 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .33 .34 .0000000 .6000000 .0000000 .0000000 .0000000 .0000000 .34 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .37 .38 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .38 .39 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .39 .40 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .40 .41 .0000000 .6000000 .0000000 .0000000 .0000002 .0000011 .41 .42 .0000000 .6000000 .0000000 .0000001 .0000004 .0000021 .42 .43 .0000000 .6000000 .0000000 .0000001 .0000008 .0000039 .43 .44 .0000000 .6000000 .0000000 .0000003 .0000016 .0000072 .44 .45 .0000000 .6000000 .0000001 .0000006 .0000030 .0000131 .45 .46 .0000000 .0000000 .0000002 .0000011 .0000055- .0000234 .46 .47 .0000000 .0000001 .0000004 .0000021 .0000099 .0000407 .47 .48 .0000000 .0000001 .0000008 .0000039 .0000177 .0000698 .48 .49 .0000000 .0000002 .0000014 .0000071 .0000309 .0001174 .49 .50 .0000001 .0000005- .0000026 .0000127 .0000530 .0001941 .50 547 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n I s-r s q ii-s p n=44 r=33 n=44 r-32 n-44 r=31 n=44 r =30 n=44 r-29 n=44 r=28 p .01 .0000000 .0000000 .OO'OOOOO .ooooooo .ooooooo .ooooooo .01 .02 . 000000 ^ .0000000 .OOOOOOO .ooooooo .ooooooo .ooooooo .02 .03 .0000000 .0000000 .OOOOOOO .ooooooo .ooooooo .ooooooo .03 .04 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .04 .05 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .05 .06 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .06 .07 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .07 .08 .0000000 .0000000 .ooooooo . ooooooo .ooooooo .ooooooo .08 .09 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .09 .10 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .10 .11 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .11 .12 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .OOOOOOO .12 .13 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .13 .14 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .OOOOOOO .14 .15 .0000000 .ooooooo- .ooooooo .OOOOOOO .ooooooo .OOOOOOO .15 .16 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo • 16 .17 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .17 .18 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .18 .19 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .OOOOOOO .19 .20 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .OOOOOOO .20 .21 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .21 .22 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .22 .23 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .OOOOOOO .23 .24 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .OOOOOOO .24 .25 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .0000001 .25 .26 .0000000 . 0000^00 .ooooooo .ooooooo .ooooooo .0000002 .26 .27 .0000000 .ooooooo . 00000c0 .ooooooo .0000001 .0000004 .27 .28 .000QO00 .ooooooo .ooooooo .ooooooo .0000002 .0000009 .28 .29 .0000000 .ooooooo .ooooooo .0000001 .0000004 .0000020 .29 .30 .0000000 .ooooooo .ooooooo .0000002 .0000009 .0000041 .30 .31 .0000000 .ooooooo .0000001 .0000004 .0000020 .0000083 .31 .32 .0000000 .ooooooo .0000002 .0000009 .0000041 .0000162 .32 .33 .0000000 .0000001 .0000004 .0000019 .0000081 .0000308 .33 .34 .0000000 .0000002 .0000009 .0000039 .0000156 .0000567 .34 .35 .O'^OOOOl .0000004 .0000018 .0000076 .0000291 .0001016 .35 • 36 .0000002 .0000008 .0000035, .0000144 .0000531 .0001776 .36 .37 .0000003 .0000016 .0000068 .0000267 .0000942 .0003026 .37 .38 .0000007 .0000031 .0000129 .0000481 .0001633 .0005037 .38 .39 .0000013 .0000059 .0000236 .0000849 ,0002765- .0008196 .39 .40 .0000026 .0000111 .0000423 .0001462 .0004578 .0013049 .40 .41 .0000049 .0000202 .000074? .0002464 .0007419 .0020344 .41 .42 .0000091 .0000360 .0001273 .0004066 .0011779 .0031084 .42 .43 .0000166 .0000629 .0002140 .0006574 .0018331 .0046576 .43 .44 .0000296 .0001077 .0003525- .0010423 .0027983 .0068489 .44 .45 .0000516 .0001808 .0005695- .0016214 .0041928 .0098890 .45 .46 .0000882 .0002977 .0009029 .0024761 .0061696 .0140285- .46 .47 .0001482 .0004812 .0014057 .0037142 .0089206 .0195619 .47 .48 .0002443 .0007641 .0021503 .0054754 .0126800 .0268264 .48 .49 .0003957 .0011922 .0032330 .0079362 .0177266 .0361959 .49 • 50 .0006300 .0018289 .0047799 .0113144 .0243834 .0480709 .50 348 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-8 p n=44 r =27 n=44 r=26 n-44 r=25 n=44 r=24 n=44 r=23 n=44 r=22. p .01 .0000000 .0000000 .OOQOOOO .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000006 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 •0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .6000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .6000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000.000 .0000000 .0000000 .0000000 .0000000 .0000001 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .17 .18 .0000000 .0000000 .0000000 .0000001 .0000003 .0000014 .18 .19 .0000000 .0000000 .0000000 .0000002 .0000008 .0000035, .19 .20 .0000000 .0000000 .0000001 .0000004 .0000020 .0000085- .20 .21 .0000000 .0000000 .0000002 . .Q000011 .0000048 .0000192 .21 .22 .0000000 .0000001 .0000006 .0000026 .0000108 .0000412 .22 .23 .0000001 .0000003 .0000014 .0000059 .0000233 .0000841 .23 .2.4 .0000001 .0000007 .0000032 .Q000129 .0000480 .0001643 .24 .23 .0000004 .0000016 .0000069 .0.000268 .0000948 .0003082 .25 .26 .0000008 .0000036 .0000146 .0.000534 .0001799 .0005563 .26 .27 .0000018 .0000077 .0000294 .0.001027 .0003291 .0009691 •27 .28 .0000040 .0000157 .0000571 .0.001903 .0005814 .0016331 .28 .29 .0000082 .0000310 .0001073 .0003409 .0009945, .0.026676 .29 .30 .0000163 .0000589 .0001950- .0005918 .0016501 .0042317 .30 .31 .0000314 .0001086 .0003435, .0009973 .0026604 .0065303 .31 .32 .0000587 .0001941 .0005879 .0016346 .0041743 .0.098180 .32 .33 .0001066 .0003374 .0009788 .0026066 .0063837 .0.144008 .33 .34 .0001881 .0005708 .0015875- .0040543 .0095270 .0.206333 .34 .35 .0003234 .0009412 .0025113 .0061560 .0138918 .0.289114 .35 .36 .000542! .0015143 .0038794 .0091350, .0198132 .0.396596 • 36 .37 .0008871 .0023800 .0058583 .0132615, .0276678 .0.533125- .37 .38 .0014186 .0036576 .0086557 .0188522 .0378634 .0.702916 .38 .39 .0022189 .0055018 .0125283 .0262661 .0508230 .0909784 .39 .4o .0033977 .0081067 .0177723 .0358955, .0669638 .1156845- .40 .41 .0050977 .0117101 .0247311 .0481530 .0866726 .1.446228 .41 .42 .0074993 .0165947 .0337826 .0634523 .1102778 .1.778808 .42 .43 .0108246 .0230867 .0453297 .0821858 .1380209 .2153991 .43 .44 .0153400 .0315504 .0597829 •1046981 .1700294 .2569578 .44 .45 .0213561 .0423796 .0775402 .1312586 .2062938 .3021722 .45 .46 .0292235 .0559801 . 0989621 .1620335- .2466510 .3504997 .46 .47 .0393261 .0727571 .1243449 .1970618 .2907759 .4012570 .47 .48 .0520681 .0930858 .1538928 .2362756 .3381839 .4536480 .48 .49 .0678577 .1172888 .1876924 .2792888 .3882431 .5067992 .49 • 50 .0870856 .1456076 .2256904 .3257939 .4401979 .5598021 • 50 349 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n -s p n=44 r=21 n-44 r=20 n=44- r=19 n=44 r=18 n-44 r=17 n=44 r=l6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 • 03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 • 07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .09 .10 .0000000 .0000000 .0000000 .0000001 .0000005- .0000027 .10 .11 .0000000 .0000000 .0000001 .0000003 .0000018 .0000092 .11 .12 .0000000 .0000000 .0000002 .0000012 .0000060 .0000275, .12 .13 .0000000 .0000001 .0000008 .0000039 .0000177 .0000739 .13 .14 .0000001 .0000005- .0000024 .0000111 .0000468 .0001798 .14 • 15 .00.00003 .0000015- .0000068 .0000291 .0001131 .0004022 .15 .16 .0000009 .0000041 .0000177 .0000700 .0002528 .0008757 .16 • 17 .0000024 .0000106 •0000425, .0001565- .0005274 .0016270 .17 .18 .00.00062 .0000254 .0000955 .0003279 .0010345- .0029888 .18 • 19 .0000148 .0000570 .0002006 .0006481 .0019200 .0052122 .19 .20 .0000334 .0001206 .0005997 .0012153 .0033905- .0086770 .20 .21 .0000712 .0002423 .0007571 .0021726 .0057224 .0138303 .21 .22 .0001442 .0004637 .0013699 .0037180 .0092679 .0212147 .22 .23 .0002788 .0008491 .0023765- .0061133 .0144534 .0314055, .23 .24 .0005166 .0014928 .0039657 .0096883 .0217694 .0449967 .24 .23 .0009204 .0025275- .0063845- .0148402 .0317517 .0625548 .25 .26 .0015808 .0041323 .0099419 .0220252 .0449524 .0845711 .26 .27 .0026242 .0065397 .0150089 .0317422 .0619035- .1114142 •27 .28 .0042196 .0100395- .0220117 .0445089 .0830755, .1432867 .28 .29 .0065856 .0149788 .0314179 .0608297 .1088350- .1801927 .29 .30 .0099936 .0217574 .0437165- .0811595- .1394042 .2219175, .30 .31 .0147695, .0308161 .0593892 .1058650- .1748289 .2680256 .31 .32 .0212894 •0426190 .0788793 ,1351874 .2149571 .3178744 .32 . 33 .0299703 .0576297 .1025553 .1692107 .25943H .3706443 .33 .34 .0412552 .0762821 .1306768 .2078386 .3076950- .4253829 .34 .35 .0555921 .0989482 .1633630 .2507832 .3590176 . 4810574 .35 • 36 .0734080 .1259054 .2005685, .2975667 .4125275, .5366122 .36 .37 .0950791 .1577058 .2420687 .3475376 .4672591 .5910253 .37 .38 .1209003 .1931509 .2874570 .3998989 .5222040 .6433597 .38 .39 .1510548 .2332747 .3561551 .4537471 .5763645- .6928060 .39 .40 .I85588I .2773366 .5874547 .5081193 .6288038 .7387130 .40 .41 .2243889 .3248261 .4404515 .5620422 .6786904 .7806051 .41 .42 .2671785- .3750798 .4942850, .6145819 .7253314 .8181877 .42 .43 .3135107 .4273087 .5479876 .6648884 .7681962 .851340^ .43 .44 .3627836 ,4806352 .6006295- .7122326 .8069261 .8800983 .44 .45 .4142619 .5541356 .6515454 .7560328 ,8413337 .9046723 .45 .46 .4671086 .5868863 .6995752 .7958711 .8713913 .9252169 .46 .47 .5204254 .6380091 .7440846 .8314970 .8972114 .9422027 .47 .48 .5732955, .6867115- .7850055 .8628212 .9190216 .9559867 .48 .49 .6248293 .7323210 .8218245 .8899001 .9371365- .9669863 .49 • 50 .6742061 .7743096 .8543924 .9129144 .9519291 .9756166 .50 550 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V s p I n=44 r=15 n=44 r=l4 n=44 r =13 n=44 r=12 n=44 r=ll n=44 r =10 P .01 .0000000 .OOOOOOO .ooooooo .OOOOOOO .OOOOOOO .OOOOOOO .01 .02 .0000000 .ooooooo .ooooooo .OOOOOOO .OOOOOOO .OOOOOOO .02 .03 .0000000 .ooooooo .ooooooo .OOOOOOO .0000001 .0000006 .03 .04 .ooooooo .ooooooo .ooooooo .0000001 .0000009 .0000074 .04 .05 .0000000 .ooooooo .0000001 .0000011 .0000080 .0000504 .05 .06 .ooooooo .0000002 .0000012 .0000075- .0000436 .0002266 .06 .07 .0000002 .0000010 .0000063 .0000350- .0001732 .0007676 • 07 .08 .0000009 .0000050- .0000265, .0001271 .0005476 .0021120 .08 .09 .0000037 .0000193 .0000902 .0003815- .0014525- .0049560 • 09 .10 .0000135- .0000622 .0002603 .0009845- .0033545, .0102556 .10 .11 .0000419 .0001742 .0006578 .0022474 .0069242 .0191664 .11 .12 .0001145" .0004333 .0014892 .0046348 .0130233 .0329252 .12 .13 .0002812 .0009752 .0030725- .0087745- .0226506 .0526948 .13 .14 .0006305, .0020150- .0058557 .0154404 .0368503 .0794003 .14 .15 .0013060 .0038668 .0104203 .0255069 .0565944 .1135882 .15 .16 .0025241 .0069560 .0174638 .0398752 . 0826604 .1553325- .16 .17 .0045888 .0118191 .0277615, .0593826 .1155227 .2042007 .17 .18 .0079007 .0190889 .0421070 .0847064 .1552752 .2592835- .18 .19 .0129555, .0294612 .0612394 .1162764 .2015968 .3192756 .19 .20 .0203309 .0436467 .0857656 .1542087 .2537624 .3825967 .20 .21 .0306584 .0623113 .1160872 .1982716 .3106969 .4475283 .21 .22 .0445839 .0860112 .1523435- .2478846 .3710615- .5123526 .22 .23 .0627174 .1151308 .1943758 .3021532 .4333605, .5754738 .23 .24 .0855778 .1498312 .2417205- •3599322 .4960548 .6355137 .24 .25 .1135593 .1900159 .2936295- .4199085, •5576674 .6913746 .25 .26 .1467841 .2353180 .3491158 .4806946 .6168740 .7422700 .26 .27 .1852693 .2851104 .4070191 . 5409212 .6725690 .7877250, .27 .28 .2287095, .3385388 .4660826 .5993202 .7239060 ,8275531 .28 .29 .2765807 .3945729 .5250337 .6547916 .7703127 .8618157 .29 .30 .3281416 .4529696 .5826605, .7064498 .8114831 .8907729 .30 .31 .3824741 .5098442 .6378769 .7536485- .8473521 .9148294 .31 .32 .4385360 .5657389 .6897724 .7959849 .8780582 .9344835, .32 .33 .4952217 .6216866 .7376437 .8332864 .9038986 .9502811 .33 .34 .551^259 .6737618 .7810088 .8655841 .9252843 .9627777 .34 .35 .6061032 .7222171 .8196029 .8930771 .9426960 .9725090 .35 .36 .6583198 .7665043 .8533622 .9160928 .9566460 .9799707 .36 .37 .7072940 .8062794 .8823956 .9350469 .9676467 .9856051 .37 .38 .7524218 .8413935, .9069516 .9504054 .9761866 .9897956 .38 .39 .7932896 .8718730 .9273818 .9626530 .9827141 .9928656 .39 .40 .8296723 .8978917 .9441049 .9722661 .9876267 .9950811 .4o .41 .8615197 .9197388 .9575743 •9796931 .9912675- .9966561 .41 .42 .8889354 .9377850- .9682503 .9853417 .9939244 .9977590 .42 .43 .9121477 .9524505, .9765778 .9895707 .9958337 .9985197 .43 .44 .9314795- .9641766 .9829702 .9926874 .9971846 .9990364 .44 .45 .9473165- .9734012 .9877993 .9949483 .9981256 .9993820 .45 .46 .9600786 .9805408 .9913890 .9965625- .9987709 .9996097 .46 .47 .9701944 .9859770 .9940145- .9976965, .9992064 .9997572 .47 .48 .9780808 .9900485- .9959036 .9984805- .9994956 .9998514 .48 .49 .9841273 .9930476 .9972406 .9990135, .9996845, .9999105- .49 .50 .9886856 .9952201 .9981711 •9993700 .9998059 .9999470 .50 351 BINOMIAL DISTRIBUTION Table 2 - Partial Sums . n I s-r 8 q n ” 8 p n-=44 r- 9 n=44 r- 8 n=44 7 n=44 r= 6 n=44 r= 5 n-44 r- 4 p .01 .0000000 .ooooooo .0000003 .0000051 .0000785- .0009866 .01 .02 .0000002 .0000024 .0000256 .-^002353 .OOI8158 .0114965- .02 .03 .0000054 .0000442 .0003158 .0019331 .0099783 .0424943 .03 .04 .0000520 .0003191 .0017055, .0078349 .0304662 .0983604 .04 .03 .0002804 .0013727 .0058601 .0215660 .0674756 .1765110 .05 .06 .0010459 .0042548 .0151246 .0464945- .1221038 .2701722 .06 .07 .0030239 .0105179 .0320451 .0847301 .1924158 .3712511 .07 .08 .0072523 .0220306 .0587767 .1366205- .2743440 .4723216 .08 .09 .0150773 . 0406616 .0965937 .2007713 .3628253 . 5676436 • 09 .10 .0280013 .0679289 .1456260 .2744396 .4527969 .6534489 .10 .11 .0474665- .1047099 .2048507 .3541036 .5398869 .7277814 .11 .12 .0746244 .1510731 .2722890 ,4360368 .6207778 .7901238 .12 .13 .1101418 .2062552 .3453297 .5167800 .6933027 .8409708 .13 .14 .154^799 .2687663 .4210912 .5974589 .7563558 .8814373 .14 .15 .2058639 .3365879 .4967541 .6639452 .8097015, .9129456 .15 .16 .2643405- .4074135, .5698208 .7268857 .8537458 .9369977 .16 .17 .3279 n 29 .4788922 .6382832 .7816365- .8893135, .9550282 .17 .18 •3946593 .5488373 .7007003 .8281409 .9174582 .9683195- :i8 .19 .4626138 .1653820 .7561983 ,8667840 .9393138 •9779646 .19 .20 .5298358 .6770749 .•8044168 .8982477 .9559898 .9848608 .20 .21 .5945988 .7329151 .8454195- .9233830 .9685048- .9897227 .21 .22 .6554787 .7823^05, .8795908 .9431060 .9777506 .9931045, .22 .23 .7114083 .8251795, .9075333 .9583213 .9844797 .9954264 .23 .24 .7616908 .8615810 .•9299743 .9698704 .9893070 .9970006 .24 .25 .8059808 .8919354 .•9476897 .9785014 .9927221 .' '> qQo 549 .25 .26 .8442404 .9167962 .•9614460 .9848555- .9951058 .5987525, • 26 .27 .8766815, .9368095, .9719594 .9894659 .9967477 .9992087 .27 .28 .•9037019 .9526547 .9798718 .•9927640 .9978643 .9995036 .28 .29 .9258228 .9649995, .9857380 .9950910 .9986139 .9995920 .29 .30 .9436328 .9744678 .9900242 .9967107 .9991110 .9998110 .30 .31 .9577413 .9816196 .9931112 .9978230 .9994364 .9998853 .31 .32 .9687418 .•9869415, .9953035, .9985768 .9996469 .9999-512 .32 .33 .9771870 .9908438 .9968389 .9990811 .9997814 .9999592 .33 .34 .9835723 .-9936639 .9978994 .9994140 .9998663 .9999751 .34 .35 .9883282 .9956728 .9986220 .9996309 .9999192 •9999861 .35 .36 .9918181 .9970837 .9991077 .9997705- .9999518 .9999920 .36 .37 .9943416 .9980605 .9994296 .9998591 .9999716 .9999955- .37 .38 .9961396 .9987273 .9996402 .9999146 .9999834 .9999975- .38 .39 .9974022 •9991761 .9997760 .9999489 •9999905- .9999986 .39 .40 .9982759 .9994739 .9998625- .9999698: .9999946 .9999992 .4o .41 .9988716 .9996687 .9999167 .9999824 .9999970 .9999996 .41 .42 .9992719 .9997943 .9999502 .9999899 .9999983 .9999998 .42 .43 .9995369 .9998741 .9999707 .9999943 •9999991 .9999999 .43 .44 .9997098 .9999240 .9999830 .9999968 .9999995, .9999999 .44 .45 .9998208 .9999548 .9999903 .9999982 .9999997 1.0000000 .45 .46 .9998910 .9999736 .9999945, .9999990 .9999999 1.0000000 .46 .47 .9999347 .9999848 .9999970 .9999995- •9999999 1.0000000 .47 .48 .9999615, .9999914 .9999983 .9999997 1.0000000 1.0000000 .48 .49 .9999777 •9999952 .9999991 .9999999 1.0000000 1.0000000 .49 .50 .9999873 .9999974 •9999995, .9999999 1.0000000 1.0000000 .50 352 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-44 r= 3 n ~44 r = 2 n-44 r- 1 n=45 r=39 n-45 r-38 n-45 r=37 p .01 .0097579 .0717832 .3573884 .0000000 .0006000 .0000000 .01 .02 .05777*19 .2197492 .5889001 .0000000 .0006000 .0000000 .02 .03 .1450652 .3819551 .7382080 .0000000 .0006000 .0000000 .03 .04 .2573320 .5298549 .8340664 .0000000 .0000000 .0000000 .04 .03 .3786252 .6529232 .8953250 .0000000 .0000000 .0000000 .05 .06 .4964880 .7497462 .9342909 .0000000 .0000000 .0000000 .06 .07 .6030515- .8230253 .9589560 .0000000 .0006000 .0000000 • 07 .08 .6944429 .8768996 .9744927 .0000000 .0000000 .0000000 .08 .09 .7696866 .9156065, .9842304 .0000000 .0000000 .0000000 .09 .10 .8296311 .9428911 .9903023 .0000000 .0000000 .0000000 .10 .11 .8760972 .9618122 .9940686 .0000000 .0000000 .0000000 .11 .12 .9112819 .9747457 .9963922 .0000000 .0000000 .0000000 .12 .13 .937384*1 .9834723 .9978180 .0000000 .0000000 .0000000 .13 .14 .9563991 .9892905- .9986880 .0000000 .0000000 .0000000 .14 .15 .9700236 .9931266 .99.92158 .0000000 .0000000 .0000000 .15 .16 .9796390 .9956295- .9995341 .0000000 .0000000 .0000000 .16 .17 .9863299 .9972460 .9997249 .0000000 .0000000 .0000000 .17 .18 .9909245- .9982801 .9998386 .0000000 .0000000 .0000000 .'18 .19 .9940*101 .9989353 .9999060 .0000000 .0000000 .0000000 .19 .20 .9961276 .9993467 .9999456 .0000000 .0000000 .0000000 .20 • 2i .9975101 .9996026 .9999687 .0000000 .0000000 .0000000 .21 .22 .9984154 .9997603 .9999821 .0000000 .0000000 .0000000 .22 .23 .9990018 .9998567 .9999899 .0000000 .0000000 .0000000 .23 .24 .9993775- .9999151 .9999943 .0000000 .0000000 .0000000 .24 .25 .9996157 .9999501 .9999968 .0000060 .0000000 .0000000 .25 .26 .9997651 •9999710 .9999982 .0000000 .0000000 .0000000 .26 .27 .9998579 .9999833 .9999990 .0000000 .0000000 .0000000 .27 .28 •9999149 .9999904 .9999995- .0000000 .0000000 .ccoocoo .28 .29 .9999496 .9999946 .9999997 .0000000 .0000000 .0000000 .29 .30 .9999704 .9999970 .9999998 .0000000 .0000000 .0000000 .30 .31 .9999828 .9999983 .9999999 .0000000 .0000000 .0000000 .31 .32 .9999901 .9999991 1.0000000 .0000000 .0000000 .OOOOOQO .32 • 33 •9999944 .9999995- 1.0000000 .0000000 .0000000 .0000000 .33 .34 .9999968 •9999997 1.0000000 .0000000 .0000000 .0000000 .34 .35 .9999982 .9999999 1.0000000 .0000000 .0000000 .0000000 .35 .36 .9999990 .9999999 1.0000000 .0000000 .0000000 .0000000 .36 .37 .9999995- 1.0000000 1.0000000 .0000000 .0000000 .0000000 .37 .38 .9999997 1.0000000 1.0000000 .0000000 .0000000 .0000000 .38 .39 .9999999 1.0000000 1.0000000 .0000000 .0000000 .0000000 .39 .40 .9999999 1.0000000 1.0000000 .0000000 .0000000 .0000000 .40 .41 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .41 •' *2 1.0000000 1.0000000 i.0000000 .0000000 .0000000 .0000000 .42 .43 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000001 .43 .44 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000002 .44 .45 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .0000003 .45 .46 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .0000006 • 46 .47 1.0000000 1.0000000 1.0000000 .0000000 .0000002 .0000012 .47 .48 1.0000000 1.0000000 1.0000000 .0000001 .0000004 .0000023 .48 .49 1.0000000 1.0000000 1.0000000 .0000001 .0000008 .0000042 .49 .50 1.0000000 1.0000000 1.0000000 .0000003 .0000016 .0000077 • 50 353 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n=45 r - J >6 n=45 r-35 n=45 r=34 n-45 r*33 n*45 r=32 n=45 r=31 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .cooOooo .03 .04 .0000000 .0000000 .0000000 .0000000 .6000000 .0006000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 ,6000000 .0000000 .10 .11 .000.0000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 . QOOQOQO .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .6000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .19 .20 .OOOOOOQ .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 . OO 0 QOOO .0000000 .0000000 .0000000 .0000000 .21 .22 . OOOOOO'O .0060000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0060000 .0006000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0060000 .0000000 .0000000 .0000000 .0000000 •25 .26 .0000000 .0060000 .0000000 .0000000 .0000000 .0000000 • 26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .OOOQOOO .0000000 .0000000 .0000000 .0000600 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 •29 .30 . 00.00000 .0000000 .0000000 .0000000 .0000000 .0000001 .30 .31 . 00.00000 .0000000 .0000000 .0000000 .0000000 .0000002 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .32 .33 .0000000 .OOOOOOQ .0000000 .0000000 .0000002 .0000009 .33 .34 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .34 .35 -.0000000 .0000000 .0000000 .0000002 .0000009 .0000038 .35 .36 •.0000000 .0600000 .0000001 .0000004 .0000618 .0000075- .36 .37 .0000000 .0600000 .0000002 .0000008 .0000035, .0000142 .37 .38 .0000000 .0600001 .0000003 .0060016 .0000068 .0000263 .38 .39 .0000000 .0000001 .0000007 .0000031 .0000128 .0000475- .39 .4o .0000001 .0000003 .0000014 .0000060 .0000236 .0000839 .40 .41 .0000001 .0000006 .0000027 .0000112 .0000423 .00014^8 .41 .42 .0000002 .0000011 .0000050, .0000204 .0000744 .0002446 .42 .43 .0000004 .0000021 .0000094 .0000365, .0001279 .0004047 .43 .44 .0000009 .0000041 .0000171 .0000640 .0002154 .0006560 .44 .45 .0000017 .0000075, .0000304 .0001097 .0003557 .0010428 .45 .46 .0000031 .0000137 .0000532 .0001846 .0005761 .0016266 .46 .47 .0000058 .0000244 .0000912 .0003047 .0009157 .0024907 .47 .48 .0000105, .0000427 .0001535, .0004938 .0014294 .0037463 .48 .49 .0000188 .0000735 .0002537 ,0007860 .0021922 .0055375, .49 .50 .0000329 .0001235, .0004120 .0012294 .0033044 .0080472 .50 354 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ’ 8 p In -4.5 r=30 n=45 r-29 n=45 r =28 n=45 r=27 n=45 r =26 n=45 r=25 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000600 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 •.17 • 18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .20 .21 .0000000 .0000000 ■.0000000 .0000000 .0000001 .0000004 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .22 .23 .0000000 .0000000 .0000000 .0000001 .0000005, .0000024 .23 .24 .0000000 .0000000 .0000001 .0000003 .0000013 .0000055- .24 .25 .0000000 .0000000 .0000001 .0000007 .0000030 .0000119 .25 • 26 .0000000 .0000001 .0000003 .0000016 .0000065- .0000247 • 26 .27 .0000000 .0000002 .0000008 .0000034 .0000136 .0000492 •27 .28 .0000001 .0000004 .0000018 .0000073 .0000273 .0000944 .28 .29 .0000002 .0000009 .0000038 .0000148 .0000531 .0001750, .29 .30 .0000004 .0000019 .0000078 .0000291 .0000997 .0003140 .30 . 3i .0000009 .0000040 .0000155- .0000553 .0001814 .0005462 .31 • 32 .0000019 .0000080 .0000298 .0001020 .0003202 .0009227 .32 . 33 .0000040 .0000156 .0000558 .0001828 .0005491 .0015160 .33 .34 .0000079 .0000296 .0001014 .0003182 .0009165, .0024262 .34 .35 .0000151 .0000545, .0001793 .0005396 .0014907 .0077869 .35 • 36 .0000283 .0000979 .0003088 .0008921 .0023657 .0057714 .36 *37 .0000517 .0001713 .0005189 .0014395- .0036670 .0085975, .37 .38 .0000919 .0002926 .0008514 .0022694 .0055573 .0125310 .38 .39 .0001596 .0004883 .0013653 .0034992 .0082421 .0178860 .39 .4o .0002708 .0007966 .0021420 .0052813 .0119729 .0250216 .40 .41 .0004496 .6012718 .0032904 .0078088 .0170487 .0343340 .41 .42 .0007305, .6019887 .0049525, .0113194 .0238137 .0462439 .42 .43 .0011630 .6030476 .0073094 .0160973 .0326512 .0611778 .43 .44 .0018149 .0045805, .010585c- .0224726 .0439727 .0795^56 .44 .43 .0027785- .0067561 .0150492 .0308164 .0582015, .1017134 .45 .46 .0041751 .0097847 .0210182 .0415316 .0757518 .1279749 .46 .47 .0061612 .0139220 .0288511 .0550387 .0970034 .1585218 .47 .48 .0089336 .0194703 .038942^ .0717566 .1222732 .1974174 .48 .49 .0127335- .0267766 .0517102 .0920790 .1517866 .2325746 .49 • 50 .0178489 .0362271 .0675782 .1163466 .1856490 .2757422 • 50 355 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 ST s q n-s p n=45 r=24 n=45 r =23 n-45 r-22 n=45 r-21 ■ ■ . ■■ / n=45 r-20 n=45 r =19 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .ooooooc .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .13 .14 .0000000 .0000000 .0000000 .0000001 .0000008 .0000036 .14 .15 .0000000 .0000000 .0000001 .0000005- .0000023 .0000102 .15 .16 .0000000 .0000001 .0000003 .0000014 .0000063 .0000261 .16 .17 .0000000 .0000002 .0000008 .0000038 .0000160 .0000619 .17 .18 .0000001 .0000005- .0000023 .0000097 .0000380 .0001371 .18 .19 .0000003 .0000013 .0000057 .0000228 .0000842 .0002856 .19 .20 .0000007 .0000033 .0000135- .0000508 .0001764 .0005628 .20 .21 .0000018 .0000078 .0000301 .0001071 .0003504 .0016544 .21 .22 .0000044 .0000175- .0000638 .0002144 .0006630 .0018865, .22 .23 .0000099 .0000373 .0001289 .0004099 .0012004 .0032359 .23 .24 .0000213 .0000759 .0002489 .0007509 .0020863 .0053391 .24 .25 .0000438 .0001481 .0004612 .0013221 .0034917 .0084984 .25 .26 .0000863 .0002778 .0008226 .0022442 •0056428 .0130836 • 26 .27 .0001638 .0005019 .0014159 .0036814 .0088264 .0195269 .27 .28 .0002998 .0008759 .0023573 .0058492 .0133917 .0283109 . 28 .29 .0005305- .0014797 .0038038 .0090196 .0197461 .0399473 .29 .30 .0009093 .00242^6 .0059603 .0135227 .0283451 .0549494 .30 .31 .0015129 .0038601 .0090845- .0197440 .0396738 .0737967 .31 .32 .0024*169 .0059803 .0134889 .0281149 .0542223 .0968979 .32 .33 .0038531 .0090293 .0195387 .0390979 .0724552 .1245516 .33 .34 .0059150, .0133031 .0276447 .0531643 .0947763 .1569118 .34 .35 .0088636 .0191487 .0382496 .0707667 .121493 1 * .1939601 .35 .36 .0129792 .0269579 .0518090 .0923070 .1527841 .2354879 .36 .37 .0185919 .0371563 .0687661 .1181030 .1886681 .2810922 .37 .38 .0260765- .0501861 .0895229 .1483556 .2289872 .3301849 .38 .39 .0358433 .0664836 .1144082 .1831206 .2733981 .3820160 .39 .4o .0483228 .0864520 .1436459 .2222875- .3213758 .4357086 .40 .41 .0639460 .1104322 .1773269 .2655681 .3722324 .4903036 .41 .42 .0831190 .1386711 .2153859 .3124970 .4251460 .5448097 .42 .43 .1061949 .1712935, .2575871 .3624439 .4792006 .5982549 .43 ,44 .1334439 .2082779 .3035212 .4146383 .533^327 .6^97348 .44 .45 .1650244 .2494391 .3526125, .4682050, .5868800 .6984547 .45 .46 .2009575, .2944214 .4041398 .5222064 .6386303 .7437623 .46 .47 .2411074 .3427020 .4572662 .5756897 .6878646 .7851684 .47 .48 .2851708 .3936066 .5110788 .6277352 .7338925- .8223569 .48 .49 .3326764 .4463356 .5646339 .6775002 .7761776 .8551814 .49 .50 .3829959 .5000000 .6170041 .7242578 .8143510 .8836534 .50 356 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r V s p n=45 r=l8 n =45 r=17 n-45 r=l6 n=45 r=15 n=45 r=l4 n-45 r=l3 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .'0000000 .0000000 .0000000 .0000000 .0000002 .05 .06 ,0000000 .0000000 .0000000 .0000000 .0000002 .0000015, .06 .07 .0000000 .0000000 .0000000 .0000002 .0000014 .0000083 • 07 .08 .0000000 .0000000 .0000002 .0000012 .0000067 .0000346 .08 .09 .0000000 .0000002 .0000009 .0000051 .0000256 .0001164 .09 .10 .0000001 .0000007 .0000037 .0000184 .0000820 .0,003327 .10 .11 .0000005- .0000026 .0000128 .0000564 .0602274 .0008327 .11 .12 .0000018 .0000086 .0000380 .0001527 .0005600 .0018667 .12 .13 .0000057 .0000250- .0001008 .0003715- .0012478 .0038137 .13 .14 .0000161 .0000654 .0002429 .0008244 .0025527 .0071976 .14 .13 .0000417 .0001565- .0005378 .0016901 .0648498 .0126833 .15 .16 .0000992 .0003461 .0011059 .0032332 .0086372 .0210496 .16 .17 .0002196 .0007143 .0021305- .0058179 .0145293 .0331371 .17 .18 .0004551 .0013863 .0038729 .0099146 .0232322 .0497749 .18 .19 .0008898 .0025455, .0066834 .0160916 .0354990 .0716964 .19 .20 .0016504 .0044470 .0110045, .0249940 .0520705- .0994542 .20 • 2i .0029180 .0074250, .0173642 .0373055, .0736043 .1333460 .21 .22 .0049390 .0118962 .0263559 .0536979 .1006043 .1733625, .22 .23 .0080315- .0183524 .0386072 .0747725- .1333572 .2191646 .23 .24 .0125878 .0273440 .0547362 .1009987 .1718847 .2700913 .24 .25 .0190681 .0394525, .0753009 .1326584 .2159193 .3251992 .25 .26 .0279863 .0552533 .1007^65, .1698029 .2649054 .3833263 .26 .27 .0398858 .0752714 .1317551 .2122264 .3180257 .4431727 • 27 .28 .0553075, .0999347 .1672051 .2594617 .3742511 .5033891 .28 .29 .0747512 .1295287 .2081^52 .3107984 .4324065, .5626635- • 29 .30 .0986329 .1641582 .2537847 .3653200 .4912469 .6197973 .30 .31 .1272438 .2037199 .3035047 .4219588 .5495343 .6737661 .31 .32 .1607137 .2^78906 .356^861 .4795609 .6061096 .7237604 .32 .33 .1989834 .2961314 .4117548 .5369551 .6599525- .7692058 .33 .34 .2417898 .3477089 .4682375, .5930201 .7102258 .8097644 .34 .35 .2886652 .4017315, .5248234 .6467430 .7563021 .8453189 .35 .36 .3389526 .4571980 .5804270 .6972662 •7977732 .8759452 .36 .37 .3918346 .5130526 .6340447 .7439186 .8344424 .9018765, .37 .38 .4463748 .5682432 .6848033 .7862311 .8663056 .9234641 .38 .3-9 .5015679 .6217767 .7319946 .8239371 .8935214 .9411376 .39 .40 .5563931 .6727675- .7750967 .8569600 .9163770 .9553694 .4o .41 .6098679 .7204754 .8137801 .8853895, .9352514 .9666430 .41 .42 .6610967 .7643311 .8479018 .9094522 .9505804 .9754287 .42 .43 .7093108 .8039480 .8774874 .9294779 .9628252 .9821647 .43 .44 .7538977 .8391219 .9027060 .9458662 .9724458 .9872458 .44 .45 .7944182 .8698181 .9238402 .9590546 .9798803 .9910163 .45 .46 .8306104 .8961511 .9412533 .9694912 .9855310 .9937688 .46 .47 .8623828 .9183573 .9553588 .9776122 .9897546 .9957450, .47 .48 .8897974 .93676^8 .9665919 .9838253 .9928589 .9971405, .48 .49 .9130460 .9517629 .9753854 .9884983 .9951022 .9981093 .49 .50 .9324218 .9637729 .9821511 .9919528 •9966956 .9987706 .50 357 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n- s p n-^5 r-12 n=45 r=ll n*45 r=10 n-45 r* 9 n*45 r = 8 n=45 r= 7 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000003 .01 .02 .0000000 .0000000 .0000000 .0000002 .0000029 .0000298 .02 .03 .0000000 .0000001 .0000007 .0000065, .0000524 .0003643 .03 .04 .0000001 .0000012 .0000092 .0000627 .00037^6 .0019507 .04 .05 .0000015- .0000102 .0000619 .0003350- .0015971 .0066454 .05 .06 .0000097 .0000546 .0002758 .0012385- .0049070 .0170068 .06 .07 .0000446 .0002149 .0009256 .0035485- . 01202^8 .0357330 .07 .08 .0001607 .0006727 .0025232 .0084345, .0249703 .06500^2 .08 .09 .0004779 .0017678 .0058669 .0173798 .0456955- .1059696 • 09 .10 .0012215- .0040446 .0.120302 .0319940 .0756986 .1585074 .10 .11 .0027619 .OO82708 .0222794 .0537633 .1157254 .2212685- .11 .12 .0056414 .0154115- .0379291 .0837983 .1656190 .2919387 .12 .13 .0105784 .0265564 .0601629 .1226366 .2243348 .3676183 .13 .14 .0184378 .0428073 .0898554 .1701360 .2900918 .4452227 .14 .15 .0301700 .0651435- .1274296 .2254725, .3606128 .5218328 .15 .16 .0467208 .0942879 .1727737 .2872^22 .4333987 .5949512 .16 .17 .0689264 .1305980 .2252301 .3535711 .5059887 .6626533 .17 .18 .0974088 .1739967 .2836511 .4224113 .5761726 .7236396 .18 .19 .1324872 .2239558 •3^65099 .4916397 .6421371 .7772096 .19 .20 .1741195- .2795293 .4120445- .5592836 .7025433 .8231830 .20 .21 .2218809 .3394315, .,4784131 .6236452 .7565410 .8617918 .21 .22 .2749835- .4021455, .5438404 .6833883 .8037356 .8935642 .22 .23 .3323509 .4660466 .6067388 •7375757 .8441209 .9192146 .23 .24 .3926016 .5295249 .6657962 .7856644 .8779954 .9395494 .24 .25 .4543482 .5910942 .7200262 .8274694 .9058740 .9553926 .25 .26 .5161013 .6494770 .7687823 .8631049 .928^052 .9675325- .26 .27 .5764661 .7036612 .8117433 .8929161 .9463000 .9766862 .27 .28 .6342042 .7529272 .8488747 .9174087 .9602755, .9834816 .28 .29 .6882927 • 7968486 .8803778 .9371841 .9710137 .9884504 .29 .30 .7379598 .8352700 .9066309 .9528833 .9791347 .9920301 .30 .31 .7826966 .8682701 .9281321 .9651436 .9851820 .9945719 .31 .32 .8222483 .8961143 .9454462 .9745657 .9896174 .9963510 .32 .33 .8565884 .9192048 .9591601 .9816937 .9928222 .9975788 .33 .34 .8858822 .9380321 .9698479 .9870035- .9951040 .9984144 .34 .35 .910^437 .9531306 .9780457 .9908988 .9967050, .9989751 .35 • 36 .9306920 .9650429 .9842357 .9937137 .9978123 .9993463 .36 .37 .9471088 .9742913 .9888376 .9957176 .9985671 .9995885, .37 .38 .9602023 .9813580 .9922063 .9971230 .9990742 •9997445- .38 .39 .9704768 .9866732 .9946349 .9980940 .9994101 .9998434 .39 .40 .9784103 .9906085- .9963590 .9987551 .9996293 .9999054 .40 .41 .9844386 .9934768 •9975645- .9991984 .9997704 .9999436 .41 .42 .9889464 .9955349 .9983944 .9994913 .9998598 .9999669 .42 .43 .9922638 .9969887 .9989571 .9996819 .9999156 .9999808 .43 .44 .9946662 .9979994 .9993327 .9998040 .9999500- .9999891 .44 .45 .9963781 .9986910 .999579,5- .9998811 .9999708 .9999939 .45 .46 .9975783 •9991567 .9997391 .9999290 .9999832 .9999966 .46 .47 .9984062 .9994653 .9998407 .9999582 .9999905- .9999981 .47 .48 •9989677 .9996664 .9999043 .9999758 .9999947 .9999990 .48 .49 •9993423 .9997953 .9999434 .9999863 .9999971 .9999995- .49 .50 .9995880 .9998765- .9999671 .9999923 .9999984 .9999997 .50 358 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z s-r s q n-s p n=45 r- 6 n=45 r= 5 n=4 5 r= 4 n-45 r= 3 n=4-5 r= 2 n=45 r= 1 p .01 .0000058 .OOOO876 .0010743 .0103781 .0746393 .3638145, .01 .02 .0002669 .0020094 .0124220 .0610144 .2271323 .5971221 .02 .03 .0021745- .0109538 .0455714 .1521719 .3926426 .7460618 .03 .04 .0087401 .0331820 .1047193 .2682330 .5420234 .8407038 .04 .05 .0238615- .0729274 .1866167 .3923401 .6650433 .9005597 .05 .06 .0510310 .1309879 .2837511 .5H6835- .7668189 .9382334 .06 .07 .0922681 .2049343 .3874771 .6184496 .8325405- .9618291 • 07 .08 .1476384 .2901822 .4900913 .7090394 .8847070 .9765333 .08 .09 .2153561 .3812589 .5858275- .7828194 .9217827 .9856496 .09 .10 .2922754 .4728621 .6710671 .8409571 .9476322 .9912720 .10 .11 .3745397 .5605553 .7440961 .8855258 .9653604 .9947210 .11 .12 .4582057 .6410993 .8046628 .9188976 .9773433 .9968252 .12 .13 .5397279 .7124995, .8535045, .9433758 .9853372 .9981017 .13 .14 .6162644 .7738672 .8919320 .9610039 .9906061 .9988717 .14 .13 .6858086 .8251881 .9215073 .9734891 .9940400 .9993334 .15 .16 .7471833 .8670661 .9438203 .9821975- .9962542 .9996086 .16 .17 •7999416 .9004850, .9603495- .9881856 .9976674 .9997717 .17 .18 .8442180 .9266132 .9723884 .9922485- .9985606 .9998677 .18 .19 .8805646 .9466574 .9810189 .9949702 ..9991197 .9999238 .19 .20 .9097961 .9617640 .98711^2 .9967714 .9994664 .9999564 .20 .21 .9328586 .9729605, .9913581 .9979495- .9996795- .9999753 .21 .22 .9507278 .9811285- .9942729 .9987113 .9998091 .9999861 .22 .23 .9643377 .9869974 .9962487 .9991984 .9998874 .9999922 .23 .24 .9745352 .9911534 .9975710 .9995065, .9999341 .9999957 .24 .25 .9820565, .9940553 .9984451 .9996993 .9999618 .9999976 .25 .26 .9875206 .9960539 .9990158 .9998186 .9999781 .9999987 .26 .27 .9914320 .9974122 .9993840 .9998917 .9999875, .9999993 .27 .28 .9941921 .9983233 .9996188 .9999360 .9999930 .9999996 .28 .29 .9961127 .9989266 .9997667 .9999626 .9999961 .9999998 .29 .30 .9974308 .9993210 .9998588 .9999784 .9999973 .9999999 .30 .31 .9983232 .9995756 .9999156 .9999876^ .9999988 .9999999 .31 .32 .9989193 .9997379 .99995°1 .9999930 .9999994 1.0000000 .32 .33 .9993122 .9998401 .9999708 .9999961 .9999997 1.0000000 .33 .34 .9995678 .9999036 .9999831 .9999978 .9999998 1.0000000 .34 .35 .9997318 .9999426 •9999904 .9999988 .9999999 1.0000000 .35 .36 .9998357 .9999663 .9999946 .9999994 1.0000000 1.0000000 .36 .37 .9999007 .9999804 .9999970 .9999997 1.0000000 1.0000000 .37 .38 .9999407 .9999888 .9999983 .9999998 1.0000000 1.0000000 .38 .39 .9999651 .9999936 .9999991 •9999999 1.0000000 1.0000000 .39 .40 .9999797 .9999965- •9999995, 1.0000000 1.0000000 1.0000000 .40 .41 .9999884 .9999980 .9999997 1.0000000 1.0000000 1.0000000 .41 .42 .9999934 .9999989 .9999999 1.0000000 1.0000000 1.0000000 .42 .43 .9999963 .9999994 .9999999 1.0000000 1.0000000 1.0000000 .43 .44 .9999980 .9999997 1.0000000 1.0000000 1.0000000 1.0000000 .44 .45 .9999989 .9999998 1.0000000 1.0000000 1.0000000 1.0000000 .45 .46 .9999994 .9999999 1.0000000 1.0000000 1.0000000 1.000O000 • 46 .47 .9999997 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .47 .48 .9999998 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .48 .49 .9999999 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .49 .50 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 .50 832939 0 - 50 - 24 359 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n=46 r-4o n=46 r-39 n=46 r=38 n=46 r=37 n-46 r-36 n=46 r=35 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .OOOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .coooooo .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .oocoooo .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .34 .35 .0000000 .0000000 .0000000 1 .0000000 .0000000 .0000600 .35 .36 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .37 .38 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .38 .39 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .39 .40 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .40 .41 .0000000 .0000000 .0060000 .0000001 .0000003 .0000014 .41 .42 .0000000 .0000000 .0000000 .0000001 .0000006 .0000028 .42 .43 .0000000 .0000000 .0000000 .0000002 .0000012 .0000053 .43 .44 .0000000 .0000000 .0000001 . 0000005 - .0000023 .0000098 .44 .45 .0000000 .0000000 .0000002 .0000009 .0000043 .0000178 .45 .46 .0000000 .0000001 .0000003 . 0000018 .0000080 .0000319 .46 .47 .0000000 .0000001 .0000007 .0000034 . 0000145 , .0000558 .47 .48 .0000000 .0000002 .0000013 .0000062 .0000260 .0000959 .48 .49 .0000001 . 0000005 - . 0000025 - .0000114 . 0000455 - .0001617 .49 .50 .0000002 .0000009 .0000046 .0000203 .0000782 .0002678 .50 360 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=46 r=34 n=46 r=33 n-46 r*32 n-46 r*31 n*46 r=30 n=46 i*=29 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .00000.00 .0Q00000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0Q00000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0Q00000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .OQOOOOO .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0O00000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .OQOOOOO .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .OQOOOOO .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 . GOOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .25 .26 .0000000 .0000000 .0000000 .0.000000 .0000000 .0000001 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .28 .29 .0000000 .0000000 .0000000 .0000001 .0000004 .0000017 .29 .30 .0000000 .0000000 .0000000 .0000002 .0000009 .0000037 .30 .31 .0000000 .0000000 .0000001 .0000004 .0000019 .0000075, .31 .32 .0000000 .0000000 .0000002 .0000009 .0000039 .0000150- .32 .33 .0000000 .0000001 .0000004 .0000019 .0000078 .0000288 .33 .34 .0000000 .0000002 .0000009 .0000039 .0000152 .0000540 .34 .35 .0000001 .0000004 .0000019 .0000078 .0000289 .0000982 .35 .36 .0000002 .0000009 .0000038 .0000150- .0000534 .0001738 .36 .37 .0000004 .0000018 .0000075- .0000280 .0000959 .0002999 .37 .38 .0000008 .0000036 .0000142 .0000512 .0001682 .0005050- .38 .39 .0000016 .0000069 .0000263 .0000912 .0002878 .0008303 .39 .40 .0000032 .0000130 .0000477 .0001587 .0004811 .0013348 .40 .41 .0000062 .0000240 .0000844 .0002698 .0007867 .0020994 .41 .42 .0000115, .0000431 .0001459 .0004487 .0012590 .0032335, .42 .43 .0000211 .0000758 .0002469 .0007307 .0019734 .0048802 .43 .44 .0000377 .0001306 ,0004093 .0011659 .0030318 .0072225- .44 .45 .0000661 .0002204 .0006649 .0018239 .0045684 .0104880 .45 .46 .0001136 .0003647 .0010593 .0027989 .0067555, .0149521 .46 .47 .0001916 .0005919 . .0016560 .0042159 .0098088 .0209387 .47 .48 .0003169 .0009429 .0025416 .0062362 .0139912 .0288169 .48 .49 .0005145, .0014750, .0038314 .0090635, .0196146 .0389940 .49 .50 .0008207 .0022669 .0056758 .0129480 .0270380 .0519027 .50 561 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-8 p n-46 v-28 D II CT\ II r\-> -4 n=46 r=26 n=46 r-25 n=46 r*24 n=46 r =23 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000002 .0000008 .18 .19 .0000000 .0000000 .0000000 .0000001 .0000005- .0000021 .19 .20 .0000000 .0000000 .0000001 .0000003 .0000012 .0000053 .20 .21 .0000000 .0000000 .0000001 .0000007 .0000051 .0000125- .21 .22 .0000000 .0000001 .0000004 .0000018 .0000075 .0000277 .22 .23 .0000000 .0000002 .0000010 .0000041 .0000162 .0000583 .23 .24 .0000001 .0000005, .0000023 .0000093 .0000544 .0001174 .24 .25 .0000003 .0000013 .0000052 .0000199 .0000699 .0002264 •25 .26 .0000007 .0000028 .0000112 .0000407 .0001561 .0004194 .26 .27 .0000015, .0000062 .0000232 .0000801 .0002551 .0007487 .27 .28 .0000033 .0000129 .0000461 .0001519 .0004611 .0012907 .28 .29 .0000070 .0000259 .0000885- .0002781 .0008057 .0021537 •29 .30 .0000142 .0000503 .0001640 .0004926 .0015659 .0034853 .30 .31 .0000278 .0000944 .0002945- .0008459 •0022405, .0054796 .31 .32 .0000529 .0001718 .0005130 .0014104 .0055776 .0083831 .32 .33 .0000977 .0003036 .0008682 .0022872 .0055612 .0124974 .33 .34 .0001751 .0005217 .0014298 .0036124 .0084270 .0181793 .34 .35 .0003054 .0008725. .0022944 .0055638 .0124654 .0258340 .35 .36 .0005188 .0014226 .0035918 .0083662 .0180115, .0359043 .36 .37 .0008595, .0022636 .0054913 .0122954 .0254607 .0488520 .37 .38 .0013902 .0035188 .0082073 .0176783 .0552582 .0651341 .38 .39 .0021975, .0053489 .0120032 .0248893 .0477930 .0851742 .39 .4o .0033977 .0079580 .0171924 .0343421 .0655745, .1093296 .40 .41 .0051429 .0115972 .0241357 .0464749 .0850053 .1378590 .41 .42 .0076266 .0165670 .0332344 .0617314 .1064509 .1708913 .42 .43 .0110882 .0232155 - .0449176 .0805351 .1341873 .2083998 .43 .44 .0158155, .0319326 .0596248 .1032608 .1663708 .2501849 .44 .45 .0221445- .0431397 .0777819 .1302034 .2030110 .2958671 .45 .46 ♦0304544 .0572729 .0997745- .1615469 .2439509 .3448918 .46 .47 .0411592 .0747621 .1259170 .1973370 . .2888569 .3965472 .47 .48 .0546932 .0960046 .1564224 .2374590 .3372200 .'4499933 .48 .49 .0714909 .1213357 .1913727 .2816245- .3883694 .5043018 .49 .50 .0919624 .1509978 .2306956 .3293690 .4414980 .5585020 .50 362 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r 8 q n ’ 8 p n =46 r =22 n =46 r-21 n =46 r=20 n -46 r=19 n =46 r=l8 n -46 r -17 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .10 .11 .0000000 .0000000 .0000000 .0000001 .0000007 .0000037 .11 .12 ,0000000 .0000000 .0000001 .0000005, .0000026 .0000121 .12 .13 .0000000 .0000001 .0000003 .0060018 .0000082 .0000349 .13 .14 .0000000 .0000002 .0000012 .0000054 .0000230 .0000903 .14 .15 .0000001 .0000007 .0000035- .0000149 .0000589 .0002137 .15 .16 . 0000005 - .0000022 .0000095- .0000378 .0001387 .0004677 .16 .17 .0000013 .0000059 .0000238 .0000887 .0003037 .0009551 .17 .18 .0000036 .0000147 .0000558 .0001944 .0006227 .0018338 .18 .19 ,0000089 .0000345, .0001225, .0004004 .0012044 .0033317 .19 .20 .0000209 .0000760 .0002537 .0007803 .0022097 .0057585- .20 .21 .0000463 .0001582 .0004982 .0014457 . 0038645 , .0095123 .21 .22 .0000970 .0003131 .0009322 .0025580 .0064696 .0150773 .22 •23 . 0001935 , .0005917 .0016686 .0043389 .0104053 .0230110 .23 .24 .0003694 .0010714 .0028670 .0070788 .0161293 .0339181 .24 .25 .0006764 . 0018645 , .0047434 .0111408 .0241642 .0484146 .25 .26 .0011923 .0031278 .0075774 .0169583 .0350757 .0670815, .26 .27 .0020276 .0050705, .0117155, .0250238 .0494399 .0904140 .27 .28 .0033350, .0079611 .0175691 .0358699 .0678031 .1187704 .28 .29 .0053164 .0121303 .0256045- .0500405- .0906367 . 1523275 - .29 .30 .0082290 .0179694 .0363264 .0680544 .1182905- .1910461 .30 .31 .0123889 .0259222 .0502519 .0903653 .1509514 .2346532 .31 .32 .0181692 .0364692 .0678785- .1173189 .1886103 .2826412 .32 .33 .0259932 .0501058 .0896470 .1491141 .2310422 .3342871 .33 .34 .0363214 .0673124 .1159024 .1857703 .2778023 .3886886 .34 .35 .0496306 .0885211 .1468567 ,2271069 .3282384 .4448137 .35 .36 .0663883 .1140788 .1825575- .2727352 .3815210 .5015604 .36 .37 .0870208 .1442121 .2228650- .3220669 .4366852 .5578197 .37 .38 .1118793 .1789956 .2674424 .3743371 . 4926848 .6125360 .38 .39 .1412060 .2183288 .3157591 .4286412 .5484493 .6647617 .39 .40 .1751025, .2619228 .3671089 .4839824 .6029429 .7136992 .40 .41 .2135058 . 3093005 - .4206416 . 5393250 - .6552170 .7587303 .41 .42 .2561725, .3598096 .4754048 .5936503 .7044551 .7994308 .42 .3026755, .4126493 .5303940 .6460089 .7500048 .8355699 .43 .44 .3524127 .4669078 .5846056 . 6955665 - .7913963 .8670989 .44 .45 .4046292 .5216088 .6370886 .7416383 .8283481 .8941280 .45 .46 .4584504 .5757614 .6869910 .7837124 .8607591 .9168981 • 46 .47 .5129252 .6284119 .7335974 .8214592 .8886908 .9357480 . 4 ? .48 .5670739 .6786907 .7763554 .8547283 .9123418 .9510818 .48 .49 .6199384 .7258521 .8148895- .8835351 .9320172 .9633379 .49 .50 .6706310 . 76930^4 .8490022 .9080376 .9480975 .9729620 .50 363 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n =46 r =16 n =46 r =15 n =46 r=l 4 n =46 r=13 n =46 r=12 n =46 r=ll P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000002 .0000015, .04 ♦ 03 .0000000 .0000000 .0000000 .0000003 .0000019 .0000127 • 05 .06 .0000000 .0000000 .0000003 . 000002Q .0000124 .0000679 .06 ♦ 07 .0000000 .0000003 .0000019 .0000109 .OOO 0566 .0002646 .07 .08 .0000003 .0000016 .0000089 .0000447 .0002017 .0008207 .08 .09 .0000013 .0000070 .0000338 .0001489 .0005939 .0021367 • 09 .10 .0000052 .0000247 .0001071 .0004216 .OOI5030 .0048432 .10 .11 .0000176 .0000752 .0002940 .0010449 .0033678 .0098118 .11 .12 .0000517 .0002016 .0007168 .0023196 .0068139 .OI8II36 .12 .13 .0001360 .0004854 .0015814 .0046931 . 0126555 , .0309252 .13 .14 .0003243 .0010563 .0032030 .0087712 . 0218495 , .0493941 .14 ♦ 15 .0007106 .0021641 .0060249 .0153065 .0354160 .0744864 • 15 .16 . 0014462 * .0040978 .0106232 .0251570 . 0543315 , .1068457 .16 .17 .0027573 .0072989 .0175927 .0392213 .0794106 .1465854 • 17 .18 .0049604 .0123117 .0280099 .0583490 .1111946 . 1937345 - .18 .19 .0084710 .0197790 . 0423765 , .0832467 .1498663 .2472411 .19 .20 .0138624 .0304093 .0615472 .1143872 .1952014 .3060323 .20 .21 .0215518 .0449282 . 0861500 , .1519383 . 2465665 , .3686177 .21 .22 .0323712 .0640173 .1166111 .1957191 .3029591 .4333184 .22 .23 .0469253 .0882470 .1530929 .2451928 .3630855, .4984058 .23 .24 .0658392 .1180113 .1954543 .2994938 .4254632 .5622300 .24 .25 .0896403 . 153^737 .2432393 • 3574865 - .4885347 .6233272 • 25 .26 .1187012 .1945296 .2956948 .4178478 .5507790 .6804964 .26 .27 .1531903 .2407922 .3518154 .4791619 .6108088 .7328433 .27 .28 .1930370 .2916028 .4104097 .5400173 .6674467 . 7797925 , .28 .29 .2379146 .3460648 .4701810 .5990959 .7197739 .8210721 .29 .30 .2872453 .4030981 .5298120 .6552460 .7671529 .8566783 .30 .31 . 3402255 - .4615072 .5880462 .7075346 .8092244 .8868273 .31 .32 .3958700 . 5200565 - .6437579 . 7552765 , .8458854 . 9119005 - .32 .33 .4530709 .5775443 .6960061 .7980421 .8772518 .9323901 .33 .34 .5106636 .6328700 .7440689 .8356444 .9036131 .9488494 .34 .35 .5674953 .6850887 .7874580 .8681126 .9253841 .9618509 .35 .36 .6224891 .7334487 .8259151 .8956540 .9430583 .9719523 .36 .37 .6746980 .7774124 .8593930 . 9186125 - .9571663 .9796734 .37 .38 .7233458 . 8 l 66 59 4 .8880258 .9374246 . 9682415 - .9854804 .38 .39 .7678522 . 8510750 , .9120917 .9525799 .9767934 .9897782 .39 . 4 o .8078420 .8807268 .9319739 .9645857 .9832898 .9929087 .4o .41 .8431400 .9058329 .9481219 .9739392 .9881443 .9951527 .41 .42 .8737529 .9267261 .9610167 .9811061 .9917136 .9967359 .42 .43 .8998433 .9438173 .9711412 .9865073 • 9942955 - .9978351 .43 ,44 . 9216965 , .9575612 .9789578 .9905108 .9961328 .9985860 .44 .45 .9396867 .9684262 . 9848915 , .9934291 .9974189 .9990908 .45 .46 .9542427 . 9768695 - .9893203 .9955212 .9983044 .9994246 .46 .47 .9658179 .9833191 .9925701 .9969958 .9989040 .9996417 .47 .48 .9748639 .9881614 . 99 49141 .9980176 .9993031 .9997806 .48 .49 .9818107 .9917542 .9965757 . 9987135 , .9995643 .9998679 .49 .50 .9870520 .9943242 .9977331 .9991793 .9997322 .9999218 .50 1 J 364 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-s q p n-46 r=10 n=4q r= 9 n»46 r= 8 n=46 r= 7 n-46 r= 6 n=46 r= 5 p .01 .0000000 .0000000 .0000000 .0000004 .0000066 .0000974 .01 .02 .0000000 .0000003 .0000034 .0000345, *0003017 .0022177 .02 .03 .0000009 .0000079 .0000617 .0004186 .0024378 .0119923 .03 .04 .0000114 .0000751 .0004376 .0022223 .0097178 .0360435, .04 .03 .0000756 .0003981 .0018495- .0075062 .0263148 .0786119 .05 .06 .0003336 .0014586 .0056330 .0190483 .0558284 .1401537 .06 .07 .0011092 .0041418 .0136844 .0396905- .1001547 .2177123 .07 .08 .0029961 .0097574 .0281730 .0716150- .1590419 .3061750- .08 .09 .0069031 .0199282 .0511201 .1158144 .2302874 .3996701 .09 .10 .0140266 .0363645- .0839795, .1718842 .3103340 .4926826 .10 .11 .0257426 .0605791 .1273351 .2381283 .3950014 .5807448 .11 .12 .0434334 .0936168 .1807774 .3118907 .4801529 .6607270 .12 .13 .0682845- .1358573 .2429617 .3899925, .5621882 .7308302 .13 .14 .1010947 .1869298 .3118102 .4691686 .6383288 .7903963 .14 • 15 .1421360 .2457436 .3847958 .5464292 .7067156 .8396360 .15 .16 .1910871 .3106188 .4592471 .6193083 .7663646 .8793468 .16 .17 .2470481 .3794821 .5326217 .6859923 .8170339 .9106620 •.17 • 18 .3086279 .4500883 .6027167 .7453437 .8590491 .9348528 .18 .19 .3740846 .5202343 .6678009 .7968470 .8931223 .9531861 .19 .20 . 4 :'l 4923 .5879355, .7266712 *8405056 .9201897 .9668340 .20 .21 .5089119 .6515533 .7786437 .8767158 .9412800 .9768240 .21 .22 .5745409 .7098647 .8234979 .9061402 .9574160 .9840203 .22 .23 .6368313 .7620811 .8613924 .9295929 .9695495- .9891252 .23 .24 .6945646 .8078239 .8927683 .9479460 .9785235, .9926937 .24 .25 .7458870 .8470706 . 9182536 .9620586 *98^0562 .9951527 .25 . 26 .7933062 .8800830 .9385783 .9727294 .9897392 .9968240 .26 .27 .8336599 .9073297 .9545043 .9806675, .9930466 .9979446 •27 .28 .8580643 .9294114 .9667732 .9864805, .9953488 .9986860 .28 .29 .8968516 .9469947 .9760703 .9906724 .9969287 .9991702 .29 .30 .9205066 .9607587 .9830033 .9936503 .9979978 .9994823 .30 • 31 .9396057 .9713555- .9880929 .9957348 .9987114 .9996810 .31 . 32 .9547644 .9793822 .9917721 .9971728 .9991812 .9998058 .32 .33 .9665962 .9853661 .9943919 .9981508 .9994864 .9998832 .33 .34 .9756808 .9897576 .9962295, .9988065, .9996820 .9999307 .34 • 35 .9825443 .9929310 .9974996 .9992400 . .9998056 .9999593 .35 .36 .9876478 .9951892 .9983645, .9995225- .9998827 .9999765- .36 .37 .9913832 .9967719 .9989450, .9997040 .9999302 .9999865, .37 .38 .9940747 .9978644 .9993289 .9998190 .9999590 .9999924 .38 .3-9 .9959840 .9986073 .9995791 .9998909 .9999762 .9999958 .39 .40 .9973174 .9991048 .9997398 .9999351 .9999864 .9999977 .40 .4l .9982344 .9994329 .9998414 •9999620 .9999923 .9999987 .41 .42 .9988551 .9996461 .9999048 .9999780 .9999958 .9999993 .42 .43 .9992688 .9997824 .9999437 .9999875, .9999977 .9999996 .43 .44 .9995401 .9998682 .9999672 .9999930 .9999987 .9999998 .44 .45 .9997152 .99^9215- .9999812 .9999961 .9999993 .9999999 .45 .46 .9998264 .9999539 .9999894 .9999979 .9999997 1.0000000 .46 .47 .9998959 .9999734 .9999941 •9999989 .9999998 1.0000000 .47 .48 .9999386 .9999849 .9999968 .9999994 .9999999 1.0000000 .48 .49 .9999644 .9999916 .9999983 .9999997 1.0000000 1.0000000 .49 • 50 .9999797 .9999954 .9999991 .9999998 1.0000000 1.0000000 • 50 365 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n=46 r- 4 n=46 r- 3 n=46 r- 2 n=46 r- 1 1 —1 II f- -=r " « a 11 n=47 r=40 p .01 .0011674 .0110207 .0775310 .3701764 .0000000 .0000000 .01 .02 .0133939 .0643367 .2345321 .6051797 .0000000 .0000000 .02 .03 .0487695- .1593860 .4032452 .7536799 .0000000 .0000000 .03 .04 .1112598 .2791846 .5539706 .8470756 .0000000 .0000000 .04 .03 .1969029 .4059753 .6768192 .9055318 .0000000 .0000000 .05 .06 . 2974271 .5266316 .7714637 .9419394 .0000000 .0000000 .06 .07 .4036452 .6334360 .8415907 .'9645010 .0000000 .0000000 .07 .08 .5076072 .7230928 .8920531 .'9784106 .0000000 .0000000 .08 .09 .6035567 .7953261 .9275307 .9869412 .Oooocoo .0000000 .09 .10 .6880561 .8516246 .'9519962 .9921448 .0000000 .0000000 .10 .11 •7596534 .8943076 .‘9685900 .9953017 .0000000 .0000000 .11 .12 .8183710 .9259111 .9796811 .9972062 .0000000 .0000000 .12 .13 .8651878 .9488308 .9869966 .9983485- .0000000 .0000000 .13 .14 .'9016020 .9651482 .9917633 .9990296 .0000000 .0000000 .14 .15 .9293046 .9765717 .9948340 .■999433^ .0000000 .0000000 .13 .16 .9499607 .9844’165, .9967909 .9996713 .0000000 .0000000 .16 .17 .9650816 .9897975, .9980252 .9998105, .0000000 .0000000 .17 .18 .9759632 .9933847 .9987959 .9998915- .0000000 .0000000 .'18 .19 .9836697 .9957586 .9992725, .9999383 .0000000 .0000000 .19 .20 .9890456 .9973104 .'9995644 .9999652 .0000000 .0000000 .20 .21 .9927423 .9983128 .9997416 .9999805- .0000000 .0000000 .21 .22 .9952493 .9989528 .9998481 .9999891 .0000000 .0000000 .22 .23 .9969271 .9993569 .9999115- .9999940 .0000000 .0000000 .23 .24 .9980356 .9996091 .9999489 .9999967 .0000000 .0000000 .24 .25 .9987586 .9997649 .9999708 .9999982 .0000000 .0000000 .25 .26 .9992245, .9998601 .9999834 .9999990 .0000000 .0000000 • 26 .27 .9995211 .9999176 .9999907 .9999995- .0000000 .0000000 .27 .28 .9997076 .9999520 .9999948 .9999997 .0000000 .0000000 .28 .29 .9998235, .9999723 .9999972 .9999999 .0000000 .0000000 .29 .30 .9998947 .9999842 .9999984 .9999999 .0000000 .0000000 .30 .31 .9999579 .9999911 .9999992 1.0000000 .0000000 .0000000 .31 .32 .9999638 .9999950, .9999996 1*0000000 .0000000 .0000000 .32 .33 •9999791 .9999973 .9999998 1.0000000 .0000000 .0000000 .33 .34 .9999881 .9999985, .9999999 1.0000000 .0000000 .0000000 .34 .35 .9999933 .9999992 .9999999 1.0000000 .0000000 .0000000 .35 • 36 .9999963 .9999996 1.0000000 1.0000000 .0000000 .0000000 .36 .37 .9999980 .9999998 1.0000000 1.0000000 .0000000 .0000000 .37 .38 .9999989 .9999999 1.0000000 1.0000000 .0000000 .0000000 .38 .39 .9999994 .9999999 1.0000000 1.0000000 .0000000 .0000000 .39 .40 .9999997 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .40 .41 .9999998 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .41 .42 .9999999 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .42 .43 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .43 .44 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .44 .45 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .45 .46 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .46 .47 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .47 .48 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .48 .49 1.0000000 1.0000000 1.0000000 1.0000000 .0000000 .0000003 .49 .50 1.0000000 1.0000000 1.0000000 1.0000000 .0000001 .0000005, .50 366 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V " 8 p n-47 r=59 n=47 r^8 n=^7 r=57 n=47 r=56 n=47 r=55 n=47 r=54 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 *0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .OOOOOO0 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 ,0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 17 .18 .0000000 .0000000 .0000000 ..ooooooo .0000000 .0000000 .'18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000600 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .25 .26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .27 .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 r Q • C.O .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 .30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 .31 .0000000 . 0000 O 00 .0000000 .0000000 .0000000 .0000000 .31 .32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .32 .33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .34 .35 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .35 • 36 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .36 .37 .0000000 .0000000 .0000000 .0000000 .0000002 .0000009 .37 .38 .0000000 .0000000 .0000000 .0000001 .0000004 .0000019 .38 .39 .0000000 .0000000 .0000000 .0000002 .0000009 .0000057 .39 .4o .0000000 .0000000 .0000001 .0000004 .0000017 .0000071 .40 .41 .0000000 .0000000 .0000002 .0000008 .0000054 .0000155- .41 .42 .0000000 .0000001 .0000005 .0000015, .0000064 .0000248 .42 .43 .0000000 .0000001 .0000006 .0000029 .0000120 .0000446 .43 .44 .0000000 .0000005 .0000015 .0000056 .0000221 .0000785 .44 .45 .0000001 .0000005, .0000024 .0000104 .0000596 .0001555, .45 .46 .0000002 .0000010 .0000046 .0000190 .0000695- .0002291 .46 .47 .0000004 .0000019 .0000086 .0000559 .0001196 .0005797 .47 .48 .0000008 .0000057 .0000157 .0000595, .0002020 .0006174 .48 .49 .0000015- .0000068 .0000281 .0001024 .0005546 .0009852 .49 .50 .0000028 .0000125- .0000492 .0001750 .0005445 .0015458 .50 567 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n-47 r=33 n=47 r=32 n=47 r=31 n=47 r-30 n-47 r=29 n=47 r=28 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 . OOOOOQO .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .'18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .25 .26 .0000000 .0000000 .0000000 .0000001 .0000003 .0000012 .26 .27 .0000000 .0000000 .0000000 .0000001 .0000007 .0000028 .27 .28 .0000000 .0000000 .0000001 .0000003 .0000015- .0000060 .28 .29 .0000000 .0000000 .0000002 .0000008 .0000032 .0000125- .29 .30 .0000000 .0000001 .0000004 .0000017 .0000068 .0000250- .30 .31 .0000000 .0000002 .0000009 .0000036 .0000138 .0000485- .31 .32 .0000001 .0000004 .0000019 .0000074 .0000271 .0000910 .32 • 33 .0000002 .0000009 .0000039 .0000147 .0000516 .0001656 .33 .34 .0000004 .0000019 .0000078 .0000284 .0000952 .0002929 .34 .35 .0000009 .0000040 .0000152 .0000532 .0001707 .0005039 .35 • 36 .0000019 .0000078 .0000288 .0000967 .0002980 .0008442 .36 .37 .0000039 .0000151 .0000532 .0001714 .0005070 .0013790 .37 .38 .0000076 .0000283 .0000957 .0002962 .0008414 .0021991 .38 .39 .0000145- .0000516 .0001679 .0004994 .0013635, .0034266 .39 .40 .0000269 .0000921 .0002877 .0008226 .0021600 .0052218 .40 .41 .0000487 .0001604 .0004817 .0013249 .0033473 .0077892 .41 .42 .0000863 .0002731 .0007890 .0020883 .0050786 .0113816 .42 .43 .0001494 .0004549 .0012651 .0032233 .0075496 .0163029 .43 .44 .0002532 .0007422 .0019869 .0048757 .0110034 .0229071 .44 .45 .0004204 .0011864 .0030589 .0072322 .0157334 .0315923 .45 .46 .0006842 .0018595, .0046189 .0105260 .0220831 .0427909 .46 .47 .0010920 .0028591 . 0068446 .0150398 .0304423 .0569526 .47 .48 .0017103 .0043150 .0099586 .0211076 .0412376 .0745227 .48 .49 .0026296 .0063952 .0142336 .0291105, .0549175, .0959148 .49 .50 .0039714 .0093119 .0199930 .0394703 .0719325, .1214801 .50 I-.-, — 368 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V " 8 p n=47 r=27 n=47 r=26 n=47 r=25 n=47 r=24 n=47 r=23 n=47 r=22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0600000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0600000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .15 .16 .0000000 .0000000 .0000000 .0000006 .0000002 .0000007 .16 .17 .0000000 .0000000 .0000000 .0000001 .0000005- .0000021 .17 .18 .0000000 .0000000 .0000001 .0000003 .0000013 .0000056 .'18 .19 .0000000 .0000000 .0000002 .0000008 .0000034 .0000138 .19 .20 .0000000 .0000001 .0000005- .0000021 .0000084 .0000320 .20 .21 .0000001 .0000003 .0000012 .0000051 .0000196 .0000698 .21 .22 .0000001 .0000007 .0000030 .0000118 .0000429 .0001445, .22 .23 .0000004 .0000017 .0000069 .0000259 .0000894 .0002851 .23 .24 .0000010 .00Q0040 .0000153 ..0000543 .0001779 .0005378 .24 .25 .0000022 .0000089 .0000324 .0001090 .0003389 .0009735- .25 .26 .0000050, .0000189 .0000655, .0002098 .0006204 .0016955, .26 .27 .0000108 .0000386 .0001274 .0003884 .0010940 .0028492 .27 .28 .0000222 .0000757 J0002385- .0006934 .0018631 .0046303 .2$ .29 .00004^10 .0001435- .0004311 .0011967 .0030709 .0072924 .29 .30 .000084^1 .0002626 .0007540 .0020003 .0049084 .0111512 .30 .31 .0001564 .0004654 .0012782 .0032446 .0076215, .0165842 .31 .32 .0002810 .0008001 .0021039 .0051153 .0115146 .0240252 .32 .33 .0004899 .0013365- .0033676 .0078502 .0169510 .0339504 .33 .34 .0008504 .0021719 .0052494 .0117428 .0243476 .0468583 .34 .35 .0013702 .0034387 .0079786 .0171431 .0341628 .0632423 .35 .36 .0022035, .0053106 .0118385, .0244529 .0468785, .0835569 .36 .37 .0034579 .0080088 .0171666 .0341155- .0629744 .1081816 .37 .38 .0053004 .0118063 ..0243511 .0465986 .0828973 .1373835, .38 .39 .0079441 .0170288 .0338218 .0623716 .1070266 .1712839 .39 .40 .0116517 .0240523 .0460351 .0818765, .1356388 .2098306 .40 .41 .0167380 .0332948 .0614524 •1054953 .1688742 .2527816 .41 .42 .0235673 .0452031 .0805136 .1335158 .2067094 .2997001 .42 .43 .0325474 .0602332 .1036056 .1660987 .2489383 .3499642 .43 .44 .0441172 .0788246 .1310292 .2032490 .2951652 .4027906 .44 .45 .0587287 .1013716 .1629668 .2447963 .3448100 .4572700 .45 .46 .0768236 .1281898 .1994527 .2903837 .3971288 .5124135- .46 .47 .0988049 .1594844 .2403514 .3394713 .4512449 .5672040 .47 .48 .1250051 .1953200 .28534^3 .3913512 .5061919 .6206499 .48 .49 .1556538 .2355961 .3339295, .4451763 .5609637 .6718361 .49 .50 .1908467 .2800323 .3854335- .5000000 .6145665, .7199677 .50 369 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r ,nv s n-s <1 p n=47 r=21 n=47 r=20 n=47 r=19 CO r-l II u ■=t II a n=47 r=17 n=47 r=l6 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .000000.0 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .08 .09 .0000000 .0000000 .0000000 .0000001 .0000003 .0000018 .09 .10 .0000000 .0000000 .0000000 .0000003 .0000014 .0000072 .10 .11 .0000000 .0000000 .0000002 .0000011 .0000053 .0000239 .11 .12 .0000000 .0000001 .0000008 .0000038 .0000169 .0000697 .12 .13 .0000001 .0000005, .0000026 .0000117 .0000480 .0001814 .13 .14 .0000004 .0000018 .0000079 .0000324 .0001230 .0004282 .14 .15 .0000012 .0000052 .0000215, .0000821 .0002882 .0009286 .15 .16 .0000033 .0000140 .0000540 .0001914 .0006242 .0018705- .16 .17 .0000089 .0000349 •.0001253 .0004144 .0012615- .0035294 .17 .18 .0000221 .0000807 .0002715- .0008407 .0023966 .0062836 .18 .19 .0000512 .0001753 .0005532 .0016086 .0043082 .0106195- .19 .20 .0001115, .0003590 .0010662 .0029194 .0073673 .0171238 .20 .21 .0002296 .0006972 .0019537 .0050505, .0120406 .0264609 .21 .22 .0004493 .0012899 .0034186 .0083633 .0188820 .0393333 .22 .23 .0008394 .0022827 .00573**2 .0133046 .0285113 .0564293 .23 .24 .0015023 .0038778 .0092509 .0203986 .0415792 .0783605, .24 .25 .0025843 .0063428 .0143967 .0302268 .0587210 .1055987 .25 .26 .0042847 .0100164 .0216688 .0433972 .0805026 .1384166 .26 .27 .0068647 .0153088 .0316161 .0605029 .1073636 .1768428 .27 .28 .0106513 .0226933 .0448112 .0820740 .1395650, .2206354 .28 .29 .0160378 .0326909 .0618134 .1085270 .1771478 .2692782 .29 .30 .0234765, .0458448 .0831252 .1401172 .2199059 .3220011 .30 .31 .033464*1 .0626870 .1091470 .1768990 .2673806 .3778228 .31 .32 .0465202 .0836994 .1401322 .2187002 .3188744 .4356097 .32 .33 .0631544 .1092711 .1761504 .2651131 .3734858 .4941471 .33 .34 .O83833O .1396575- .2170612 .3155036 .4301601 .5522138 .34 .35 .1089386 .1749443 .2625029 .3690398 .4877523 .6086530 .35 .36 .1387311 .2150215 .3118981 .4247352 .5450948 .6624346 .36 .37 .1733137 .2595697 .3644757 .4815050- .6010647 .7127023 .37 .38 .2126054 .3080623 .4193092 .5382283 .6546438 .7588050- .38 .39 .2563266 .3597831 .4753664 .5938111 .7049670 .8003091 .39 .40 .3039973 .•4138583 • 5315666 .6472454 .7513563 .8369959 .40 .4l .3549503 .4693018 .5868407 .6976575- .7933383 .8688441 .41 .42 .4083596 .5250679 .6401883 .7443449 .8306461 .8960017 .42 .43 .4632795, .5801084 .6907272 .7867978 .8632075- .9187521 .43 .44 .5186949 .6334284 .7377316 .8247055- .8911219 .9374770 .44 .45 .5735747 .6841360 .7806577 .8579491 .9146294 .9526195- .45 .46 .6269270 .7314828 .8191539 .8865830 .9340766 .9646510 .46 .47 .6778491 .7748924 .8530580 .9108077 .9498809 .9740435- .47 .48 .7255697 .813974*] .8823828 .9309370 .9624972 .9»12*]67 .48 .49 .7694804 .8485258 .9072913 .9473644 .9723896 .9866732 .49 .50 .8091533 .8785199 .9280675- .9605297 .9800070 .9906881 .50 370 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p [| n=47 r=15 n=47 r=l4 n=47 r=13 n=47 r-12 n =47 r-11 n=47 r=10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000011 .03 .04 .0000000 .0000000 .0000000 .0000002 .0000019 .0000139 .04 .05 .0000000 .0000000 .0000003 .0000025- .0000159 .0000917 • 05 .06 .0000001 .0000004 .0000026 .0000157 .0000838 .0004011 .06 .07 .0000004 .0000025, .0000141 .0000711 .0003237 .0013215- .07 .08 .0000022 .0000118 .0000572 .0002512 .0009948 .0035370 .08 .09 .0000094 .0000442 ,0001890 .0007328 .0025657 .0080753 .09 .10 .0000330 .0001385, .0005298 .0018377 .QO 57615, .0162604 .10 .11 .0000993 .0003766 .0013004 .0040767 .01156^2 .0295746 .11 .12 .0002634 .0009091 .0028589 .0081698 .0211520 .0494554 .12 .13 .0006279 .0019859 .0057282 .0150306 .0357819 .0770689 .13 .14 .0013655- .0039825, .0106022 .0257058 .0566322 .1131116 .14 .15 .0027432 .0074171 .0183227 .0412766 .0846338 .1576772 .15 .16 .0051419 .0129486 .0298250- .0627338 .1203243 .2102122 .16 .17 .0090658 .0213525, .0460535- .0908473 .1637471 .2695618 • 17 .18 .0151374 .0334709 .0678612 .1260518 .2144153 .3340908 .18 .19 .0240725, .0501419 .0959044 .1683675- .2713413 .4018530 .19 .20 .0366369 .0721152 .1305501 .2173676 .3331243 .4707810 .20 .21 .0535848 .0999656 .1718102 .2721973 .3980794 .5388666 .21 .22 .0755880 .1340149 .2193119 .3316382 .4643874 .6043122 .22 .23 .1031615, .1742759 .2723082 .3942092 .5302437 .6656387 .23 .24 .1365976 .2204237 .3297264 .4582872 .5939903 .7217468 .24 .25 .1759151 .2718011 .3902486 .5222328 .6542171 .7719329 .25 .26 .2208325, .3274546 .4524099 .5845055- .7098269 .8l58682 .26 .27 .2707685- .3861990 .5147066 .6437581 .7600638 .8535508 .27 .28 .3248687 .4466999 .5756975, .6989035- .8045086 .8852415- . 28 .29 .3820585- .5075664 .6340926 .7491504 .8430481 .9113931 .29 .30 .4411123 .5674422 .6888181 .7940105- .8758268 .9325823 .30 .31 .5007343 .6250876 .7390584 .8332813 .9031886 .9494'481 .31 .32 .5596409 .6794438 .7842714 .8670102 .9256170 .9626421 .32 .33 .6166367 .7296780 .8241813 .8954475- .9436781 .9727903 .33 .34 .6706776 .7752046 .8587538 .9189935- .9579721 .9804669 .34 .35 .7209180 .8156871 .8881576 .9581475- .9690936 .9861797 .35 .36 .7667366 .8510211 .9127196 .9554601 .9776027 .9903627 .36 .37 .8077452 .8813042 .9328774 .9654959 .9840060 .9933770 .37 .38 .8437786 .9067974 .9491350, .9747925 .9887462 •9955148 .38 .39 .8748715, .9278821 .9620232 .9816575- .9921985- .9970071 .39 .40 .9012257 .9450187 .9720673 .9871572 .9946722 .9980324 .40 .41 .9231714 .9587070 .9797633 .9910177 .9964162 .9987258 .41 .42 .9411281 .9694543 .9855613 .9958230 .9976260 .9991873 .42 .43 .9555666 •9777486 .9898562 .9958175, .9984516 .9994896 .43 .44 .9669757 .9840411 .9929844 ,9972122 .9990058 .9996845- .44 .45 .9758356 .9887334 .9952245, .9981713 .9993718 .9998080 .45 .46 .9825969 .9921727 .9968015- .9988197 .9996095- .9998851 .46 .47 .9876671 .9946502 .9978926 .9992507 .9997612 .9999323 .47 .48 .9914027 .9964038 ..9986346 .9995523 .9998564 .9999608 .48 .49 19941065, .9976232 .9991304 .9997130 .9999152 .9999777 .49 .50 .9960286 .9984562 .9994557 .9998270 .9999508 .9999875, .50 371 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V‘ s p n=47 r= 9 n=47 r= 8 n=47 r = 7 n r47 r= 6 n=47 r- 5 n=47 r- 4 p .01 .0000000 .0000000 .0000004 .0000076 .0001081 .0012659 .01 .02 .0000004 .0000040 .0000399 .0003401 .0024412 .0144127 .02 .03 .0000095, .0000724 .0004792 .0027245- .0130956 .0520880 .03 .04 .0000896 .0005090 .0025221 .0107708 .0390522 .1179768 .04 .05 .0004707 .0021323 .0084466 .0289296 .0845264 .2073565- .05 .06 .0017090 .0064379 .0212551 .0608880 .1495901 .3111793 .06 .07 .0048098 .0155048 .0439230 .1083837 .2307276 .4197305, .07 .08 .0112306 .0316484 .0786091 .1708125, .3222895, .5248460 .08 .09 .0227355, .0569426 .1261170 .2455318 .4180199 .6208160 .09 .10 .0411260 .0927700 .1857292 .3285689 .5122200 .7044130 .10 .11 .0679223 .1395224 .2553844 .4154332 .6004247 .7744653 .11 .12 . 1040760 .1965110 .3320822 .5018218 .6796442 .8312758 .12 .13 .1497809 .2620757 .4123780 .5841117 .7482967 .8760614 .13 .14 .2044130 .3338403 .4928510 .6596183 .8059651 .9104985- .14 .15 .2666014 .4090408 .5704721 .7266536 .8530863 .9363946 .15 .16 .5343995 .4848569 .6428373 .784''417 .8906450, .9554784 • 16 .17 .4055158 .5586947 .7082694 .8329507 .9199133 .9692833 .17 .18 .4775614 .6283895, .7658107 .8726938 .9422526 .9790991 .18 .19 .5482719 .6923197 .8151393 .9045344 .9589780 .9859666 .19 .20 .6156827 .7494381 .8564424 .9295186 .9712764 .9906986 .20 .21 .6782423 .7992388 .8902743 .9487442 .9801669 •9939121 .21 .22 .7348640 .8416792 .9174209 .9632689 .9864907 .9960641 .22 .23 .7849227 .8770786 .9387829 .9740519 .9909197 .9974860 .23 .24 .8282105, .9060110 .9552846 .9819244 .9939757 .9984132 .24 .25 .8648663 .9292049 .9678080 .9875804 .9960542 .9990102 .25 .26 .8952918 .9474576 .9771519 .9915813 .9974482 .9993898 .26 .27 .9200669 .9615684 .9840099 .9943691 .9983703 .9996282 • 27 .28 .9398727 .9722913 .9889637 .9962832 .9989721 •9997760 .28 .29 .9554266 .9803049 .9924868 .9975787 .9993597 .9998667 | .29 .30 .9674321 .9861974 .9949546 .9984432 .9996060 .9999216 .30 .31 .9765441 .9904619 .9966575, .9990120 .9997606 .9999544 .31 .32 .9833470 .9935004 .9978155, .9993811 .9998564 .9999738 .32 .33 .9883446 .9956323 .9985916 .9996174 .99991^9 .9999851 .33 .34 .9919581 .9971057 .9991042 .9997665, .9999502 .9999917 .34 .35 '.9945300 .9981087 .9994379 .9998594 .9999712 .9999954 .35 • 36 .9963323 .9987814 .9996522 .9999165- .9999836 •9999975- .36 .37 :9975759 .9992258 .9997877 .9999510 .9999908 .9999986 .37 .38 .9984209 .9995152 .9998722 .9999717 .9999949 •9999993 .38 .39 .9989863 .9997007 .9999242 .9999839 .9999972 .9999996 .39 .40 .9993588 .9998179 .9999556 .9999909 .9999985- •9999998 .40 .41 .9996004 .9998908 .9999744 .9999950- .9999992 •9999999 .41 .42 .9997547 .9999355, .9999855- ,9999973 •9999996 .9999999 .42 .43 .9998517 .9999625, .9999919 .9999985, .9999998 1.0000000 .43 .44 .9999118 .9999785, .9999955, .9999992 .9999999 1.0000000 .44 .45 .9999483 .9999879 .9999976 .9999996 .9999999 1.0000000 .45 .46 .9999702 .9999933 .9999987 .9999998 1.0000000 1.0000000 .46 .47 .9999831 .9999963 .9999993 .9999999 1.0000000 1.0000000 .47 .48 •9999906 .9999980 .9999996 .9999999 1.0000000 1.0000000 .48 .49 .9999949 .9999990 .9999998 1.0000000 1.0000000 1.0000000 .49 • 50 .9999972 .9999995- .9999999 1.0000000 1.0000000 1.0000000 .50 372 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s*r n-s q p n=47 r= 5 n=47 r= 2 n=47 r= 1 n-48 r-42 n=48 r-4l 0 II 00 -=r n m 1 c p .01 .OII6858 .0804575- .3764746 .0000000 .0000000 .0000000 .01 .02 .0677406 .2419450, .6130761 .0000000 .0000000 .0000000 . 02 .03 .I667018 .4137583 .7610695, .0000000 .0000000 .0000000 .03 .04 .2901760 .5656948 .8531926 .0000000 .0000000 .0000000 .04 .05 •4195175- .6882548 .9102552 .0000000 .0000000 .0000000 .05 .06 .5413215, .7816923 .9454231 .0000000 .0000000 .0000000 .06 .07 .6480068 .8501944 .9669860 .0000000 .0000000 .0000000 • 07 .08 .7366096 .8989617 .9801378 .0000000 .0000000 .0000000 .08 .09 .8072245, .9328776 .9881165- .0000000 .0000000 .0000000 .09 .10 .8616618 .9560111 .9929303 .0000000 .0000000 .0000000 .10 .11 .9024787 .9715283 .9958185, .0000000 .0000000 .0000000 .11 .12 .9323635- .9817841 .9975414 .0000000 .0000000 .0000000 .12 .13 .9537924 .9884723 .9985632 .0000000 .0000000 .0000000 .13 .14 .9688743 .9927806 .9991655- .0000000 .0000000 .0000000 .14 .13 .9793111 .9955239 .9995184 .0000000 .0000000 .0000000 .15 .16 .9864216 .9972518 .9997239 .0000000 .0000000 .0000000 .16 .17 .9911962 .9983287 .9998427 .0000000 .0000000 .0000000 .17 .18 .9943587 .9989931 .9999110 .0000000 .0000000 .0000000 .18 .19 .9964263 .9993990 .9999500, .0000000 .0000000 .0000000 .'19 .20 .9977612 .9996446 .9999721 .0000000 .0000000 .0000000 .20 .21 .9986128 .9997917 •9999846 .0000000 .0000000 .0000000 .21 .22 .9991498 .9998791 .9999915, .0000000 .0000000 .0000000 .22 .23 .9994844 .9999305- .9999954 .0000000 .0000000 .0000000 .23 .24 .9996907 •9999604 .9999975- .0000000 .0000000 .0000000 .24 .23 .9998164 .9999776 .9999987 .0000000 .0000000 .0000000 .25 .26 .9998922 .9999875- .9999993 .0000000 .0000000 .0000000 .26 .27 .9999373 .9999931 .9999996 .0000000 .0000000 .0000000 .27 .28 .9999640 .9999962 .9999998 .0000000 .0000000 .0000000 .28 .29 .9999795, .9999979 .9999999 .0000000 .0000000 .0000000 .29 .30 .9999885- .9999989 .9999999 .0000000 .0000000 .0000000 .30 .31 .9999936 .9999994 1 .0000000 .0000000 .0000000 .0000000 .31 .32 .9999965- .9999997 1 .0000000 .0000000 .0000000 .0000000 .32 • 33 .9999981 .9999998 1 .0000000 .0000000 .0000000 .0000000 .33 .34 .9999990 .9999999 1 .0000000 .0000000 .0000000 .0000000 .34 .35 •9999995- 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .35 .36 •9999997 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .36 .37 .9999999 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .37 .38 •9999999 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .38 .39 1 ,0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .39 .40 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .40 .41 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .41 .42 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .42 .43 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .43 .44 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000000 .44 .45 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000001 .45 .46 1 .0000000 1 .OOOO0OO 1 .0000000 .0000000 .0000000 .0000001 .46 .47 1 .0000000 1.0000000 1 .0000000 .0000000 .0000000 .0000002 .47 .48 1 .0000000 1.0000000 1 .0000000 .0000000 .0000001 .0000004 .48 .49 1 .0000000 1.0000000 1 .0000000 .0000000 .0000002 .0000009 .49 .50 1 .0000000 1.0000000 1 .0000000 .0000001 .0000003 .0000017 .50 373 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V ‘ 8 p n=48 r-39 CO K\ II h 00 ■=t II a n=48 r=37 n=48 r=36 n=48 r=35 n=48 r=3! p .01 .0000000 .0000000 .ooooooo .ooooooo •OOOOOOO .ooooooo .01 .02 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo • 02 .03 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .03 .04 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .04 .03 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .05 .06 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .06 .07 .0000000 .0000000 .ooooooo .ooooooo •OOOOOOO .ooooooo .07 .08 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .08 .09 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .09 .10 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .10 .11 .0000000 .0000000 .ooooooo .ooooooo .ooooooo ,0000000 .11 .12 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .12 .13 .0000000 .0000000 .ooooooo .ooooooo ..ooooooo .ooooooo .13 .14 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .14 .15 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .15 .16 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .16 .17 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .17 .18 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .‘18 .19 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .19 .20 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .20 .21 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .21 .22 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .22 .23 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .23 .24 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .24 .25 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .25 .26 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .26 .27 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .27 .28 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .ooooooo .28 .29 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .29 .30 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .30 .31 .0000000 .0Q00000 .ooooooo .ooooooo .ooooooo .ooooooo .31 .32 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .ooooooo .32 .33 .0000000 .0000000 .ooooooo .ooooooo .ooooooo .0000001 .33 .34 .0000000 .ooooooo .ooooooo .00.00000 .ooooooo .0000002 .34 .35 .0000000 .0000000 .ooooooo .ooooooo .0000001 .0000005- .35 • 36 .0000000 .ooooooo .ooooooo .ooooooo .0000002 .0000010 .36 .37 .0000000 .ooooooo .ooooooo .0000001 .0000005- .0000020 .37 .38 .0000000 .ooooooo .ooooooo .0000002 .0000010 .0000041 .38 .39 .0000000 .ooooooo .0000001 .0000004 .0000020 .0000079 .39 .40- .0000000 .ooooooo .0000002 .0000009 .0000039 .0000150, .40 .41 .0000000 .0000001 .0000004 .0000018 .0000075“ . 0000^79 .41 .42 .0-000000 .0000002 .0000008 .0000036 .0000141 .0000506 .42 .43 .0000001 .0000003 .0000016 .0000069 .0000260 .0000897 .43 .44 .0000001 .0000007 .0000032 .0000128 .0000169 .0001554 .44 .45 .0000003 .0000014 .0000060 .0000235, .0000828 .0002637 .45 .46 .0000006 .ooboo 2 ? .0000112 .0000422 .0001429 .0004385- .46 .47 .0000011 .0000051 .0000205, .0000742 .0002119 .0007145- .47 .48 .0000022 .0000095- .0000367 .0001279 .0004013 .0011419 .48 .49 .0000041 .0000172 •0000645, .0002162 .0006534 .0017910 .49 .50 .0000076 .0000308 .0001111 .0003586 .0010411 .0027576 .50 374 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p II n=48 r=33 n=48 r=32 n=48 r=31 n=48 r=30 11=48 r=29 n=48 r=28 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .000000-0 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .-000000Q .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 .16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .oonoooo .0000000 .0000000 .0000000 .0000000 .0000000 • 17 .18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 .21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .24 .25 .0000000 .0000000 .0000000 .0000000 .0000002 .0000009 .25 .26 .0000000 .0000000 .0000000 .0000001 .0000005, .0000022 .26 .27 .0000000 .0000000 .0000001 .0000003 .0000012 .0000049 .27 .28 .0000000 .0000000 .0000001 .0000007 .0000027 .0000105, .28 .29 .0000000 .0000001 .0000003 .0000015- .0000059 .0000216 .29 .30 .0000000 .0000002 .0000008 .0000032 .0000123 .0000428 .30 .31 .0000001 .0000004 .0000017 .0000068 .0000246 .0000819 .31 .32 .0000002 .0000009 .0000036 .0000137 .0000476 .0001518 .32 .33 .0000004 .0000019 .0000075- .0000269 .0000892 .0002727 .33 .34 .0000010 .0000039 .0000148 .0000511 ..0001624 .0004757 .34 .35 .0000020 .0000079 .0000285- .0000943 .0002873 .0008071 .35 .36 .0000041 .0000154 .0000532 .0001692 .0004946 .0013335, .36 .37 .0000080 .0000292 .0000969 .0002956 .0008296 .0021482 .37 .38 .0000155- .0000539 .0001718 .0005033 .0013573 .0033776 .38 .39 .0000290 .0000970 .0002972 .0008364 .0021681 .0051884 .39 .40 .0000530 .0001703 .0005016 .0013575, .0033847 .00779>8 .40 .41 .0000945- .0002921 .0008274 .0021541 .0051684 .0114582 .41 .42 .0001647 .0004898 .0013347 .0033442 .0077258 .0164996 .42 .43 .0002808 .0008033 .0021071 .0050836 .0113135, .0232880 .43 .44 .0004684 .0012899 .0032580 .0075719 .0162410 .0322395 .44 .45 .0007651 .0020291 . .0049369 .0110578 .0228699 .0438037 .45 .46 .0012248 .0031288 .0073362 .0158423 .0316087 .0584460 .46 .47 .0019226 .0047323 .0106963 .0222790 .0429022 .0766232 .47 .48 .0029605, .0070239 .0153101 .0307700 .0572144 .0987543 .48 .49 .0044747 .0102360 .0215233 .0417559 .0750062 .1251869 .49 .50 .0066416 .0146525 .0297317 .0557014 .0967063 .1561634 .50 832939 0 - 50 - 25 375 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V 8 p n =48 r =27 VO C\J II CO ■=3- ll a n =48 r -25 n=*l8 r =24 n =48 r-23 n -48 r=22 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 ,0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 ,0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000004 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000002 .0000012 .16 .17 .0000000 .0000000 .0000000 .0000002 .0000007 .0000033 .17 .18 .0000000 .0000000 .0000001 .0000005- .0000021 .0000086 .‘18 .19 .0000000 .0000001 .0000003 .0000013 .0000054 .0000209 .19 .20 .0000000 .0000002 .0000008 .0000033 .0000131 .0000479 .20 .21 .0000001 .0000005- .0000020 .0000081 .0000301 .0001033 .21 .22 .0000003 .0000012 .0000049 .0000186 .0000653 .0002116 .22 .23 .0000007 .0000029 .0000113 . 0000405 , .0001344 .0004126 .23 .24 .0000017 .0000067 .0000247 .0000840 .0002643 .0007693 .24 .25 .0000039 .0000147 .0000515, .0001665- .0004976 .0013762 .25 .26 .0000086 .0000310 .0001030 .0003165, .0008999 .0023687 • 26 .27 .0000183 .0000625, .0001978 .0005789 .0015679 .0039334 .27 .28 .0000372 .0001213 .0003659 .0010209 .0026379 .0063162 .28 .29 .0000729 .0002269 .0006531 .0017402 .0042951 .0098286 .29 .30 .0001379 .0004100 .0011279 .0028728 .0067812 .0148488 .30 .31 .0002522 .0007174 .0018878 . 0046015 - .0104000 .0218171 .31 .32 .0004471 . 001217*1 .0030676 .0071631 .0155180 .0312236 .32 .33 .0007693 .0020068 .0048469 .0108535- .0225608 .0435877 .33 .34 .0012865, .0032182 .0074571 .0160284 .0320012 .0594297 .34 .35 .0020942 .0050277 .0111862 .0231000 .04*13406 .0792360 .35 • 36 .0033220 .0076606 .0163797 .0325261 .0600827 .1034196 .36 .37 .0051417 .0113972 .0234377 .0447933 .0797011 .1322804 .37 .38 .0077727 .0165733 .0328051 .0603921 .1036021 .1659678 .38 .39 .0114872 .0235781 . 04*19562 .0797871 .1320869 .204*1505, .39 .40 .0166120 .0328454 .0603716 .1033814 . 1653155 , .2474973 .40 .41 .0235263 .0448394 .0795100 .1314807 .2032763 .2946708 .41 .42 .0326543 .0600335, .1027745, .1642571 . 2457655 , . 3*153371 .42 .43 .0444523 .0788873 .1304776 .2017197 .2923795- .3986898 .43 .44 .0593885- .1017947 .1628059 .2436921 .3*125203 .4537885- .44 .45 .0779180 .1290894 .1997901 .2898025- . .3954170 .5096071 .45 .46 .1004521 .1609708 .2412810 .3394865- .*1501597 .5650897 .46 .47 .1277243 .1974919 .2869377 .39200*19 .5057456 .6192072 .47 .48 .1587563 .2385316 .3362276 . 4*164747 .5611318 .6710114 .48 .49 .1948255, .2837795- .3884404 .5019121 .6152912 .7196818 .49 • 50 .2354395, .3327329 .4427167 .5572833 .6672671 .7645605- .50 376 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n z s-r 8 q n-s p n=48 r=21 11=48 r=20 n-48 r=19 n-48 r-18 n=48 r=17 n=48 r=16 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 • 07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005, .08 .09 .0000000 .0000000 .0000000 .0000001 .0000005- .00000259 • 09 .10 .0000000 .0000000 .0000001 .0000004 .0000020 .0000097 .10 .11 .0000000 .0000001 .0000003 .0000015, .0000073 .0000322 .11 .12 .0000000 .0000002 .0000011 .0000053 .0000232 .0000930 .12 .13 .0000002 .0000008 .0000038 .0000164 ..0000653 .0002395- .13 .14 .0000006 .0000026 .0000113 .0000451 .0001657 .0005594 .14 .15 .0000018 .0000076 .0000306 .0001130 .0003843 .0012008 .15 .16 .0000051 .0000204 .0000759 .0002606 .0008236 .0023939 .16 .17 .0000133 .0000502 .0001744 .0005584 .0016470 .0044706 .17 .18 .0000327 .0001151 .0003739 .0011208 .0030963 .0078773 .'18 .19 .0000748 .0002471 .0007537 .0021215, .0055073 .0131756 .19 .20 .0001610 .0005005- .0014368 .0038090 .0093186 .0210264 .20 .21 .0003278 .0009611 .0026040 .0065184 .0150688 .0321569 .21 .22 .0006343 .0017582 •0045064 .0106774 .0233813 .0473093 .22 .23 .0011714 .0030766 .0074754 .0168021 .0349324 .0671777 .23 .24 .0020724 .0051674 .0119264 .0254819 .0504067 .0923374 .24 .25 .0035239 .0083562 .0183542 .0373504 .0704404 .1231778 .25 .26 .0057750- .0130460 .0273182 .0530446 .0955602 .1598447 .26 .27 .0091446 .0197118 .0394156 .0731553 .1261230 .2022027 .27 .28 .0140231 .0288863 .0552448 .0981715- .1622647 .2498207 r Q • CL O .29 .0208672 .0411364 .0753603 .1284270 .2038656 .3019845- .29 .30 .0301870 .0570289 .1002228 .1640538 .2505345- .3577345- .30 .31 .0425234 .0770896 .1301501 .2049483 .3016177 .4159254 .31 .32 .0584175, .1017579 .1652739 .2507559 .3562297 .4752997 .32 .33 .0783729 .1313413 .2055081 .3008761 .4133040 .5345687 .33 .34 .1028133 .1659747 .2505316 .3544858 .4716584 .5924915- .34 .35 .1320406 .2055898 .2997908 .4.105891 .5300675, .6479457 .35 .36 .1661956 .2^98970 .3525194 .4680646 .5873371 .6999833 .36 .37 .2052284 .2983849 .4077765, .5257421 .6423706 .7478682 .37 .38 .2488790 .3503362 .4644984 .5824661 .6942250, .79109^0- .38 .39 .2966746 . *1048606 .5215598 .6371619 .7421504 .8293885- .39 .4o .3479417 .4609416 .5778381 .6888897 .7856122 .8626878 .40 .41 .4018344 .5174927 .6322756 .7368866 .8242957 .8911183 .41 .42 .4573771 .5734185- .6839341 .7805914 .8580954 .9149548 .42 .43 .5135159 .6276745- .7320375, . 8196540 .8870917 .9345823 .43 .44 .5691776 .6793218 .7760001 .8539287 .9115181 .9504564 .44 •45 .6233273 .7275708 .8154388 .8834552 .9317249 .9630667 .45 .46 .6750227 .•7718115, .8501713 .9084301 .9481409 .9729061 .46 .47 .7234595- .8116303 .8802004 .9291721 .9612373 .9804^66 .47 .48 .76800^0 .8468104 .9056888 .9460859 •9714970 .9861216 .48 .49 .8082127 .8773209 .9269271 .9596267 .9793886 .9903155, .49 .50 .8438366 .9032937 .9442986 .9702683 .9853475, .9933584 .50 577 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s i p n=48 r-15 n=48 r=14 n=48 r=13 n=48 r=12 n=48 r=ll n=48 r=10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000001 .0000014 .03 .04 .0000000 .0000000 .0000000 .0000003 .0000024 .0000169 .04 .05 .0000000 .0000001 .0000004 .0000031 .0000197 .0001106 .05 .06 .0000001 .0000005, .0000034 .0000198 .0001028 .0004795, .06 .07 .0000006 .0000033 .0000181 .0000888 .0003936 .0015656 • 07 .08 .0000030 .0000154 .0000727 .0003107 .0011982 .0041525, .08 .09 .0000125, .0000572 .0002379 .0008978 .0030615, .0093947 .09 .10 .0000435, .0001777 .0006606 .0022301 .0068114 .0187469 .10 .11 .0001298 .0004782 .0016058 .0049003 .0135453 .0337929 .11 .12 .0003409 .0011431 .0034962 .0097277 .0245484 .0550099 .12 .13 .0008044 .0024724 .0069375, .0177282 .0411492 .0865215, .13 .14 .0017318 .0049093 .0127167 .0300355- .0645393 .1258938 .14 .15 .0034443 .0090529 .0217658 .0477802 .0955903 .1740158 .13 .16 .0063910 .0156488 .0350904 .0719483 .1347064 .2300821 .16 .17 .0111546 .0255517 .0536684 .1032403 .1817356 .2926740 .17 .18 .0184374 .0396612 .0783355, .1419572 .2359569 .3599155, .'18 .19 .0290257 .0588367 .1096724 .1879325, .2961386 .4295726 .19 .20 .0437326 .0838022 .1479136 .2405190 .3506557 .4997613 .20 .21 .0633248 .1150529 .1928915, .2986325, .4276447 •5681355- .21 .22 .0884419 .1527802 .2440237 .3608430 .4951708 .6330336 .22 .23 .1195178 .1968233 .3003454 .4254971 .5615845, .6930740 .23 .24 .1567159 .2466564 .3605810 .4908560 .6246519 .7472981 .24 .25 .1998866 .3014130 .4232446 .5552289 .6836461 .7951662 .25 .26 .2485543 .3599430 .4867548 .6170891 .7373977 .8365183 .26 .27 .3019347 .4208960 .5495505- .6751606 .7853053 .8715101 .27 .28 .3589814 .4828192 .6101952 .7284729 .8271138 .9005382 .28 .29 .4184558 .5442590 .6674593 .7763807 .8628682 .9241528 .29 .30 .4790112 .6038550- .7203758 .8185554 .8928534 .9430372 .30 .31 .5392838 .6604185, .7682675, .8549526 .9175291 .9578479 .31 .32 • 5979779 .7129886 .8107478 .8857644 .9374650, .9692677 .32 .33 .6539403 .7608641 .8476991 .9113636 .9532851 .9779232 .33 .34 .7062168 .8036H3 .8792353 .9322462 .9656203 .9843739 .34 .35 .7540872 .8410518 .9056541 .9489786 •9750737 .9891023 .35 .36 .7970790 .8732326 .9273862 .9621514 .9821963 .9925118 .36 .37 .8349621 .9003863 .9449455, .9723434 .9874733 .9949306 .37 .38 .8677257 .9228857 .9588848 .9800948 .9913183 .9966191 .38 .39 .8955457 .9411971 .9697586 .9858905- .9940738 .9977790 .39 .40 .9187429 .9558381 .9780953 .9901512 .9960163 .9985629 .40 .41 .9377410 .9673401 .9843776 .9932311 .9973631 .9990844 .41 .42 .9530251 .9762192 .9890312 .9954202 .9982817 .9994256 .42 .9651049 .9829549 .9924196 .9969502 .9988979 •9996453 .43 .44 .9744845- .9879762 .9948447 .9980014 •9993044 .9997845- .44 •45 .9816396 .9916544 .9965506 .9987115, .9995681 .9998712 .45 .46 .9870018 .9943019 .9977299 .9991830 .9997362 •9999242 .46 .47 .9909491 .9961741 .9985309 .9994906 .9998416 •9999562 .47 .48 .9958032 •9974746 .9990655- .9996879 .9999065, •9999751 .48 .49 .9958297 .9983617 .9994159 .9998121 .9999458 .9999861 .49 .50 .9972424 .9989559 .9996414 .9998889 .9999692 .9999924 .50 378 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n Z ST S q Il-S p n=48 r- 9 n=48 r- 8 n=48 r- 7 n=48 r= 6 n=48 r = 5 n=48 r- 4 p .01 .0000000 .0000000 .0000005, .0000086 .0001197 .0013701 .01 .02 .0000004 .0000047 .0000459 .0003821 .0026806 .0154793 .02 .03 .0000114 .0000846 .0005465, .0030356 .0142654 .0555264 .03 .04 .0001064 .0005895, .0028521 '.0119021 .0422091 .1248648 .04 .03 .0005557 .0024480 .0094708 .0317095- .0906679 .2179645, .05 .06 .0019928 .0073270 .0236331 .0662101 .1592855- .32^9879 .06 .07 .0055585- .0174941 .0484352 .1169478 .2439578 .4357099 .07 .08 .0128641 .0354052 .0859854 .1829307 .3384941 .5417871 .08 .09 .0258142 .O63I683 .1368643 .2610558 .4362716 .6375928 .09 .10 .0462904 .1020659 .2000131 .3469340 •5314393 .7201378 .10 .11 .0757983 .1522672 .2729897 . 4337823 .6195692 .7885468 .11 .12 .1151682 .2127795, .3524510 .5231605- .6978400 .8434063 .12 • 13. .1643792 .2816150- .4347033 .6054557 .7649061 .8861664 .13 .14 .2225329 .3561018 .5161984 .6801068 .8205997 .9186711 .14 .15 .2879673 .4332555, .5938993 .7456185, .8655825, .9428321 .15 • 16 .3584726 .5101338 .6654940 .8014342 .9010184 .9604293 .16 .17 .4315562 .5841224 .7294652 .8477344 .9283062 .9730085, •.17 • 18 .5047105- .6531253 .7850496 .8852144 .9488850, .9818458 .18 • 19 .5756410 .7156554 .8321244 .9148787 .9641058 .9879539 .19 .20 . 642*037 .7708390 .8710577 .9378701 .9751608 .9921111 .20 .21 .7036516 .8183563 .9025530 .9553430 .9830534 •9948992 .21 .22 .7583634 .8583424 .9275074 .9683777 .9885988 .9967429 .22 • 23 .8061185, .8912706 .9468948 .9779315- .9924299 .9979456 .23 .24 .8468826 .9178366 .9616781 .9848167 .9950407 .9987198 .24 .25 .8809510 .9388557 .9727511 .9896988 .9967932 .9992118 .25 .26 .90885^9 .9551781 .9809036 .9931067 .9979530 .9995204 • 26 .27 .9312723 ..9676276 .9868069 .9954'194 .9987099 .9997116 • 2 Z .28 .9489499 .9769595, .9910131 .9970361 .9991972 .9998287 .28 .29 .9626413 .9838377 .9939634 .9980952 .9995067 .9998994 .29 .30 .9730617 .9888246 .9960011 .9987920 .9997007 .9999416 .30 • 3l .9808586 .9923825, .9973874 .9992441 .9998207 .9999665, .31 • 32 .9865961 .9948812 .9983165, .9995332 .9998939 .9999810 .32 • 33 .9907496 .9966089 .9989301 .9997155, .9999381 .9999894 .33 .34 .9937083 .9977852 .9993294 .9998190 .9999643 .9999941 .34 .35 .9957825, .9985739 .9995855- .9998985, .9999797 .9999968 .35 .36 .9972140 .9990949 .9997473 .9999406 .9999886 .9999983 .36 • 37 .9981864 '.9994337 .9998481 .9999657 .9999937 .9999991 .37 .38 .9988367 .9996508 .9999100 .9999805- .9999965, .9999995, .38 • 39 .9992649 .9997879 19999475- .9999891 .9999981 .9999998 .39 .40 •9995424 .9998730 ;9999598 .9999939 .9999990 •9999999 .40 .41 .9997195- .9999251 .9999829 •9999967 .9999995- .9999999 .41 .42 .9998307 .9999565, •9999904 .9999982 .9999997 1.0000000 .42 .43 .9998994 .9999751 .9999947 .9999991 .9999999 1.0000000 .43 .44 •9999411 .9999860 .9999971 .9999995, .9999999 1.0000000 .44 .45 .9999661 .9999923 .9999985- .9999998 1.0000000 1.0000000 .45 .46 .9999808 .9999958 .9999992 .9999999 1.0000000 1.0000000 .46 .47 .9999893 .9999977 .9999996 .9999999 1.0000000 1.0000000 .47 .48 .9999942 .9999988 .9999998 1.0000000 1.0000000 1.0000000 .48 .49 .9999969 .9999994 .9999999 1.0000000 1.0000000 1.0000000 .49 • 50 .9999983 .9999997 .9999999 1.0000000 1.0000000 1.0000000 .50 379 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r V s p n-48 r- 3 n=48 r- 2 n=48 r= 1 n=49 r-42 n=49 r =41 n=49 r=4o p .01 .0123736 .0834177 .3827099 .0000000 .0000000 .0000000 .01 .02 .0712247 .2493676 .6208146 .0000000 .0000000 .0000000 .02 .03 .1741135- .4241776 .7682375- .0000000 .0000000 .0000000 .03 .04 .3011968 .5771947 .85906.49 .0000000 .0000000 .0000000 .04 .05 .4329544 .6993548 .9147424 .0000000 .oooocoo .0000000 .05 .06 .5557438 .7915161 .9486977 .0000000 .0000000 .0000000 .06 .07 .6621599 .8583698 .9692969 .0000000 .0000000 .0000000 .07 .08 .7495978 .9054558 .9817268 .0000000 .0000000 .0000000 .08 .09 .8185333 .9378491 .9891860 .0000000 .0000000 .0000000 .09 .10 .8710967 .9597030 .9936373 .0000000 .0000000 .0000000 .10 .11 .9100742 .9742003 .9962785- .0000000 .0000000 .0000000 .11 .12 .9382939 .9836750- .9978364 .0000000 .0000000 .0000000 .12 .13 .9583008 .9897841 .9987500- .0000000 .0000000 .0000000 .13 .14 .9722212 .9936745- .9992823 .0000000 .0000000 .0000000 .14 .15 .9817430 .9961231 .9995906 .0000000 .0000000 .0000000 .15 .16 .9881545- .9976473 .9997680 .0000000 .0000000 .0000000 • 16 .17 .9924088 .9985861 .9998695- .0000000 .0000000 .0000000 .17 .18 .9951929 .9991583 .9999270 .0000000 .0000000 .0000000 .18 .19 .9969911 .9995037 .9999595, .0000000 .0000000 .0000000 .19 .20 .9981379 .9997101 .9999777 .0000000 .0000000 .0000000 .20 .21 .9988604 .9998322 .9999878 .0000000 .0000000 .0000000 .21 .22 .9993102 .9999038 .9999934 .0000600 .0000000 .0000000 .22 • 23 .9995870 .9999454 .9999964 .0000000 .0000000 .0000000 .23 .24 .9997554 .9999693 .9999981 .0000000 .0000000 .0000000 .24 .25 .9998567 .9999829 .9999990 .0000000 .0000000 .0000000 .25 • 26 .9999170 .9999906 .9999995- .0000000 .0000000 .0000000 .26 .27 .9999524 .9999948 .9999997 .0000000 .0000000 .0000000 •27 .28 .9999730 .9999972 .9999999 .0000000 .0000000 .0000000 . <18 .29 .9999849 .9999985, .9999999 .0000000 .0000000 .0000000 .29 .30 .9999916 .9999992 1.0000000 .0000000 .0000000 .0000000 .30 • 3i .9999954 .9999996 1.0000000 .0000000 .0000000 .0000000 .31 • 32 .9999975, .9999998 1.0000000 .0000000 .0000000 .0000000 .32 • 33 .9999987 .9999999 1.0000000 .0000000 .0000000 .0000000 .33 .34 .9999993 .9999999 1.0000000 .0000000 .0000000 .0000000 .34 . 35 .9999996 1.0000000 1.0000000 .0000000 .0000000 .0000000 .35 •36 .9999998 1.0000000 1.0000000 .0000000 .0000000 .0000000 .36 • 37 .9999999 1.0000000 1.0000000 .0000000 .0000000 .0000000 .37 .38 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .38 • 39 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .39 .40 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .40 .4l 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .41 .42 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .42 .43 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000000 .43 .44 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000001 .44 .45 1.0000000 1.0000000 1.0000000 .0000000 .0000000 .0000002 .45 .46 1.0000000 1.0000000 1.0000000 .0000000 .0000001 .0000003 • 46 .47 1.0000000 1.0000000 1.0000000 .OOOOCO0 .0000001 .0000006 j47 .48 1.0000000 1.0000000 1.0000000 .0000000 .0000003 .0000013 .48 • 49 1.0000000 1.0000000 1.0000000 .0000001 .0000005 .0000024 .49 • 50 1.0000000 1.0000000 1.0000000 .0000002 .0000010 .0000046 • 50 380 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r q “- 8 p n-49 r=39 n-49 r=38 n=49 r-37 n-49 r-36 n-49 r-35 n=49 r=34 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .05 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0006000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 . 18 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 .19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 • 2i .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .22 .23 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .24 .25 .0000000 .0000000 .0000000 * .0000000 .0000000 .0000000 .25 • 26 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .26 .27 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 2 Z .28 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .28 .29 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .29 • 30 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .30 . 3i .OQOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .31 . 32 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .32 . 33 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .33 .34 .0000000 .0000000 .0000000 .0000000 .0000001 .0000005- .34 • 35 .0000000 .0000000 .0000000 .0000000 .0000002 .0000010 .35 • 36 .0000000 .6000000 .0000000 .0000001 .0000005- .0000021 .36 • 37 .0000000 .0000000 .0000000 .0000002 .0000010 .0000042 .37 .38 .0000000 .0000000 .0000001 .0006005- .0000021 .0000084 .38 .39 .0000000 .0000000 .0000002 .0000010 .0000043 .0000161 .39 .4o .0000000 .0000001 .0000005- .0000021 .0000083 . OOOQ302 .40 .41 .0000000 .0000002 .0000010 .0000042 .0000159 .0000552 .41 .42 .0000001 .0000004 .0000020 .0000080 .0000294 .0000985, .42 .43 .0000002 .0000009 .0000039 .0000151 .0000534 .0001718 . 43 .44 .0000004 .0000018 .0000074 .0000278 .0000947 .0002931 .44 .45 .0000008 .0000035- .0000139 0000502 .0001642 .0004894 .45 .46 .0000015, .0000066 .0000255- .0000885, .0002789 .0008002 • 46 .47 .0000030 .0000123 .0000458 .0001530 .0004640 .0012823 .47 .48 .0000057 .0000226 .0000805- :ooo2'59i .0007568 .0020149 .48 .49 .0000105, .0000404 .0001388 .0004304 .0012108 .0031060 .49 • 50 .0000192 .0000:710 .0002349 .0007013 .0019008 .004699 6 • 50 381 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=49 r=33 n=49 r=32 n-49 r=31 n-49 r=30 n-49 r=29 n-49 r-28 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .ooooooc .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000006 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0006000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 • 13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .15 • 16 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 • 16 .17 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .17 . l8 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .18 • 19 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .19 .20 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .20 • 21 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .21 .22 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 .22 • 23 .0000000 .0000000 .0000000 .0000000 .0000001 .0000003 .23 .24 .0000000 .0000000 .0000000 .0000000 .0000002 .0000007 .24 • 25 .0000000 .0000000 .0000000 .0000001 .0000004 .0000017 .25 .26 .0000000 .0000000 .0000000 .0000002 .0000010 .0000039 • 26 .27 .0000000 .0000000 .0000001 .0000005, .0000022 .0000085, •27 • cO .0000000 .0000001 .0000003 .0000012 .0000049 .0000180 .28 .29 .0000000 .0000002 .0000007 .0000028 .0000105- .0000365- .29 • 30 .0000001 .0000004 .0000015, .0000059 .0000214 .0000713 .30 • 31 .0000002 .0000008 .0000033 .0000123 .0000423 .0001347 .31 • 32 .0000004 .0000018 .0000069 .0000245, .0000809 .0002463 .32 • 33 .0000009 .0000037 .0000139 .0000475“ .0001497 .0004366 .33 • 34 .0000020 .0000076 .0000271 .0000889 .0002689 .0007514 .34 • 33 .0000041 .0000151 .0000515, .0001618 .0004692 .0012576 .35 • 36 .0000081 .0000290 .0000950- .0002863 .0007966 .0020494 .36 *37 .0000159 .0000542 .0001704 .0004932 .0013175, .0032558 .37 • 38 .0000301 .0000987 .0002978 .0008278 .0021250, .0050477 .38 • 39 .0000555“ .0001750, .0005075- .0013558 .0033460 .00764^9 .39 • 40 ii -i .0000999 .0003028 .0008440 .0021684 .0051483 .0113211 .40 .41 .0001755, .0005116 .0013714 .0033900 .0077472 .0164061 .41 • 42 .0003012 .00084’.'6 .0021787 .0051845- .0114108 .0232846 .42 • 43 1.1. .0005055 .0013639 .0033870 .0077625- .0164626 .0323887 .43 .44 iic .0008298 .0021558 .0051561 .0113863 .0232804 .0441851 .44 • 45 .0013339 .0033376 .0076913 .0163732 .0322901 .0591531 .45 • 4o .0021007 .00506-42 .0112490 .0230948 .0439538 .0777688 .46 .47 .0032431 .0075354 .0161402 .0319719 .0587510 .1004527 .47 • *fo ll O .0049110 .0110013 .0227308 .0434633 .0771535, .1275552 .48 •49 C r\ .0072977 .0157667 .0314373 .0580486 .0995948 .1593099 .49 • 30 .0106471 .0221921 .0427166 .0762039 .1264349 .1958015- .50 ■ -33 382 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s n-8 q p n=49 r=27 n=49 r=26 n=49 r=25 n-49 r=24 n-49 r=23 n=49 r=22 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .07 .08 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .08 .09 .0000000 .0000000 .0000000 .0000000 .OOOOQ0O .0000000 .09 .10 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .10 .11 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .11 .12 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .12 .13 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .13 .14 .0000000 .0000000 .0000000 .0000000 .0000000 .0000002 .14 .15 .0000000 .0000000 .0000000 .0000000 .0000001 .0000006 .15 .16 .0000000 .0000000 .0000000 .0000001 . 000000.4 .0000018 .16 .17 .0000000 .0000000 .0000001 .0000003 .0000012 .0000050- .17 . iQ .0000000 .0000000 .0000002 .0000008 .0000032 .0000129 .18 .19 .0000000 .0000001 .0000005- .0000021 .0000083 .0000312 .19 .20 .0000001 .0000003 .0000013 .0000053 .0000201 .0000705- .20 • 21 .0000002 .0000008 .0000033 .0000127 .0000455- .0001505- .21 .22 .0000005- .0000020 .0000079 .0000289 .0000975- .0003046 .22 .23 .0000012 .00000^8 .0000180 .0000621 .0001984 .0005871 .23 .•24 .0000029 .0000110 . .0000389 .0001273 .0003855- .0010821 .24 .25 .0000066 .0000239 .0000803 .0002493 .0007172 .0019131 .25 .26 .000014^ .0000497 .0001585, .0004682 .0012818 .0032543 .26 .27 .0000302 .0000991 .0003007 .0008459 .0022066 .0053404 •27 .28 .0000607 .0001898 .0005493 .0014737 .0036678 •0084741 .28 .29 .0001175, .0003505- .0009684 .0024811 .0058998 .0130298 .29 .30 .0002195, .0006254 .0016514 .0040453 .0092015, .0194502 .30 • 3l .0003964 .0010802 .0027290 .0063990 .0139393 .0282360 .31 • 32 .0006936 .0018094 • .0043781 .0098367 .0205438 .0399257 .32 . 33 .0011777 .002941*0 .0068290 •0147169 .0294997 .0550668 .33 .34 .0019433 .0046595- .0103714 .0214592 .0413269 .0741801 .34 • 35 .0031209 .0071831 .0153560 .0305342 .0565540 .0977176 .35 • 36 .0048839 .0107995- .0221924 •0424465, .0756840 .1260190 • 36 • 37 .0074562 .0158522 .0313393 .0577092 .0991554 .1592712 .37 .38 .0111169 .0227414 .0432882 .0768119 .1273010 .1974741 .38 .39 .0162026 .0319155, .0585402 .1001840 .1603087 .2404179 .39 .40 .0231053 .0438559 .0775756 .1281551 .1981882 .2876750, .40 .4l .0322646 .0590544 .1008180 .1609169 .2407480 .3386079 .41 .42 .0441536 .0779847 .1285972 .1984906 .2875856 .3923939 .42 .43 .0592576 .1010688 .1611117 .2407034 .3380929 .4480650, .43 .44 .0780472 .1286396 .1983959 .2871765, .3914783 .5045597 .44 .45 I. /* .1009451 .1609047 .2402957 .3373290 .4468026 .5607812 .45 .46 .1282907 .1979135- .2864555, .3903962 .5030275, .6156589 .46 • 47 i. n .1603031 .2395314 .3363193 .4454630 .5590726 .6682057 .47 .48 .1970484 .2854257 .3891462 .5015101 .6138740 .7175679 .48 .49 .2384130 .3350633 . 4^0416 .5574679 .6664426 .7630619 .49 • 50 .2840862 .3877248 .5000000 .6122752 .7159138 .8041985, • 50 383 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q ii-s p n-49 r-21 n=49 r=20 n=49 r=19 n=49 r r l8 n=49 r=17 n-49 r =16 p .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .02 .03 .OQOOOOO .0000000 .0000000 .0000000 .0000000 .0000000 .03 .04 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .04 .03 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .05 .06 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .06 .07 .0000000 .0000000 .0000000 .0000000 .0000000 .0000001 •07 .08 .0000000 .0000000 .0000000 .0000000 .0000001 .0000007 .08 .09 .0000000 .0000000 .0000000 .0000001 .0000006 .0000034 .09 .10 .0000000 .0000000 .0000001 .0000005, .0000028 .0000131 .10 .11 .0000000 .0000001 .0000004 .0000022 .0000100 .0000429 .11 .12 .0000001 .0000003 .0000016 .0000075- .0000316 .0001227- .12 .13 .0000002 .0000012 .0000054 .0000227 .0000880 .0003129 .13 .14 .0000008 .0000038 .0000160 .0000620 .0002209 .0007235, .14 .15 .0000026 .0000111 .0000430 .0001537 .0005068 .0015373 .15 .16 •0000075, .0000293 .0001055- .0003507 .0010749 .0030334 .16 .17 .0000196 .0000713 .0002397 .0007435- .0021270 .0056069 .17 .18 .0000475, .0001617 .0005084 .0014764 .0039569 .0097781 .18 .19 .0001075, .0003434 .0010136 .0027648 .0069643 .0161871 .19 .20 .0002289 .0006877 .0019113 .0049109 .0116602 .0255677 .20 .21 .0004608 .0013061 .0034260 .0083140 .0186573 .0387022 .21 .22 .0008815, .0023628 .00586 l 4'0 .0.134722 .0286455- .0563585, .22 .23 .0016096 .0040883 .0096205, .0209721 .0423488 .0792159 .23 .24 .0028152 .0067895, .0151797 .0314639 .0604701 .1077882 .24 .25 .0047320 .0108557 .0231033 .0456229 .0836248 .1423550- .25 .26 .0076654 .0167568 .0340070 .0640987 .1122742 .1829092 .26 .27 .0119977 .0250318 .0485253 .0874565, .1466645, .2291304 .27 .28 .0181848 .0362667 .0672643 .1161176 .1867804 .2803857 .28 .29 .0267453 .0510614 .0907497 .1503042 .2323200 .3357611 .29 .30 .0382396 .0699871 .1193721 .1899980 .2826945- .3941175, .30 .31 .0532389 .0935384 .1533375, .2349158 .3370531 .4541665- .31 .32 .0722865- .1220830 .1926282 .2845075, .3943321 .5145567 .32 .33 .0958525- .1558163 .2369795, .3379773 .4533214 .5739613 .33 .34 .1242882 .1947241 .2858764 .3943251 .5127416 .6311581 .34 .35 .1577828 .2385602 .3385702 .5424066 .5713249 .6850952 .35 .36 .1963281 .2868411 .3941157 .5110027 .6278897 .7349378 .36 .37 .2396963 .3388598 .4514238 .5688946 .6814047 .7800929 .37 .38 .2874327 .3937178 .5093262 .6249345, .7310356 .8202147 .38 .39 .3388671 .4503733 ,5666446 .6781074 .7761733 .8551898 .39 .40 .3931416 .5077002 .6222588 .7275787 .8164424 .8851098 .40 .41 .4492543 .5645537 .6751661 .7727243 .8516929 .9102336 .41 .42 .5061144 .6198350, .7245302 .8131431 .8819763 .9309443 .42 .43' .5626041 .6725506 .7697126 .8486522 .9075127 .9477070 .43 .44 .6176411 .7218603 .8102887 .8792680 .9286510 .9610288 .44 .45 .6702368 .7671114 .8460462 .9051766 .9458287 .9714245, .45 .46 .7195456 .8078570 .8769703 .9266970 .9595329 .9793901 .46 .47 .7648997 .8438582 .9032171 .9442427 .9702657 .9853828 .47 .48 .8058311 .8750720 .9250794 .9582832 .9785168 .9898088 .48 .49 .8420757 .9016280 .9429499 .9693100 .9847428 .9930175- .49 .50 .8735651 .9237961 .9572834 .9778079 .9893529 .9953004 .50 384 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-a p n=49 r=15 n=49 r=l4 n-49 r-13 n=49 r-12 n-49 r-11 n-49 r-10 P .01 .0000000 .0000000 .0000000 .0000000 .0000000 .0000000 .01 .02 .0000000 .0000000 .0000006 .0000000 .0000000 .0000000 . 02 .03 .0000000 .0000000 .6000000 .0000000 .0000002 .0000017 .03 .04 .0000000 .0000000 •OOOOOCC .0000004 .0000030 .0000205, .04 .03 .0000000 .0000001 .0000006 .0000040 .0000242 .0001328 .05 .06 .0000001 .0000007 .0000044 .0000248 .0001254 .0005703 .06 .07 .0000008 .0000044 .0000230 .0001101 .0004756 .0018451 .07 .08 .0000040 .0000200 .0000918 .0003817 .0014345, .0048494 .08 .09 .0000165, .0000735- .0002973 .0010925- .0036315, .0108725- .09 .10 .0000569 .0002260 .0008176 .0026882 .0080050- .0215013 .10 .11 .0001681 .0006023 .0019682 .0058513 .0157726 .0384135'- .11 .12 .0004372 .0014255- .0042440 .0115062 .0283238 .0631089 .12 .13 .0010213 .0030529 .0083403 .0207730 .0470476 .0966430 .13 .14 .0021767 .0060023 .0151413 .0348660 .0731289 .1394233 .14 .13 .0042856 .0109599 .0256680 .0549517 .1073542 .1911085, .15 .16 .0078722 .0187595- .0409876 .0819896 .1499665- .2506246 .16 .17 .0136021 .0303315, .0620956 .1165845- .2005951 .3162840 • 17 .18 ,0222577 .0466225, .0897874 .1588772 .2582695- .3859786 .'18 .19 .0346898 .0684955, .1245418 .2084917 .3215100 .4574066 • 19 .20 .0517465- .0966245- .1664347 .2645463 .3847680 .5282958 .20 .21 .0741877 .1313990 .2150971 .3257251 .4571478 .5965939 .21 .22 .1025963 .1728538 .2697239 •3903951 .5255006 . 66060 61 .22 .23 .1372981 .2206334 .3291303 .4567512 .5916731 .7190743 .23 .24 .1783016 .2739983 .3918470 .5229670 .6540870 .7711984 .24 .25 .2252682 .3318709 .4562407 .5873332 .7115261 .8166124 .25 .26 .2775153 .3929140 .5206417 .6483693 .7631690 .8553258 .26 .27 .3340542 .4556327 .5834652 .7048997 .8085806 .8876459 .27 .28 .3936560 .'5184845- .6433130 .7560924 .8476726 .9140935- .28 .29 .4549387 .5799871 .6990465, .8014621 .8806436 .9353216 .29 .30 .5164644 .6388112 .7498297 .8408448 .9079086 .9520446 .30 .31 .5768356 .6938517 .7951399 .8743513 .9300279 .9649812 .31 .32 .634-7813 .7442716 .8347531 .9023086 .9476419 .9748128 .32 .33 .6892251 .7895196 .8687084 .9251977 .9614157 .9821559 .33 .34 .7393309 .8293235- .8972590 .9435934 .9719965, .9875476 .34 .35 .7845248 .8636626 .9208177 .9581119 .9799837 .9914404 .35 .36 .8244943 .8927279 .9399017 .9693676 .9859099 .9942046 .36 .37 .8591690 .9168732 .9550827 .9779415- .9902325- .9961353 .37 .38 .8886865, .9365653 .9669446 .9843597 .9933326 .9974618 .38 .39 .9133497 .9523361 .9760500, .9890820 .9955188 .9983585- .39 .40 .9335810 .9647410 .9829176 .9924972 .9970349 .9989547 .40 .41 .9498766 .9743255- .9880075, .9949252 .9980688 .99934^8 .41 .42 .9627666 .9816002 .9917146 .9966221 .9987622 •9995957 .42 .43 .9727804 .9870247 .9943677 .9977877 .9992193 .9997546 .43 .44 .9804208 .9909983 .9962336 .9985747 .9995156 .9998534 .44 .45 .9861463 .9938577 .9975230 •9990970 .9997045- .9999139 .45 .46 .9903599 .9958788 .9983983 .9994375- .9998227 .99995O3 .46 .47 .9934049 .9972818 .9989820 .9996556 .9998955- .9999718 .47 .48 •9955655- .9982382 •9993642 •9997928 .9999395- •9999843 .48 .49 •9970704 .9988783 .9996100 .9998776 .9999656 .5999914 .49 .50 .9980992 .9992987 .9997651 .9999290 .9999868 .9999954 .50 385 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n 2 s-r s q n-s p n=4£ r- 9 n=49 r= 8 n=49 r- 7 n=49 r= 6 n=49 r= 5 •n-49 v - 4 p .01 .0000000 .0000000 .0000006 .0000097 .0001322 .0014801 .01 .02 .0000005, .0000056 .0000526 .0004280 .0029366 •0165942 .02 .03 .0000136 .0000985- .0006212 .0033725- .OI55032 .0590840 .03 .04 .0001257 .0006800 .0032141 .0131144 .0455154 .1319180 .04 .03 .0006484 .0027992 .0105827 .0346574 .0970327 .2287140 .05 .06 .0023128 .0083053 .0261877 .0717946 .1692276 .3388332 .06 .07 .0063939 .0196600 .0532311 .1258385- .2573804 .4515614 .07 .08 .0146674 .0394516 .0937410 .1953757 .3547575, .5584120 .08 .09 .0291760 .0698010 .1480416 .2768252 .4543905- .'6538774 .09 .10 .0518679 .1118606 .2147052 .3653845, .5503091 .7352337 .10 .11 .0842098 .1655467 .2908969 .4559988 .6381567 .-8019148 .11 .12 .1268816 .2295401 .3729361 .54^1220 .7153080 .■8547928 .12 .13 .1796199 .3015165- .4569012 .6261843 .7806699 .'8955439 .13 .14 .2412325, .3785153 •5391456 .6997758 .8343297 .9261681 .14 .15 .3097605, .4573521 .6166572 .7636131 .8771700 .9486687 .15 .16 .3827383 .5349914 .6872444 .8173677 .9105241 . 9648654 .16 .17 .4574925- .6088307 .7495710 .8614316 .9359056 .9763066 .17 .18 .5314252 .6768717 .8030793 .8966751 .9548179 .9842483 .'18 .19 .6022437 .7377845, .8478477 .9242318 .9686370 .9896710 .19 .20 .6681148 .7908827 .8844201 .9453283 .9785509 .9933165- .20 .21 .7277396 .8360376 .9136389 .9611622 .9855410 .9957311 .21 .22 .7803587 .8735587 .9364989 .9728259 .9903890 .9973077 .22 .23 .8257035, .9040641 .9540332 .9812661 .9936985, .9983231 .23 .24 .8639116 .9283586 .9672314 .9872705- .9959237 .9989684 .24 .25 .8954271 .9473295, .9769880 .9914724 .9973978 .9993730 .25 .26 .9208989 .9618667 .9840764 .9943667 .9983605, .9996235, .26 .27 .9410882 .9728060 .9891404 .9963297 .9989804 .9997766 • 27 .28 •9567926 .9808945, .9926996 .9976412 .9993740 .9998691 .28 .29 .9687883 .9867741 .9951616 .9985045, .9996206 .9999242 -29 .30 ,9777906 .9909775, .9968384 .9990646 .9997730 .9999566 .30 .31 .9844310 .9939340 .9979630 .9994228 .9998659 .9999755- .31 .32 .9892473 .9959805, .9987058 .9996486 .9999218 .9999863 .32 • 33 .9926831 .9973749 .9991893 .9997890 .9999550, .9999925- .33 .34 .9950944 .9983102 .9994992 .9998750- .9999744 .9999959 .34 .35 .9967595, .9989280 .9996950, .9999269 .9999857 .9999978 .35 • 36 .9978911 .9993298 .9998169 .9999579 .9999921 .9999988 .36 .37 .9986479 .9995871 .9998916 .9999761 .9999957 •9999994 .37 .38 .9991461 .9997493 .9999368 .9999866 .9999977 .9999997 .38 .39 .9994689 .9998501 .9999637 .9999926 .9999988 .9999998 .39 .40 .9996747 .9999117 .9999794 .9999960 .9999994 .9999999 .40 .41 .9998038 .9999488 .9999885, .9999978 .9999997 1.0000000 .41 .42 .9998835, .9999708 .9999937 .9999989 .9999998 1.0000000 .42 .43 .9999319 .9999836 .9999966 .9999994 .9999999 1.0000000 .43 .44 .9999609 .9999909 .9999982 .9999997 1.0000000 1.0000000 .44 .45 .9999779 .9999951 .9999991 .9999998 1.0000000 1.0000000 .45 .46 .9999877 .9999974 .9999995, .9999999 1.0000000 1.0000000 .46 .47 •9999933 .9999986 .9999998 1.0000000 1.0000000 1.0000000 .47 .48 .9999964 •9999993 •9999999 1.0000000 1.0000000 1.0000000 .48 .49 .9999981 .9999996 .9999999 1.0000000 1.0000000 1.0000000 .49 • 50 .9999990 .9999998 1.0000000 1.0000000 1.0000000 1.0000000 .50 -a 386 BINOMIAL DISTRIBUTION Table 2 - Partial Sums n l s-r s n-s q p n-49 r-3 n-49 r**2 n~49 r-1 p .01 .0130840 . 0864106 .3888828 .01 .02 .0747876 .2567966 .6283983 .02 .03 .1816154 .4344994 .7751903 .03 .04 .3122367 .5884695- .8647023 .04 • 05 .4^62744- .7101242 .9190053 .05 .06 .5698901 .8009470 .9517758 .06 .07 .6758946 .8661347 .9714462 .07 .08 .7620664 .9115575- .9831886 .08 .09 .8292717 .9424695- .9901592 .09 .10 .8799573 .9630964 .99^2736 .10 .11 .9171280 .9766289 .9966878 .11 .12 .9437397 .9853744 .9980961 .12 .13 .9623936 .9909497 .9989125- .13 .14 .9752246 .9944596 .9993828 .14 .15 .9839000 .9966432 .9996520 .15 .16 .9896733 .9979866 .9998052 .16 .17 .9934589 .9988042 .9998917 .17 .18 .9959067 .9992967 .9999402 .18 .19 .9974685- .9995903 .9999672 .19 .20 .9984523 .9997636 .9999822 .20 .21 •9990645- .9998649 .9999904 .21 .22 .9994408 .9999235, .9999948 .22 •a .9996694 .9999571 .9999973 .23 .24 .9998067 .9999762 .9999986 .24 .25 .9998882 .9999869 .9999992 .25 . 26 .9999361 .9999929 .9999996 .26 .27 .9999639 .9999962 .9999998 .27 .28 .9999798 .9999980 .9999999 .28 .29 .9999888 .9999989 .9999999 .29 .30 .9999939 .9999994 1.0000000 .30 .31 .9999967 .9999997 l.OQOOOOO .31 .32 .9999982 .9999999 1.0000000 .32 .33 .9999991 .9999999 1.0000000 .33 .34 .9999995, 1.0000000 l.OQOOOOO .34 .55 .9999997 1.0000000 1.0000000 .35 .36 .9999999 1.0000000 1.0000000 .36 • 37 -y Q .9999999 1.0000000 1.0000000 .37 .38 1.0000000 1.0000000 1.0000000 .38 • 39 1.0000000 1.0000000 1.0000000 .39 . 40 •l* 0000000 1.0000000 1.0000000 .40 .41 1.0000000 1.0000000 1.00(50000 .41 .42 1.0000000 1.0000000 1.0000000 .42 • 43 1.0000000 1.0000000 1.0000000 .43 .44 1.0000000 1.0000000 1.0000000 .44 . 45 1.0000000 1.0000000 1.0000000 .45 . ^6 1.0000000 1.0000000 1.0000000 .46 .47 1.0000000 1.0000000 1.0000000 .47 .48 1.0000000 1.0000000 1.0000000 .48 .49 1.0000000 1.0000000 1.0000000 .49 . 50 1.0000000 1.0000000 1.0000000 .50 387 Applied Mathematics Program of the National Bureau of Standards National Applied Mathematics Laboratories The National Applied Mathematics Laboratories, Dr. J. H. Curtiss, chief, constitute a division of the National Bureau of Standards. The functions of the laboratories, in general terms, are to perform research and provide services in various quantitative fields of mathematics. Specifically, the labora¬ tories undertake to conduct basic research in the fields of mathematics extensively used by the physical and engineering sciences, with special emphasis on the development and utilization of high-speed numeri¬ cal analysis in these fields. The development and construction of pertinent tools, such as automatic high-speed computing machines and mathematical tables, is part of the program, and a general-purpose computing service specializing in digital methods of calculation is provided. Such services as consul¬ tation on special problems in these fields, theoretical and in-service training, and the publication of the results of research are included. Applied Mathematics Series This series is intended to serve as a vehicle for the publication of mathematical tables, manuals, and studies by the mathematics laboratories of the National Bureau of Standards. The tables in this series are a continuation of those in the Mathematical Tables series listed below as MTl to MT37. The numbers in this series are available from the Superintendent of Documents, Government Printing Office, Washington 25, D. C. Payment should be made to the Superintendent of Documents, using check, money order, or Superintendent of Documents’ coupons. The prices are for delivery in the United States and its possessions and in countries extending the franking privilege; that is, Canada and most of the Latin-American countries. To other countries, one-third of the list price of the publications should be included in the remittance to cover cost of mailing. AMSl. Tables of the Bessel Functions Y 0 (x), Y i(x), K 0 (x), K i(z), 0] (1942) XXV+169 pages; bound in buckram, $2.00. MT17. Miscellaneous Physical Tables: Planck’s Radiation Functions and Electronic Functions. (Originally published in the Journal of the Optical Society of America; February 1940); (1941) VII + 58 pages; bound in buckram, $1.50. MT18. Table of the Zeros of the Legendre Poly¬ nomials of Order 1-16 and the Weight Coeffi¬ cients for Gauss’ Mechanical Quadrature Formula. (Reprinted from Bui. Amer. Math. Soc., October 1942). 5 pages, with cover, 25 cents. MT19. On the Function H(m,a,x) = exp( — ix) X F(m+1 — ia, 2m + 2; 2 ix); with table of the confluent hypergeometric function and its first derivative. (Re¬ printed from J. Math. Phys., December 1942.) 20 pages, with cover, 25 cents. MT20. Table of Integrals f J 0 (t)dt and f Y 0 (t)dt. Jo Jo (Reprinted from J. Math. Phys., May 1943.) 12 pages, with cover, 5 cents. MT21. Table of Ji 0 (x) = J* dt and Related Func¬ tions. (Reprinted from J. Math. Phys., June 1943.) 7 pages, with cover, 25 cents. MT24. Coefficients for Numerical Differentiation With Central Differences. (Reprinted from J. Math. Phys., Sept. 1943.) 21 pages, with cover, 25 cents. MT25. Seven-Point Lagrangian Integration Formu¬ las. (Reprinted from J. Math. Phys., Dec. 1943.) 4 pages, with cover, 10 cents. MT26. A Short Table of the First Five Zeros of the Transcendental Equation J 0 (x) Y 0 (kx) — J 0 (kx) X Fo(*)=0. (Reprinted from J. Math. Phys., Dec. 1943.) 2 pages, with cover, 25 cents. MT27. Table of Coefficients for Inverse Interpola¬ tion With Central Differences. (Reprinted from J. Math. Phys., Dec. 1943.) 15 pages, with cover, 25 cents. 7l! MT28. Table of/„( i) — ^y^y^ J B (x). (Reprinted from J. Math. Phys., Feb. 1944.) 16 pages, with cover, 25 cents. MT29. Table of Coefficients for Inverse Interpola¬ tion With Advancing Differences. (Reprinted from J. Math. Phys., May 1944.) 28 pages, with cover, 25 cents. MT30. A New Formula for Inverse Interpolation. (Reprinted from Bui. Amer. Math. Soc., Aug. 1944.) 4 pages, with cover, 25 cents. MT31. Coefficients for Interpolation Within a Square Grid in the Complex Plane. (Reprinted from J. Math. Phys., Aug. 1944.) 11 pages, with cover, 25 cents. MT32. Table of Coefficients for Differences in Terms of Derivatives. (Reprinted from J. Math. Phys., Nov. 1944.) 4 pages, with cover, 25 cents. MT33. Table of Coefficients for Numerical In_ tegration Without Differences. (Reprinted from J. Math. Phys., Feb. 1945.) 21 pages, with cover, 25 cents. MT34. Inverse Interpolation for Eight-, Nine-, ten-, and Eleven-Point Direct Interpolation. (Reprinted from J. Math. Phys., May 1945.) 4 pages, with cover, 25 cents. MT35. Table of Coefficients for Double Quad¬ rature Without Differences, for Integrating Second-Order Differential Equations. (Reprinted from J. Math. Phys., Nov. 1945.) 6 pages, with cover, 25 cents. MT36. Formulas for L.rect and Inverse Inter¬ polation of a Complex Function Tabulated Along Equidistant Circular Arcs. (Reprinted from J. Math. Phys., Nov. 1945.) 3 pages, with cover, 25 cents. MT37. On the Computation of Mathieu Functions. (Reprinted from J. Math. Phys., Feb. 1946.) 20 pages, with cover, 25 cents. SO-j.1 * 5 ”'” l ' s J ^ lt;l7-<(5 7* . ■ 4 " %